Electroelasticity equations and energy approaches to fracture

摘要

Different formulations of the electroelasticity theory are compared from the point of view of their consequences to fracture problems. In the quasielectrostatic approximation, for elastic dielectrics, the local equations of these models are equivalent, but their global forms are different as a result of different decompositions of the force of electric origin into surface and volume contributions. Three versions of global balance laws are considered, corresponding to the representation of the electric field action as surface forces, volume forces or combined surface and volume forces. The purpose of the paper is to make a choice between these models in the context of the Griffith theory of fracture.