Modeling of a hysteretic deformation response in polycrystalline ferroelastics

Abstract

You In the absence of an electric field a mathematical model describing the ferroelastic response of complete ferroelectrics ferroelastics on action of mechanical stresses is proposed. The modeling is based on the concept of a “ferroelastic” element, similar to the theory of plasticity where used the Saint-Venant element of “dry friction”. The constitutive relations for elastic and residual strains are constructed. The dependence of elastic compliance on the main values of the tensor of residual strains is established. For residual strains, the constitutive relations are obtained in differentials. The obtained constitutive equations can be used in finite element analysis of irreversible processes of deformation of polycrystalline ferroelastics. A number of numerical experiments were performed, which showed good agreement with the experimental data.