Application of meshless local integral equations for two-dimensional transient coupled hygrothermoelasticity analysis: Moisture and thermoelastic wave propagations under shock loading

This work develops the application of meshless local integral equations based on the meshless local Petrov-Galerkin (MLPG) method for two-dimensional (2D) coupled hygrothermoelasticity analysis. A unit Heaviside step function is used as the test function in the local weak forms. The analyzed domain is divided into some small subdomains with a circular shape. The radial basis functions are used for approximation of the spatial variation of field variables. For discretization of time variations, the Laplace transform technique is used. The moisture concentration diffuses through 2D domain with a finite speed similar to thermoelastic waves. The propagation of moisture diffusion, temperature, and elastic waves is obtained and discussed at various time instants. The MLPG method has a high capability to track the moisture diffusion, elastic and thermal wave fronts at every arbitrary time instant in 2D domain. The distribution profiles of moisture concentration, temperature, and displacements along two orthogonal directions are illustrated at various time instants.