Chemical compositions of the coatings under study.
\\n\\n
Released this past November, the list is based on data collected from the Web of Science and highlights some of the world’s most influential scientific minds by naming the researchers whose publications over the previous decade have included a high number of Highly Cited Papers placing them among the top 1% most-cited.
\\n\\nWe wish to congratulate all of the researchers named and especially our authors on this amazing accomplishment! We are happy and proud to share in their success!
\\n"}]',published:!0,mainMedia:null},components:[{type:"htmlEditorComponent",content:'IntechOpen is proud to announce that 179 of our authors have made the Clarivate™ Highly Cited Researchers List for 2020, ranking them among the top 1% most-cited.
\n\nThroughout the years, the list has named a total of 252 IntechOpen authors as Highly Cited. Of those researchers, 69 have been featured on the list multiple times.
\n\n\n\nReleased this past November, the list is based on data collected from the Web of Science and highlights some of the world’s most influential scientific minds by naming the researchers whose publications over the previous decade have included a high number of Highly Cited Papers placing them among the top 1% most-cited.
\n\nWe wish to congratulate all of the researchers named and especially our authors on this amazing accomplishment! We are happy and proud to share in their success!
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Venkateswarlu",coverURL:"https://cdn.intechopen.com/books/images_new/371.jpg",editedByType:"Edited by",editors:[{id:"58592",title:"Dr.",name:"Arun",surname:"Shanker",slug:"arun-shanker",fullName:"Arun Shanker"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"878",title:"Phytochemicals",subtitle:"A Global Perspective of Their Role in Nutrition and Health",isOpenForSubmission:!1,hash:"ec77671f63975ef2d16192897deb6835",slug:"phytochemicals-a-global-perspective-of-their-role-in-nutrition-and-health",bookSignature:"Venketeshwer Rao",coverURL:"https://cdn.intechopen.com/books/images_new/878.jpg",editedByType:"Edited by",editors:[{id:"82663",title:"Dr.",name:"Venketeshwer",surname:"Rao",slug:"venketeshwer-rao",fullName:"Venketeshwer Rao"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"4816",title:"Face Recognition",subtitle:null,isOpenForSubmission:!1,hash:"146063b5359146b7718ea86bad47c8eb",slug:"face_recognition",bookSignature:"Kresimir Delac and Mislav Grgic",coverURL:"https://cdn.intechopen.com/books/images_new/4816.jpg",editedByType:"Edited by",editors:[{id:"528",title:"Dr.",name:"Kresimir",surname:"Delac",slug:"kresimir-delac",fullName:"Kresimir Delac"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}]},chapter:{item:{type:"chapter",id:"45328",title:"Quantum Communication Processes and Their Complexity",doi:"10.5772/56356",slug:"quantum-communication-processes-and-their-complexity",body:'The complex systems and their dynamics are treated various way. Ohya looked for synthesizing method to treat complex systems. He established Information Dynamics [36] which is a new concept unifying the dynamics of a state and the complexity of the system itself. By applying Information Dynamics, one can discuss in a unified frame the problems such as in mathematics, physics, biology, information science. Information Dynamics is growing as one of the research fields, for instance, the international journal named "Open Systems and Information Dynamics" in 1992 has appeared. In ID, there are two types of complexity, that is, (a) a complexity of state describing system itself and (b) a transmitted complexity between two systems. Entropies of classical and quantum information theory are the example of the complexities of (a) and (b).
Shannon [52] found that the entropy, introduced in physical systems by Clausius and Boltzmann, can be used to express the amount of information by means of communication processes, and he proposed the so-called information communication theory at the middle part of the 20th century. In his information theory, the entropy and the mutual entropy (information) are most important concepts. The entropy relates to the complexity of ID measuring the amount of information of the state of system. The mutual entropy (information) corresponds to the transmitted complexity of ID representing the amount of information correctly transmitted from the initial system to the final system through a channel, and it was extended to the mutual entropy on the continuous probability space by Gelfand– Kolmogorov - Yaglom [17,23], which was defined by using the relative entropy of two states by Kullback-Leibler [26].
Laser is often used in the current communication. A formulation of information theory being able to treat quantum effects is necessary, which is the so-called quantum information theory. The quantum information theory is important in both mathematics and engineering. It has been developed with quantum entropy theory and quantum probability. In quantum information theory, one of the important problems is to investigate how much information is exactly transmitted to the output system from the input system through a quantum channel. The amount of information of the quantum input system is described by the quantum entropy defined by von Neumann [29] in 1932. The C*-entropy was introduced in [33,35] and its property is discussed in [28,21]. The quantum relative entropy was introduced by Umegaki [55] and it is extended to general quantum system by Araki [4,5], Uhlmann [54] and Donald [14]. Furthermore, it had been required to extend the Shannon’s mutual entropy (information) of classical information theory to that in the quantum one. The classical mutual entropy is defined by using the joint probability expressing a correlation between the input system and the output system. However, it was shown by Urbanik [56] that in quantum system there does not generally exists a joint probability distribution. The semi-classical mutual entropy was introduced by Holevo, Livitin, Ingarden [18,20] for classical input and output passing through a possible quantum channel. By introducing a new notion, the so-called compound state, in 1983 Ohya formulated the mutual entropy [31,32] in a complete quantum mechanical system (i.e., input state, output state and channel are all quantum mechanical), which is called the Ohya mutual entropy. It was generalized to C*-algebra in [Oent84]. The quantum capacity [40] is defined by taking the supremum for the Ohya mutual entropy. By using the Ohya quantum mutual entropy, one can discuss the efficiency of the information transmission in quantum systems [28,27,44,34,35], which allows the detailed analysis of optical communication processes. Concerning quantum communication processes, several studies have been done in [31,32,35,40,41]. Recently, several mutual entropy type measures (Lindblad - Nielsen entropy [10] and Coherent entropy [6]) were defined by using the entropy exchange. One can classify these mutual entropy type measures by calculating their measures for the quantum channel. These entropy type complexities are explained in [39,43].
