A non-Fourier magneto-thermo-viscoelastic problem of a two-dimensional plate

Abstract Viscoelastic materials is a kind of damping which has been wildly applied in vibration control ocean and civil engineering, viscoelastic mostly work complex thermoelectric multi-field coupled environment. In this work, two-dimensional plate studied with stain relaxation time time. The placed magnetic field, the upper surface subjected to thermal shock. problem investigated by modified L-S thermo-viscoelastic model stain, time, field. Normal mode analysis used achieve exact analytical expressions temperature distribution, displacement component stresses. Numerical computations are conducted for copper-like material dimensionless results illustrated graphically. Based on results, influence field distributions nondimensional temperature, stresses discussed.