Abstract
A nonclassical model is developed to describe the deformation of nanostructured ceramics. The model takes into account the scale effects and can be used to determine the effective elastic moduli of such ceramics with allowance for the grain size, the damage level (porosity), and the adhesion parameters characterizing the intergrain contact quality. This model is based on a particular version of the gradient theory of defective media, in which the free strain tensor is determined by the free volume change strains and the continuum model of adhesion interactions is consistent with a chosen kinematic model. The effective characteristics of ceramics are determined with the gradient cohesion-adhesion model using the modified three-phase Eshelby method. Examples of simulating the effective elastic moduli are given, and they demonstrate the efficiency of the model and its adequacy to the well-known experimental data.
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