NUMERICAL MODELING OF TRANSIENT MAGNETO-THERMO-VISCOELASTIC WAVES IN A ROTATING NONHOMOGENEOUS ANISOTROPIC SOLID UNDER INITIAL STRESS

Abstract

A numerical model based on the dual-reciprocity boundary element method (DRBEM) for studying the transient magneto-thermo-viscoelastic waves in a rotating nonhomogeneous anisotropic solid is presented. The formulation is tested through its application to the problem of an initially stressed solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about this axis with a constant angular velocity. In the case of plane deformation, a numerical scheme for the implementation of the method is presented and the numerical computations are carried out for the temperature, displacement components and thermal stress components. The validity of DRBEM is examined by considering a magneto-thermo-viscoelastic solid occupies a rectangular region and good agreement is obtained with existent results. The results obtained are presented graphically to show the influence of initial stress on the displacement components and thermal stress components.