The entangled state is an important concept for quantum theory and it has been studied recently by several authors. One of the remarkable formulations to search the entanglement state is the Jamiolkowski’s isomorphism [22]. It might be related to the construction of the compound state in quantum communication processes. One can discuss the entangled state generated by the beam splitting and the squeezed state.
The classical dynamical (or Kolmogorov-Sinai) entropy S(T) [23] for a measure preserving transformation T was defined on a message space through finite partitions of the measurable space. The classical coding theorems of Shannon are important tools to analyze communication processes which have been formulated by the mean dynamical entropy and the mean dynamical mutual entropy. The mean dynamical entropy represents the amount of information per one letter of a signal sequence sent from the input source, and the mean dynamical mutual entropy does the amount of information per one letter of the signal received in the output system. In this chapter, we will discuss the complexity of the quantum dynamical system to calculate the mean mutual entropy with respect to the modulated initial states and the attenuation channel for the quantum dynamical systems [59].
The quantum dynamical entropy (QDE) was studied by Connes-Størmer [13], Emch [15], Connes-Narnhofer-Thirring [12], Alicki-Fannes [3], and others [9,48,19,57,11]. Their dynamical entropies were defined in the observable spaces. Recently, the quantum dynamical entropy and the quantum dynamical mutual entropy were studied by the present authors [34,35]: (1) the dynamical entropy is defined in the state spaces through the complexity of Information Dynamics [36]. (2) It is defined through the quantum Markov chain (QMC) was done in [2]. (3) The dynamical entropy for a completely positive (CP) map was defined in [25]. In this chapter, we will discuss the complexity of the quantum dynamical process to calculate the generalized AOW entropy given by KOW entropy for the noisy optical channel [58].
The signal of the input quantum system is transmitted through a physical device, which is called a quantum channel. The concept of channel has been performed an important role in the progress of the quantum information communication theory. The mathematical representation of the quantum channel is a mapping from the input state space to the output state space. In particular, the attenuation channel [31] and the noisy optical channel [44] are remarkable examples of the quantum channels describing the quantum optical communication processes. These channels are related to the mathematical desctiption of the beam splitter.
Here we review the definition of the quantum channels.
Let
for any
Let
The above maps
The map
for any
Noisy optical channel
where
where
and
Theorem The noisy optical channel
where
In particular for the coherent input states
the output state of
The noisy optical channel with a vacuum noise is called the attenuation channel introduced in [31] by
where
In particular, for the coherent input state
one can obtain the output state
Lifting
We are interested to study the dynamics of state change or the complexity of state for several systems. Information dynamics (ID) is a new concept introduced by Ohya [36] to construct a theory under the ID\'s framework by synthesizing these investigating schemes. In ID, a complexity of state describing system itself and a transmitted complexity between two systems are used. The examples of these complexities are the Shannon\'s entropy and the mutual entropy (information) in classical entropy theory. In quantum entropy theory, it was known that the von Neumann entropy and the Ohya mutual entropy relate to these complexities. Recently, several mutual entropy type measures (the Lindblad - Nielsen entropy [10] and the Coherent entropy [6]) were proposed by means of the entropy exchange for an input state and a channel.
Ohya introduced Information Dynamics (ID) synthesizing dynamics of state change and complexity of state. Based on ID, one can study various problems of physics and other fields. Channel and two complexities are key concepts of ID. Two kinds of complexities
For any
For a bijection
is hold, where
For
It means that the complexity of the state
(1’) For any
(4)
(5) If the channel
The examples of the above complexities are the Shannon entropy
Since the present optical communication is using the optical signal including quantum effect, it is necessary to construct new information theory dealing with those quantum phenomena in order to discuss the efficiency of information transmission of optical communication processes rigorously. The quantum information theory is important in both mathematics and engineering, and it contains several topics, for instance, quantum entropy theory, quantum communication theory, quantum teleportation, quantum entanglement, quantum algorithm, quantum coding theory and so on. It has been developed with quantum entropy theory and quantum probability. In quantum information theory, one of the important problems is to investigate how much information is exactly transmitted to the output system from the input system through a quantum channel. The amount of information of the quantum communication system is described by the quantum mutual entropy defined by Ohya [31], based on the quantum entropy by von Neumann [29], and the quantum relative entropy by Umegaki [55], Araki [4] and Uhlmann [54]. The quantum information theory directly relates to quantum communication theory, for instance, [40,41,45]. One of the most important communication processes is quantum teleportation, whose new treatment was studied in [24]. It is important to classify quantum states. One of such classifications is to study entanglement and separability of states (see [7,8]). There have been lots of trials in finite dimensional Hilbert spaces. Quantum mechanics should be basically discussed in infinite dimensional Hilbert spaces. We have to study such a classification in infinite dimensional Hilbert spaces.
The study of the entropy in quantum system was begun by von Neumann [29] in 1932. For any state given by the density operator
Since the von Neumann entropy satisfies the conditions (1),(2),(3) of the complexity of state of ID, it seems to be considered as an example of the complexity of state
Here we briefly explain Let us comment general entropies of states in C*-dynamical systems. The C*-entropy (
Let
where
where
For a state
It describes the amount of information of the state
The classical relative entropy in continuous probability space was defined by Kullback-Leibler [26]. It was developed in noncommutative probability space. The quantum relative entropy was first defined by Umegaki [55] for σ-finite von Neumann algebras, which denotes a certain difference between two states. It was extended by Araki [4] and Uhlmann [54] for general von Neumann algebras and *-algebras, respectively.
The relative entropy of two states was introduced by Umegaki in [55] for
where
The relative entropy for two general states was introduced by Araki [4,5] in von Neumann algebra and Uhlmann [54] in *-algebra. The above properties are held for these relative entropies.
Let
where
Definition The Araki’s relative entropy of
where
Let
For each
For any
This semi-norm
Let
Definition The Uhlmann’s relative entropy of
The Ohya mutual entropy [31] with respect to the initial state
where
where
For a certain set
If
Theorem For a subset
where
Based on the classical relative entropy, the mutual entropy was discussed by Shannon to study the information transmission in classical systems and it was extended by Ohya [33,34,35] for fully general quantum systems.
