Abstract

Numerical investigation of features of statistical stress distribution and stress state heterogeneities of the composite “zirconia-based ceramics—cortical bone tissue” is presented in this paper. The finite-difference method is used for modeling the mechanical behavior of composite. Deformation and fracture processes are described using the constitutive model of the elastic-brittle material with damage accumulation and degradation of elastic moduli. Additionally, a fracture criterion based on limiting value of negative pressure in tension regions is used. The effective characteristics (mechanical properties) of the composite were determined on the basis of the data on the mechanical properties of its constituents. Values of effective stress and strain corresponding to the macroscopic fracture: σ = 155 MPa and ε = 0.56 % were found. The evolution of statistical stress distribution in the components of the composite was studied. It was shown that damage accumulation significantly affects the form of stress distribution at the final stages of deformation. Both ceramic matrix and bone tissue inclusions were found to be fractured, bone tissue being fractured under tensile pressure predominantly.

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