Screw dislocation in functionally graded magnetoelectroelastic solids

Abstract

A screw dislocation in a functionally graded magnetoelectroelastic material is investigated. The material properties exponentially changing along both x and y directions are considered and the mechanical–electric–magnetic coupling is discussed. Closed-form expressions for the mechanical, electric and magnetic components are derived using the general stress function method. The solutions can be applied as a fundamental result and reduced into the classic and piezoelectric cases. The study puts forth a direct way for screw dislocation analysis in inhomogeneous structures with multifield coupling.

Keywords:

• dislocation mechanics
• fracture mechanics
• mechanics of materials
• mechano-electromagnetic property

Acknowledgements

This work is supported by the Alexander von Humboldt Foundation of Germany.