Let
The compound state
and the mutual entropy with respect to
Shor [53] and Bennet et al [6,10] proposed the mutual type measures so-called the coherent entropy and the Lindblad-Nielson entropy by using the entropy exchange [50] defined by
where
for a state
of a channel
In this section, we compare with these mutual types measures. By comparing these mutual entropies for quantum information communication processes, we have the following theorem [47]:
Theorem Let
For the attenuation channel
Theorem For any state
Theorem For the attenuation channel
The above Theorem shows that the coherent entropy
The classical dynamical (or Kolmogorov-Sinai) entropy S(T) [23] for a measure preserving transformation T was defined on a message space through finite partitions of the measurable space.
The classical coding theorems of Shannon are important tools to analyse communication processes which have been formulated by the mean dynamical entropy and the mean dynamical mutual entropy. The mean dynamical entropy represents the amount of information per one letter of a signal sequence sent from an input source, and the mean dynamical mutual entropy does the amount of information per one letter of the signal received in an output system.
The quantum dynamical entropy (QDE) was studied by Connes-Størmer [13], Emch [15], Connes- Narnhofer-Thirring [12], Alicki-Fannes [3], and others [9,48,19,57,11]. Their dynamical entropies were defined in the observable spaces. Recently, the quantum dynamical entropy and the quantum dynamical mutual entropy were studied by the present authors [34,35]: (1) The dynamical entropy is defined in the state spaces through the complexity of Information Dynamics [36]. (2) It is defined through the quantum Markov chain (QMC) was done in [2]. (3) The dynamical entropy for a completely positive (CP) maps was introduced in [25].
The classical Shannon ‘s coding theorems are important subject to study communication processes which have been formulated by the mean entropy and the mean mutual entropy based on the classical dynamical entropy. The mean entropy shows the amount of information per one letter of a signal sequence of an input source, and the mean mutual entropy denotes the amount of information per one letter of the signal received in an output system. Those mean entropies were extended in general quantum systems.
In this section, we briefly explain a new formulation of quantum mean mutual entropy of K-S type given by Ohya [35,27].
In quantum information theory, a stationary information source is denoted by a
Let an output
In this section, we explain functional
Let
Furthermore
For any pair
where
For a given pair of finite sequences of completely positive unitalmaps
Let
For each completely positive unital map
The functional
Then the fundamental inequality in information theory holds for
These functional
Proposition If
for any finite partitions
In general quantum structure, we have the following theorems [35,27].
Theorem Let
Theorem Let
The above theorem is a Kolmogorov-Sinai type convergence theorem for the mutual entropy [35,27,28,34].
In particular, a quantum extension of classical formulation for information transmission giving a basis of Shannon\'s coding theorems can be considered in the case that
Using this capacity, one can consider Shannon\'s coding theorems in fully quantum systems.
Based on the paper [59], we here explain general modulated states and briefly review some examples of modulated states (PPM, OOK, PSK).
Let
We denote the set of all density operators on
where an element of
where an element of
For any
where
For
where
For
where
Now we briefly review the calculation of the mean mutual entropy of K-S type for the modulated state (PSK) by means of the coherent state. Other calculations are obtained in [59].
where
PSK. For an initial state
where the eigenvalues
Two projections
where
For the above initial state
where the eigenvalues
When
The compound states through the attenuation channel
Lemma For an initial state
By using the above lemma, we have the following theorem.
Theorem For an initial state
and
In this section, we briefly explain the definition of the KOW entropy according to [25].
For a normal state
in the sense of [1,25], where
in the sense of Accardi and Ohya [1]. For a normal, unital CP map
and the lifting is defined by
where
for all
where
Definition The quantum dynamical entropy with respect to
where
In this section, I briefly explain the generalized AF and AOW entropies based on the KOW entropy [25].
For a finite operational partition of unity
where
and
where
Therefore the generalized AF entropy
where the dynamical entropies
Then we have the following theorem [25]:
Theorem [58] When
where
Theorem [58] For
where
Based on [40,41,45,46], one can obtain
Thus we have
If
Ceramic cutting tools are more and more widely used due to their high hardness, wear resistance, and relatively low cost [1, 2, 3, 4, 5, 6]. The main specific feature of cutting ceramics is the absence of a binder phase, which significantly reduces the degree of softening in ceramic cutting tools during heating and increases their plastic strength. Due to the above, the cutting process can imply high cutting speeds, which significantly exceeds the cutting speeds typical for the machining with carbide cutting tools [1, 2, 5, 6]. While for a carbide cutting tool, the limiting level of cutting speeds is 500,600 m/min, then for a tool equipped with cutting ceramics, this level increases up to 9,001,000 m/min and higher [1]. However, the absence of the binder phase also has negative influence on the performance properties of ceramic cutting tools. In particular, their brittle strength, impact toughness, and resistance to crack formation decrease [1, 2, 3, 4]. This fact significantly influences the wear patterns on ceramic cutting tools. For example, low crack resistance provokes the formation of a crack front, which, due to the absence of a plastic binder phase, encounters no barriers to slow down or stop the crack development. The above is the main reason for micro- and macrochipping on contact pads of a ceramic cutting tool already at the stages of running-in or initial steady-state wear, causing failures because of brittle fracture. The noted wear mechanism prevails on ceramic cutting tools, and it actually does not depend on the cutting speed, because the temperature factor does not have a noticeable influence on the transformation of the wear mechanism. To a large extent, it is this mechanism of wear which determines the scope of application of the ceramic cutting tools [6, 7, 8, 9, 10, 11, 12].
At present, ceramic cutting tools are usually recommended for the finishing of gray, malleable, high-strength, and chilled cast irons, low- and high-alloy steels, including improved and heat-treated (up to HRC 55–60) non-ferrous alloys and structural polymer materials (K01 K05, P01 P05) [1, 2, 3, 4, 5, 6]. Under the above conditions, tools equipped with ceramic cutting inserts are noticeably superior to carbide cutting tools in terms of working efficiency.
