Further Investigation and Application of the Principle of Correspondence Between Elastic and Piezoelectric Problems

摘要

In the present work, the recently established principle of correspondence between the elastic and the piezoelectric problems for the transversely isotropic materials has been applied to obtain the solution of the problem of interaction of two tangential forces and a penny-shaped crack. The problem under consideration is described as follows: a penny-shaped crack in the unbounded piezoelectric medium is interacting with two tangential forces of the same magnitude acting in the same direction and applied arbitrarily but symmetrically with respect to the crack plane, which is a plane of isotropy. Some further investigation of the principle of correspondence is made and the important limiting conditions are stated.