Transient thermal shock behavior of the graphene-platelets reinforced annular-shape sector plates in the case of fully-clamped and simply-supported boundary conditions

Abstract

This research is the first attempt to observe the consequences of the instantaneous thermal shock on the thermo-elastodynamic response of the initially stressed graphene-reinforced nanocomposite annular-shape sector plates resting on the Kerr-type elastic substrate in the background of elasticity theory in its general form. To enable the solvability of the system’s equations for the fully-clamped boundary conditions as well as the simply-supported ones, HDQA is employed. For the first time, the effect of different models of thermal shock in the form of Heaviside, sinusoidal and cosinusoidal functions on the fluctuation of the system’s stress and deflection terms is explored. The convergence of DQA and HDQA with respect to the number of grid nodes are compared to select the solution with the optimal convergence rate, and it is found that HDQA requires a comparatively lower number of grid nodes to present stable results.

Keywords:

• Thermo-elastodynamic analysis
• annular-shaped sector plates
• harmonic differential quadrature approach
• applied various boundaries at the edges
• thermal shock resistance