The Crack Tip Fields for Anti-plane Crack in Functionally Graded Magnetoelectroelastic Materials

Abstract

The problem of a anti-plane crack in functionally graded magnetoelectroelastic materials is investigated. The material properties of the functionally graded magnetoelectroelastic materials are assumed to be exponential function of y perpendicular to the crack. To make the analysis tractable, the crack surface condition is assumed to be electrically and magnetically impermeable. The high order crack tip fields are obtained by the method of eigen-expansion method. This study has fundamental significance as Williams' solution.