Three dimensional coupled thermoelasticity solution of sandwich plate with FGM core under thermal shock

Based on the Lord-Shulman formulation, time dependent response of sandwich plate with functionally graded material (FGM) core is performed by using generalized coupled thermoelasticity. Governing partial differential thermoelasticity equations are reduced to ordinary differential equations by applying Fourier series state space technique and then are solved analytically via Laplace transform. Solutions are then converted to time domain by using inverse Laplace transform. Validation of the present approach is assessed by comparing the numerical results with the available results in literature. Finally influence of time constant, applied temperature, mid radius to thickness ratio and time history on transient thermoelastic behavior of sandwich plate are studied.