Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 25, No 1, (2015), 193p-202p
Abstract:
Functionally graded materials are extensively used in modern industry. They are composite materials with continuously varying properties in one or more spacial dimensions, according to the specific purpose. In view of their applications, stress analysis of such materials is important for their structural integrity. In this study we will consider cracked functionally graded magneto-electro-elastic materials subjected to SH waves. We assume that the material properties vary in one and the same way, described by an inhomogeneity function. The boundary value problem is reduced to a system of integro-differential equations based on the existence of fundamental solutions. Different inhomogeneity classes are used to obtain a wave equation with constant coefficients. Radon transform is applied to derive the fundamental solution in a closed form. Program code in FORTRAN 77 is developed and validated using available examples from literature. Simulations show the dependence of stress on the frequency of the applied time-harmonic load for different types of material inhomogeneity. 2010 Mathematics Subject Classification: 65M38, 65N80, 65Z05.
