Generalized Thermoelasticity of Two-Dimensional Bounded Media Under Moving Heat Source: A Meshless Approach

Abstract

In this work, the coupled generalized thermoelasticity of two-dimensional finite domain subjected to moving heat source is investigated. The generalized thermoelasticity is based on Lord–Shulman (LS) theory, and the moving heat source is considered to move along the [Formula: see text]-axis at the middle of the domain with constant velocity. The meshless method, because of continuous moving of approximations over the problem domain, is the best numerical method for problems with moving loads. So, for solving the governing equations, the meshless Galerkin weak form is employed. In the applied meshless method, the moving least square (MLS) shape functions are used for approximating the field variables in each influence domain. Also, for solving the final equations in the time domain, the Newmark time marching method is used. The results show that a moving source with a velocity equal to the temperature’s wave speed exhibit the maximum peak values of temperature, displacement and stress in the domain, and when the temperature wave speed and the elastic wave speed are equal, the moving heat source at this speed drastically increases the peak values of stress, displacement and temperature.