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A micromechanics constitutive model for pure dilatant martensitic transformation of ZrO2-containing ceramics

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Abstract

A new micromechanics constitutive model for pure dilatant transformation plasticity of structure ceramics is proposed in this paper. Based on the thermodynamics, micromechanics and microscalet→m transformation mechanism analysis of the TZP and PSZ ZrO2-containing ceramics, an analytic expressions of the Helmholtz and complementary free energy of the constitutive element for the case of pure dilatant transformation is derived for the first time in a self-consistent manner. By the analysis of energy dissipation in the forward and reverse transformations, the micromechanics constitutive law is derived in the framework of Hill-Rice's internal variable constitutive theory.

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The project is supported by the National Natural Science Foundation of China.

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Qingping, S., Shouwen, Y. & Kehchih, H. A micromechanics constitutive model for pure dilatant martensitic transformation of ZrO2-containing ceramics. Acta Mech Sinica 6, 141–150 (1990). https://doi.org/10.1007/BF02488445

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  • DOI: https://doi.org/10.1007/BF02488445

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