Modeling of effective mechanical properties of ceramics, based on stain-gradient theory of interphase layer.

Аuthors

Soliaev J. O.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: yos@iam.ras.ru

Abstract

The paper develops a gradient continuum model of the mechanics of materials with applications to the materials with a high density of internal interfaces. Assess the effective properties of material, taking into account the internal structure and scale effects, is given. The proposed model is based on the representation intergranular phase of the medium in the form of additional phase. Also the special surface properties of grains are modeled, due to the introduction of the surface energy of deformations. The model takes into account both the presence of variable properties inside the grains, and scale effects associated with the grain size.

Keywords:

Ceramic, effective properties, the interphase layer, cohesion, adhesion, the gradient model, the law of the Hall-Petch

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