During the intermittent cutting, the use of ceramic tools in machining with advanced values of cross-section of cut (ap × f) sharply reduces their efficiency due to the high probability of sudden failure because of the brittle fracture of the cutting parts of the tools [1, 2]. This fact largely explains the relatively low volume of ceramic tools used in production sector [1, 2].
In this regard, the main direction of improving the performance activities of cutting ceramics is an enhancement of its strength characteristics to expand the area of the technological application in cutting. Recently, a new class of tool materials has appeared attributed to the group of cutting ceramics with increased strength, toughness, and crack resistance (silicon nitride, reinforced ceramics), and this fact indicates that the scope of application of ceramic cutting tools expands noticeably [1, 2, 3, 4, 5, 6].
The operation conditions for ceramic cutting tools significantly differ from those under which tools of high-speed steel and carbides are used. A substantial increase in cutting speed changes the mechanism of chip formation and contact processes during the cutting, as well as the nature and level of power and temperature loads, thermomechanical stress, and mechanisms of tool wear [13, 14, 15]. The results of the studies focused on the stress state in the cutting part of a ceramic tool [16] indicate the presence of tensile and compressive stresses (Figure 1). At the same time, in most cases, the area of tensile stresses begins at the end of the contact area of the chips with the rake face. When section thickness is small, compressive stresses prevail, while at larger thicknesses, tensile stresses begin to play a significant role [17, 18].
Distribution of principal stresses σ1 and σ2 along the rake face of a cutting tool [1, 2].
The most stressed section in the tensile area is located on the rake face of the tool at a distance equal to (2–2.5)lc, where lc is the length of contact between the chips and the rake face of the tool.
With a decrease in the rake angle γ, the compression area extends, and the tensile area decreases or disappears at all. As a result, the negative angle γ is typical for a ceramic cutting tool and makes it possible to achieve a change in the stress state in the direction of the predominantly compressive stresses [17, 18]. Deposition of a coating on a cutting tool significantly changes the nature of the interaction between the material being machined and the tool. In [19, 20], the studies revealed that the coating parameters had a significant influence on the characteristics of the contact processes and the chip formation. To prevent a sudden failure of a ceramic cutting tool as a result of brittle fracture, it is necessary to control the processes of the contact interaction between the tool material and the material being machined by depositing coatings on the working surfaces of the tool. The composition and structure of such coatings will increase the length of the full contact between the chips and the rake face of the tool through enhancement of the adhesion to the material being machined and the improvement of heat removal from the cutting area due to increased thermal conductivity of the tool material. Thus, the specific thermomechanical loads on the cutting edge of the ceramic tool can be reduced (see Figure 2).
Differences in (a) stresses and (b) isotherms for a coated and uncoated tool: Cγ and Cγn - the total lengths of the contact between the chips and the rake face of the uncoated (the dashed line) and coated (solid line) tools, respectively; changes in stresses and isotherms occur in the direction of the arrows [1, 2].
There are a number of studies considering the use of coatings to improve the performance properties of ceramic cutting tools, with both oxide and nitride ceramics as the ground. In [21], the investigation is focused on PVD of the (Ti,Zr)N-(TiN/ZrN) and TiN-(TiAl)N-(TiN/(TiAl)N) nanostructured multilayer coatings, deposited on ceramic cutting inserts of Al2O3 + ZrO2 + Ti(C,N) and Al2O3 + TiC, with the external layer formed by the alternating nanolayers of TiN and ZrN or TiN and (Ti,Al)N, respectively. With the total coating thickness of 3–5 μm and the microhardness of about HV 29 GPa, the above coatings prolonged the tool life by 20–80% during the dry cutting of NC6 steel (HRC 48–52), at vc = 150 m/min, f = 0.10 mm/rev, ap = 0.5 mm.
In [22], the studies considered the properties of a ceramic cutting tool with the PVD coating of TiN-(Ti,Al,Si)N-TiN with the thickness of 2–4 μm with a nanostructured layer of (Ti,Al,Si)N and the CVD coating of TiN-Al2O3 with the thickness of 2.6–10 μm, when inserts of nitride ceramics of Si3N4 and oxide ceramics of Al2O3 + ZrO2 were used as substrates. The cutting properties were used during the turning of EN-GJL-250 gray cast iron and C45E steel. The cutting process was carried out under the following conditions: f = 0.10, 0.15, and 0.20 mm/rev; ap = 1 and 2 mm; vc = 200 and 400 m/min. The cutting tools with coatings of all types demonstrated the longer tool life compared to that of the uncoated tools, while the longest tool life was detected for the tools with the PVD coating of TiN-(Ti,Al,Si)N-TiN with the nanostructured middle layer. In [23], the studies considered the cutting properties of tools made of mixed ceramics of Al2O3 + TiCN with the TiN commercial coating during the turning of hardened American Iron and Steel Institute (AISI) 52,100 (HRC 63) steel under the following cutting conditions: f = 0.07, 0.11, and 0.14 mm/rev, ap = 0.5 mm, vc = 100, 150, 200, 250, and 300 m/min. The studies found that for the uncoated cutting inserts, wear in the form of cracking and chipping was more typical, while for the coated tools, the formation of a wear crater on the rake face was typical. The cutting path for the coated tool was about 8 times longer, and the temperature in the cutting area was substantially lower than for the uncoated tool.
According to the results of [24], which studied the cutting properties of tools made of silicon nitride (Si3N4) with the CVD coating of TiN-Al2O3 during the continuous turning of gray cast iron with various depths of cut, the prevailing failure mechanism for the above cutting tools was abrasive wear during the continuous turning and a combination of abrasive wear and brittle fracture during the machining with variable depths of cut. The coated cutting tools demonstrated much longer tool life compared to the uncoated cutting tools: the length and time of cutting were about 3.5 times longer at the cutting speed of 300 m/min and 2 longer at the cutting speed of 380 m/min.
