Connection between static electromagnetoelasticity and anisotropic elasticity and its applications

Abstract

Connection between electromagnetoelasticity and anisotropic elasticity is explored in the state space setting. In the absence of electric charges and currents, the basic equations of static electromagnetoelasticity are formulated into a state equation and an output equation, which bear a remarkable resemblance to the corresponding equations of elasticity. Accordingly, the solutions for various steady-state problems of electromagnetoelasticity can be determined in parallel to their elastic counterparts. For illustration, the generalized plane problems are treated within the context. Exact solutions for the electromagnetoelastic fields in a half-space subjected to line loads and in an infinite plate with an elliptic notch under extension are determined in a simple way.