MATERIAL MULTIPOLE MECHANICS OF ELASTIC DIELECTRIC COMPOSITES

Abstract

Abstract: The overall mechanical and electrical behaviors of elastic dielectric composites are investigated with the aid of the concept of material multipoles. In particular, by introducing a statistical continuum material multipole theory, the effects of the electric-elastic interaction and the microstructure (size, shape, orientation,...) of inhomogeneous particles on the overall behaviors of the composites can be obtained. A basic solution for an ellipsoidal elastic inhomogeneity with electric polarization in an infinite elastic dielectric medium is first given, which shows that classical Eshelby ’s elastic solution is modified by the presence of electric-elastic interaction. The overall macroscopic constitutive relations and their overall macroscopic material parameters accounting for electroelastic interaction effect are then derived for the elastic dielectric composites. Some quantitative calculations on the problems with statistical anisotropy, the shape effect and the electric-elastic interaction are finally given for dilute composites.

Key words: fault earthquake, fold catastrophe model, end point of failure, failure criterion, energy import rate, elastic energy releasing amount

Zhou Shu-ang. MATERIAL MULTIPOLE MECHANICS OF ELASTIC DIELECTRIC COMPOSITES. Applied Mathematics and Mechanics (English Edition), 1990, 11(3): 215-237.

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