The cutting properties of ceramic tools of Si3N4 with the PVD coating of (Ti,Al)N-(Al,Cr)O during the turning of HT250 gray cast iron and AISI 4340 steel were studied in [25]. The thicknesses of the (Ti,Al)N and (Al,Cr)O layers were about 2.0 and 0.6 μm, respectively. The tool life of a tool made of silicon nitride with the (Ti,Al)N-(Al,Cr)O coating was longer compared to uncoated inserts during the turning of gray cast iron and steel. In [26], authors investigated the cutting properties of tools based on silicon nitride with the PVD coatings of (Ti0.5,Al0.5)N and (Cr0.3,Al0.7)N during the dry turning of gray cast iron. For the tools with the (Ti0.5,Al0.5)N and (Cr0.3,Al0.7)N coatings, the tool life was at least 2 times longer compared to the uncoated tools. The tools with the (Ti0.5,Al0.5)N coating demonstrated longer tool life compared to the tools with the (Cr0.3,Al0.7)N coating. In [27], the studies are focused on the cutting properties of tools made of the Al2O3 + TiC mixed ceramics with the TiN-(Al,Cr)N multilayer coating during the dry turning of AISI 4340 (HRC 46) hardened steel at vc = 125–175 m/min, ap = 0.25–0.63 mm, f = 0.10–0.25 mm/rev. After 9 minutes of cutting, the wear VB was on average 45% higher for the uncoated tool.
The application of diamond-like carbon (DLC) coatings for ceramic cutting tools should be considered separately. While several studies consider the properties of DLC, deposited on a ceramic substrate, there are hardly any investigations focused on ceramic cutting tools with DLC coatings. For example, in [28, 29], the studies consider the challenges of improving the performance properties of ceramic tribological pairs (sliding bearings). A significant decrease in the coefficient of friction (COF) was noted with the use of samples with DLC coatings. Ceramic products made of SiC with DLC coatings demonstrate excellent chemical stability, low COF, and very good wear resistance [30]. The properties of DLC coatings deposited on the Si3N4 substrate were also considered. Gomes et al. [31] studied the tribological properties of uncoated samples and samples with the DLC and DLC-Si coatings under friction, paired with counterbodies made of stainless steel. Both coatings demonstrated good tribological properties, but samples with the DLC-Si coating separated from the substrate, and the wear coefficient for samples with the DLC coating was much lower compared to samples with the DLC-Si coating. As a result of the studies considering the properties of mechanical face seals of nitride ceramics with the DLC and DLC-Si coatings, it was found that the use of these coatings significantly reduced the COF and improved wear resistance of products. At the same time, the DLC coatings look more preferable compared to DLC-Si coatings [32]. Following the results of the investigation focused on the properties of the DLC coating, deposited on the substrate of Si3N4 and M50 steel, it was found that the normal stresses on the boundary of the “coating–substrate” interface were higher (by about 10%) for the ceramic substrate, which could be explained by the higher value of the elastic modulus of Si3N4 [33]. It has also been found that as the coating thickness grows from 200 up to 400 nm, the stresses decrease at the boundary of the “coating–substrate” interface in accordance with the quadratic expression, and such a decrease slows down with the growth of the coating thickness [34]. A sample with the DLC coating demonstrates a lower COF compared to a sample with the MoS2 coating [35]. Following the investigation focused on the tribological properties of a sample with the Cr-DLC coating under friction, paired with uncoated counterbodies of Al2O3, ZrO2, Si3N4, and WC in air and in the helium atmosphere, it was found that the tribological properties of the samples with the DLC coating were significantly higher in air than in the helium atmosphere [36]. Two-dimensional finite element modeling of the properties of the DLC coating, deposited on the substrate of Al2O3 exhibited that a growth of the DLC coating thickness led to an increase in its hardness and crack resistance [37]. The studies revealed the ability of the DLC coating to minimize surface defects on the substrate and significantly reduce the intensity of oxidation processes [38]. The DLC coatings deposited on the substrate of β-SiAlON increase the surface hardness and improve the surface quality [39]. The comparison of the tribological properties of the Cr2O3-based samples with the DLC, TiN, and TiAlN coatings and of the uncoated samples in contact with cast iron counterbodies found that the samples with the DLC coatings demonstrated the highest scuffing resistance and the lowest coefficient of friction (COF) [40]. The studies carried out in air and in water environment, in nitrogen atmosphere, and in vacuum revealed a significant decrease in the COF, an increase in wear and oxidation resistance after deposition of the DLC coatings on the substrates of SiC, Si3N4, and ZrO2 [41, 42]. Close values of the elastic modulus of the coating and the substrate is an important factor able to reduce internal stresses and thus improve the service life and reliability of products with the DLC coatings. At the same time, the deposition of coatings, in particular, the DLC coatings, on ceramic products increases their wear resistance, significantly reduces the COF, and enhances the oxidation resistance. Another important factor is also a leveling effect of a coating, which minimizes the influence of microconcentrators of stresses (pores, microcracks, etc.) on the reliability and service life of a product, while reducing the surface roughness value is important. Meanwhile, many studies note such a problem as the low strength of adhesive bonds between a DLC coating and a ceramic substrate, which leads to failure of the coating due to its separation from the substrate. Another important challenge is to study the influence of Si on the properties of the DLC coatings and the cutting properties of tools with such coatings.
Multicomponent coatings of Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N with three-layer architecture, including adhesion, transition, and wear-resistant layers [43, 44, 45, 46, 47, 48, 49, 50] were studied. The Ti-(Ti,Al)N coating widely used as a coating for metal-cutting tools was assumed as an object of comparison. The coating was chosen with the multilayer architecture, including an (Cr,Al,Si)N adhesive-smoothing layer, a DLC-Si transition layer, and a DLC wear-resistant layer, in order to secure high adhesion to the ceramic substrate and release the smoothing effect of the coating. Following some studies [51, 52, 53], it was found that the adhesion of the coating to the substrate was enhanced due to a DLC-Si layer included in the coating. Furthermore, in [51], the studies found that the DLC-Si demonstrated lower hardness and wear resistance compared to those of the DLC coating, and that fact contributed to the selection of DLC-Si as a transition layer ensuring high adhesion and a smooth transition of properties.
