Integral equations of plane magnetic electroelasticity for bimaterial with cracks and thin inclusions (Q2808444)

The authors propose to apply the Stroh formalism in combination with complex variable theory to derive dual integral equations for a magnetic electroelastic bimaterial. For the first time, integral representations of the Stroh complex potentials and explicit expressions for all kernels are obtained by using only the parameters and matrices of the formalism. The obtained equations together with earlier models of thin deformable inclusions are introduced into a computational algorithm of the boundary element method of jump functions. Test problem calculations show high accuracy and efficiency of the proposed approach. Also, solutions are obtained for new problems in the case of the magnetic electroelastic bimaterial with thin inclusion.