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Acknowledgements This work was financially supported by the National Natural Science Foundation (11202112) References [1] SH.Q.Yan, in: TIMOSHENKO Mechanics of materials, edited by Science publishing, Beijing NY (1979), in press (In Chinese) [2] James N.
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Mechanisms of orthogonal cutting and resulting chip formation are discussed in terms of composite materials, tool geometry and cutting forces [5].
The mechanical and thermal properties of both materials are described in Table 1.
Results and discussion � Figure 1 shows the evolution of the shear plane angle (Φ) as function of the chip compression rate (Rc) for both materials.
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Methods and Materials The starting powder was as-received commercial available 3 mol% yttria-zirconium oxide having average particle sizes of 20-30nm (Kyoritsu Ltd., Japan).
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Before the melting started, all the materials should be dried at 200℃ for 1-2 hours.
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Most of phases were dissolved in alloys, atoms of additive elements diffused into the entire matrix and materials were homogenized.
The internal friction measurements were carried out using an apparatus used at Department of Materials Engineering, University of Žilina.
· The value of εcr appeared for all materials, where for alloys AZ31 and AZ91, εcr was at each measurement with a different final excitation voltage.
Chalupová, Effect of structure and cyclic loading on the internal damping capacity, Materials Science Forum 891, (2017) 377-382
Brokmeier, Internal friction and microplastic deformation behavior of pure magnesium processed by equal channel angular pressing, Materials Science and Engineering: A 561, (2013) 100-108

CIRP Journal of Manufacturing Science and Technology, 2008. 1(2): p. 92-96
Journal of materials processing technology, 2003. 139(1-3): p. 315-321
Procedia materials science, 2014. 6: p. 741-751
Materials and Manufacturing Processes, 2017. 32(3): p. 274-285
International Journal of Materials, Mechanics and Manufacturing, 2015. 3(1): p. 40-43

Materials' Properties Ceramic half-space is assumed as elastic materials, functionally gradient layer and metal half-space is assumed to behave as viscoplastic.
Table1: The properties of matrix and ceramic [5] Material Elastic mudulus(GPa) Possion ratio Density (kg/m3) 0ε& (s-1) m Matrix 70GPa 0.3 2800 1.4655×105 0.0445 Ceramic 420GPa 0.17 3200 - - The viscoplastic behavior of composite materials is estimated by Li and Ramesh [5, 13] with the properties of pure ceramic and pure metal.
Liu: Journal of Sound and Vibration Vol. 251 (2002), p. 783
[11] Li Ma, Lin-Zhi Wu and Zhen-Gong Zhou: International Journal of Engineering Science Vol. 42 (2004), p.187
Kouzeli: Materials Science and Engineering A Vol.337 (2002), p.202.