The adhesion layer of (Cr,Al,Si)N can demonstrate the extremely high hardness (up to 55 GPa [54]) in a combination with significant toughness [55]. High thermal stability is another important feature of the above compound [55, 56]. Therefore, there is a possibility of a transition from a ceramic substrate (with the hardness of 15 to 20 GPa) through the (Cr,Al,Si)N layer to DLC-Si layers and a DLC coating (with the hardness from 30 to 80 GPa). Furthermore, due to its greater toughness compared to the DLC coating, the (Cr,Al,Si)N layer is able to “heal” microcracks and micropores by penetrating them on the surface of a ceramic substrate. In [57, 58, 59], the studies found that due to its nanocomposite structure, the (Cr,Al,Si)N layer improved the crack resistance while retaining high hardness.
The filtered cathodic vacuum arc deposition (FCVAD) was used to deposit the coatings of Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N and Ti-(Ti,Al)N in the VIT-2 unit [43, 60, 61, 62, 63, 64, 65, 66].
The lateral rotating cathode technology (LARC; developed by PLATIT – BCI Group, Switzerland) was applied to deposit DLC coatings on a PLATIT π-311 unit.
A nitride coating was deposited using cathodes containing Cr, Al, or Al–Si (88:12 at%). Argon (Ar) ions were subjected to purification using a beam of Ar ions at an anode voltage of 800/200 V and a current of 0.5 A for 20 min. A coating of Si-DLC was deposited using a mixture of gases, including 90% acetylene (C2H2), 8% Ar, and 2% tetramethylsilane (Si(CH3)4). A similar mixture of gases, except for Si(CH3)4, was used to deposit a pure DLC coating.
The microstructural investigation of samples involved a scanning electron microscope (SEM; Field Electron and Ion Company) Quanta 600 FEG.
The micro- and nanostructures of the samples were analyzed with a JEM 2100 high-resolution transmission electron microscope (HR-TEM), at the accelerating voltage of 200 kV. The energy-dispersive X-ray spectroscopy (INCA Energy) was applied to study the chemical composition of the samples.
The nanoindentation technique on an Instron Wilson Hardness Group Tukon device at the load of 0.01 N was applied to find the microhardness of the coatings. A CU 500 MRD lathe (Sliven) with a ZMM CU500MRD variable speed drive was used during the turning of workpieces made of AISI 52100 (HRC 56–58) hardened steel to study the cutting properties of the coated tool and the dynamics of its wear, at f = 0.1 mm/rev, ap = 0.5 mm, and vc = 320 m/min (for the tool with the DLC coatings) and ASTM T31507 hardened steel (DIN 1.2419, HRC 58–60) and ASTM X153CrMoV12 (DIN 1.2379, HRC 60–61) hardened steel vc = 80–350 m/min; f = 0.1–0.25 mm/rev; ap = 0.5–1.0 mm for the tool with the Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N and Ti-(Ti,Al)N coatings.
The structure of the Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating is depicted in Figure 3 [67]. The total thickness of the coating is about 4 μm, and the nanolayer binary period λ is about 120 nm.
Micro (a) and nano (b) structure of the cross-section for cutting Al2O3–TiC with Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coatings ceramic inserts [67](SEM).
The chemical compositions of the coatings under study are presented in Table 1.
Ti, at% | Al, at% | Zr, at% | Nb, at% | |
---|---|---|---|---|
Ti-(Ti,Al)N | 70 | 30 | — | — |
Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N | 42 | 26 | 29 | 3 |
Chemical compositions of the coatings under study.
The coatings contain a similar amount of aluminum; however, the presence of Zr and Nb in the second coating causes some decrease in hardness with an increase in ductility, which makes it possible to provide a good level of resistance to brittle fracture [44, 46].
Figure 4a and b exhibit the results of the studies focused on the cutting properties of a tool equipped with (1) uncoated ceramic inserts made of Al2O3-TiC and Al2O3-SiCw ceramics, (2) Ti-(Ti,Al)N coating, and (3) Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating [67]. During the longitudinal turning of X153CrMoV12 hardened steel, the wear rate of ceramic tools based on mixed ceramics of Al2O3-TiC and Al2O3-SiCw depends rather largely on the coating composition. In particular, the maximum increase in the wear resistance of ceramic tools was provided by coatings based on the complex composite nanostructured system of Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N. At VB = 0.4 mm, the above system increases the tool life of a ceramic tool up to 1.5 times compared to an uncoated tool and by 1.3 times compared to a tool with the Ti-(Ti,Al)N commercial coating.
Relationship between wear VBmax and cutting time for (1) uncoated inserts, (2) tools with Ti-(Ti,Al)N coating, and (3) Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating, during the longitudinal turning of X153CrMoV12 hardened steel at vc = 250 m/min, f = 0.05 mm/rev, ap = 0.5 mm, inserts made of (a) Al2O3-TiC and (b) Al2O3-SiCw at vc = 300 m/min, f = 0.1 mm/rev, ap = 0.5 mm, inserts made of (b) Al2O-SiCw [67].
According to the studies of [1, 2, 3, 4, 14, 15, 16, 17, 18], for a ceramic tool, the brittle fracture of its cutting edge is the most probable mechanism of failure. This fact can be explained by the lower brittle strength of the ceramic tool material in comparison with the same parameters of the carbide tool material. Ceramic tools also tend to stochastic brittle fracture because of the higher contact stresses, in particular, normal stresses. In general, the above contact stresses exceed the same values for carbide tools because of the considerable decrease in the total length of the contact between the chips and the rake face of the ceramic tool, at a small decrease in the normal load.
There are is a balance in the nature of wear centre development on the rake and flank faces of the Al2O3-TiC ceramic cutting insert with the Ti-(Ti,Al)N and Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coatings during the longitudinal turning of X153CrMoV12 hardened steel, with no visible chips and microchipping. Undisturbed residues of coatings at the edges of wear centres both on the rake and flank faces of the ceramic cutting insert are also typical for the process described above (Figure 5a and b) [67].
Wear pattern after 25 minutes in the longitudinal turning of X153CrMoV12 hardened steel at vc = 250 m/min, f = 0.05 mm/rev, ap = 0.5 mm for cutting inserts made of Al2O3-TiC with Ti-(Ti,Al)N [67] (SEM).
