TIME-HARMONIC PROBLEMS FOR CRACKED FUNCTIONALLY GRADED MAGNETO-ELECTRO-ELASTIC COMPOSITES
- 1 Technical University, Sofia, Bulgaria
In this study we consider functionally graded magneto-electro-elastic materials (MEEM) subjected to anti-plane time-harmonic load. The purpose is to evaluate the dependence of the stress concentration near the crack tips on the frequency of the applied external load.
The mathematical model is described by a boundary value problem for a system of partial differential equations. Due to the existence of fundamental solutions the boundary value problem is reduced to a system of integro-differential equations along the crack. The fundamental solutions are derived in a closed form by the Radon transform. For the numerical solution software code in FORTRAN 77 is created and validated. Simulations show the dependence of the stress intensity factors (SIF) on frequency of the incident wave for different types of load, configurations of cracks and different parameters of inhomogeneity.