Magneto-electro viscoelastic layer in functionally graded materials

摘要

This paper deals with the problem of generalized magneto-thermoelasticity interactions in a functionally graded viscoelastic layer (Kelvin-Voigt type) due to the presence of thermal shock in the context of the linear theory of generalized thermoelasticity without energy dissipation (GN Model Type II). The partial differential equations governing stress, strain, displacement, temperature, induced electric field and induced magnetic field, functions are derived for one-dimensional layer problem of isotropic functionally graded magneto-electro-viscoelastic materials (FGMs). These equations are expressed in Laplace transform domain. The analytical solution in the transform domain is obtained by using a direct approach. The inversion of Laplace transform is done numerically. The numerical estimate of the temperature, displacement, strain, stress, induced electric field and induced magnetic field are obtained for a hypothetical material. The solution to the analogous problem for homogeneous isotropic material is obtained by taking non-homogeneity parameter suitably. Finally the results obtained are presented graphically to show the effect of non-homogeneity on the considered functions.