Both on the rake and flank faces of the tool, the wear mechanism typical for the Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating is primarily an abrasive interaction with the material being machined (Figures 6 and 7) [67]. It should be noted that the coating and the substrate work as a unified system, where cracks and chipping hardly occur. No adherents of the material being machined are detected on the coating surface, which may relate to the low adhesion between the external (wear-resistant) layer and the material being machined.
Wear pattern on (a) rake face, (b) flank face, and (c) corner of the Al2O3-TiC ceramic insert with the Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating [67] (SEM).
Wear pattern on the rake face of the Al2O3-TiC ceramic insert with Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating [67] (SEM).
During the cutting, good adhesion retains between the coating and the ceramic substrate (Figure 7) [67].
For the Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating, the typical mechanism of the coating failure is the formation of longitudinal cracks in the areas immediately adjacent to the cutting area (Figure 8) [67]. However, such cracks related to the delamination of the coating under the influence of the compressive residual stresses are much less dangerous compared to transverse cracks, often formed in monolithic coatings.
Ceramic insert of Al2O3-TiC with the Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N coating [67] (SEM).
During the process of cutting with the ceramic tool with the Ti-(Ti,Al)N coating, massive adherents of the material being machined are formed, both on the rake and flank faces of the tool (Figure 9) [67]. The mechanism of tool wear relates to the adhesive-fatigue processes, which is confirmed by the nature of the coating failure with clear tear-outs of the coating elements (see Figure 9).
Wear pattern (a) on the rake face of the Al2O3-TiC ceramic insert with the Ti-(Ti,Al)N coating and wear pattern (b) on the flank face of insert with particles of the material being machined after 20 minutes in longitudinal turning of X153CrMoV12 hardened steel at vc = 250 m/min, f = 0.05 mm/rev, ap = 0.5 mm [67] (SEM).
The investigation of the DLC-1 coating structure using TEM reveals the presence of a wear-resistant layer in the amorphous DLC and a (Cr,Al,Si)N transition layer with the columnar structure (Figure 10a and b) [68]. In its turn, the DLC layer structure includes sublayers of DLC-Si at the border of the (Cr,Al,Si)N layer and the coating surface. The (Cr,Al,Si)N layer is about 0.4 μm thick, and the thickness of the DLC layer is about 1.4 μm.
Internal structure of the coatings under study: (a and b) DLC-1; (c and d) DLC-2; and (e and f) DLC-3 obtained using TEM [68].
The DLC-2 coating also has a two-layer structure with a (Cr,Al,Si)N transition layer and a DLC wear-resistant layer (Figure 10c and d). The thickness of the transition layer is about 0.3 μm, while the thickness of the DLC layer is about 1.1 μm.
The TEM analysis of the cross-section image for the DLC-1 coating (Figure 10a) reveals the absence of any clear structure in the DLC layer. The electron diffraction patterns depict a broadened halo, typical for an amorphous structure, while a structure close to columnar can be noticed in the DLC-Si sublayer (Figure 10b). The chemical composition of the DLC-Si sublayer includes about 56 at% Si + 43 at% C + 1 at% O. The DLC layer includes about 1 at% Si + 97 at% C + 2 at% O (Figure 10b). The (Cr,Al,Si)N layer includes 70 at% Cr + 23at% Al + 7 at% Si. The surface layer of the ceramic substrate Al2O3 exhibits signs of diffusion of Cr in the volume of 0.3–0.4 at%. The area around the (Cr,Al,Si)N layer, adjacent to the border of the DLC-Si layer is characterized by an increase content of Si (about 10 at%) to ensure better adhesion with the DLC-Si layer. The high (above 50 at%) content of Si is detected in the transition layer and the surface layer of DLC.
The earlier studies have found that the structure of (Cr,Al,Si)N is characterized by a face-centered NaCl-type lattice with various crystal orientations: (111), (200), and (220) [26, 27]. In the presence of the CrN phase, the phases of Cr, Cr2N, CrSi2, and Si3N4 were also detected [27]. The investigation has also revealed that Si is present either in the form of a substitutional solid solution in the Cr-Al-N lattice, or in the form of an amorphous Si-N compound that accumulates at the grain boundaries of Cr-Al-N [27, 31, 32]. Figure 11 exhibits the nanostructure of the (Cr,Al,Si)N layer, characterized by the presence of various phases differing with interplanar spacings and orientations of crystal planes [68].
High-resolution TEM image showing the crystalline structure of the (Cr,Al,Si)N transition layer forDLC-1 [68].
The formation of a fan-shaped network of microdroplets in the DLC layer, caused by microdroplets of (Cr,Al,Si), embedded in the structure of the DLC layer, is depicted in Figure 12 [68]. During the process of cutting with a coated tool, active fracture can occur in those areas of the DLC layer. So, during the deposition of the coatings with the structures under study, the minimized number of microdroplets is a key condition to ensure the required working efficiency of the coating.
Influence of embedded microdroplets on forming cracks in the DLC layer for (a) DLC-3 and (b) DLC-2 coatings [68] (TEM).
The (Cr,Al,Si)N layer with its smoothing function plays an essential role during deposition of a DLC-Si layer with regard to the elimination of possible stress concentrators on the surface. In particular, a microdefect which appeared on the surface of the ceramic substrate as a result of conjunction of two grains is depicted in Figure 13 [68]. When the DLC-Si layer is deposited directly onto a ceramic substrate, such a microdefect can provoke cracking in the DLC-Si structure under the above-described mechanism. The above microdefect is being smoothed by the (Cr,Al,Si)N layer, which forms a smooth surface without serious defects that would be able to act as stress concentration in the DLC layer. With the prime function of the (Cr,Al,Si)N layer consisting in the provision of good adhesion between the ceramic substrate and the DLC-Si coating and the formation of a composite structure with a combination of high hardness and brittle fracture resistance, the smoothing functions of the (Cr,Al,Si)N layer are also crucial to secure good coating performance.
Example of the smoothing effect of the (Cr,Al,Si)N layer on the DLC-3 coating [68] (TEM).
