Coupled thermoelasticity analysis of carbon nano tube reinforced composite rectangular plate subjected to thermal shock

In the frame work of Lord-Shulman theory, transient response of a simply supported carbon nanotube reinforced composite (CNTRC) rectangular plate with different pattern of CNT distribution and under thermal shock is studied using generalized coupled thermoelasticity. Applying Fourier series expansion along the in-plane direction and state space technique along the thickness direction to the constitutive equations and governing differential equations of motion results in first state space differential equations which can be solved analytically in Laplace transform. Then response is obtained in time domain using inverse Laplace transform. Moreover, parametric study is conducted to assess the effect of pattern of CNT distribution, CNT volume fraction and pick of thermal shock on transient thermoelastic behavior of FG-CNTRC rectangular plate are examined.