Cutting tests are crucial in the assessment of the working efficiency of a coated tool and the performance properties of the very coating. The tests were also conducted to study the dynamics of wear on the rake faces of the uncoated cutting tools made of ceramics and the tools with the DLC-1 and DLC-2 coatings. The tool with the DLC-2 coating proved to have the best resistance to the wear crater formation on the rake face (see Figure 14) [68].
Dynamics of changes in the crater on the rake face of the tool [68].
The most active formation of a wear crater was detected on the uncoated tool. The active formation of adherents during the cutting is a typical feature of the tool with the DLC-1 coating. This proves high adhesion between the DLC-1 coating and the material being machined. As a result, strong adhesive bond bridges are formed and broken, which leads to a high adhesive-fatigue wear of the tool. At the same time, an abrasive wear with significantly lower adherent formation is typical for the tool with the DLC-2 coating.
The wear pattern on the rake face of the tool was considered in detail (Figure 10). The first typical feature was a much more active formation of an adherent of the material being machined for the tool with the DLC-1 coating. At the same time, the uncoated tool and the tool with the DLC-2 coating demonstrated an insignificant formation of such adherents. Based on the obtained results, it can be concluded that there is an increased adhesion between the material of the DLC-1 coating (with a surface sublayer with the high Si content) and the material being machined. The uncoated tool and the tool with the DLC-2 coating are characterized by primarily abrasive wear, accompanied by the formation of typical grooves in the direction of chip flow. The tool with the DLC-1 coating also has similar grooves, but there are also signs of the cutting edge chipping.
Since the flank wear is usually assumed as a limiting factor, its dynamics was considered (Figure 15) [68]. The most active flank wear was detected on the tool with the DLC-1 coating. As already stated, this fact can be explained by the high adhesion between the coating and the material being machined. As a result, the tool demonstrated the increased adhesive-fatigue wear. Meanwhile, less active adhesion to the material being machined and lower tendency to chipping were detected on the uncoated tool. At the same time, there is minor chipping in the area of the cutting edge. Finally, the tool with the DLC-2 coating demonstrated a low tendency to the formation of adherents and no visible signs of brittle fracture. Thus, the purely abrasive wear mechanism was typical for the tool with the DLC-2. The tool with the coating DLC-2 exhibited a 17% higher resistance to the flank wear. In combination with its noticeably higher resistance to the formation of a wear crater on the rake face and the more favorable wear pattern (implying the balanced abrasive wear instead of chipping and brittle fracture), the above proves the good prospects of the DLC-2 coating.
Tool wear on the flank face depending on the cutting time [68].
For a better understanding of the wear patterns on the samples, cross-sections were made passing through the centre of the wear craters.
Figure 16 demonstrates that the sample with the DLC-1 coating bears clear signs of cutting edge chipping. It is also clear that the coating is retained on the rake face of the tool in the area adjacent to the boundary of the wear crater. On the flank face, in the area adjacent to the flank wear land, the DLC layer failed while the (Cr,Al,Si)N layer was preserved. In general, the coating retains good adhesion to the substrate, and it does not separate from the substrate on the sample with the DLC-1 coating.
Investigation of the wear pattern on a cross-section of the tool with the DLC-1 coating [68] (SEM). Through cracks and tears (a, c), minor cracks and intact coating (b, d).
The wear process on the DLC-1 coating, especially its upper layer, is characterized by the formation of inclined cracks (Figure 16a–c), which in some cases also penetrate into the (Cr,Al,Si)N transition layer (Figure 16a and c). It is also clear that the surface of the ceramic substrate has a rather complex relief, and the (Cr,Al,Si)N transition layer fills in the microroughness of the surface and thus forms a basis for the DLC layer (Figure 16d) [68].
During the consideration of the wear process on the tool with the DLC-2 coating, it can be noticed that the transition layer of this coating demonstrates a higher tendency to brittle fracture compared to the transition layer of the DLC-1 coating (Figure 17) [68]. The DLC layer of the DLC-2 coating also bears signs of active brittle fracture. In the area, adjacent to the wear crater (Area B, Figure 17), almost complete failure of the DLC layer and partial failure of the transition layer are detected (Figure 17b). The brittle fracture of the ceramic substrate, accompanied by microchipping, also takes place. The signs of such brittle fracture are detected throughout the whole contact area on the rake face of the tool.
Investigation of the fracture pattern on a cross-section of the tool with the DLC-2 coating [68] (SEM). General view and a crack passing into a ceramic substrate (a), tearing out of a coating fragment (b), cracks in a coating turning into a substrate (c, d).
The chapter considered the specific features of the use of wear-resistant coatings deposited to improve the performance properties of ceramic cutting tools. The application of the Ti-(Ti,Al)N-(Zr,Nb,Ti,Al)N multilayer composite coating with a nanostructured wear-resistant layer and the (Cr,Al,Si)N-(DLC-Si)-DLC-(DLC-Si) and (Cr,Al,Si)N-DLC composite coatings increase the tool life of a ceramic cutting tool by 50–80%.
Following the studies, it has been found that the intensity of the thermal effect on structures of the ceramic substrate may be reduced through the deposition of the developed coatings under study on contact areas of ceramic cutting tools, since such coatings provide better heat removal from the cutting area due to an increased length of the plastic contact.
The use of the DLC-based coatings can both prolong (due to an enhanced resistance to abrasive wear) and shorten (due to higher adhesion) the tool life. It is not advisable to deposit a coating with an increased Si content in the surface layers of the coating, at least for the considered cutting conditions, despite a bit higher hardness of such coating. At the same time, a coating with the high Si content demonstrated a lower tendency to brittle fracture compared to the DLC-2 coating. The use of the (Cr,Al,Si)N transition layer is advisable, since it improves the adhesion between the ceramic substrate and the DLC coating.
The results of the conducted studies prove the prospects for the application of multilayer composite coatings, including those with DLC layers introduced to improve the cutting properties of ceramic cutting tools (both assembled and one-piece tools).
This study was supported by a grant of the Russian Science Foundation [Agreement No. 18-19-00312 dated 20 April 2018].
The authors declare no conflict of interest.
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