Time-dependent analysis of 3D thermo-mechanical behavior of a layered half-space with anisotropic thermal diffusivity

Abstract

A coupled analytical layer-element solution is presented to study the three-dimensional thermomechanical behavior of layered material with anisotropic thermal diffusivity in Cartesian coordinates. From the governing equations of three-dimensional thermo-elastic material, the coupled analytical layer elements expressing the relation between generalized displacements and stresses of a single finite layer and the underlying half-space are derived by the Laplace transform and the double Fourier transform. Considering the continuity conditions between adjacent layers and the boundary conditions, the global stiffness matrix of the multilayered half-space is assembled and solved in transformed domain. The real solutions in the physical domain are obtained by applying numerical quadrature schemes for the Laplace-Fourier transform inverse. Finally, numerical computations are carried out to investigate the time-dependent thermo-mechanical response of the material system.

Coupling dynamic response of saturated soil with anisotropic thermal conductivity under fractional order thermoelastic theory

“…Ai et al [ 50 ] derived the 3D thermoelastic problem of layered media around a heat source and obtained its general solution. Ai and Wang [ 51 ] studied the three-dimensional thermodynamic behavior of layered materials with anisotropic thermal diffusivity in the Cartesian coordinate system. They then obtained the time-dependent thermal and mechanical responses of the material system.…”

Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source

“…The analytical solutions in the form of displacements and stresses in multi-layered thermoelastic media due to varying temperature and concentrated loads were determined by Ghosh and Kanoria [20]. A number of problems related to the analysis of heat sources in multilayered thermoelastic media have been studied by Kolyano et al [21], Jane and Lee [22], Lee et al [23] , Lee [24], Ai et al [25], Ai and Wang [26], Ai et al [27], Wang and Ai [28] etc. Hou et al [29] derived two dimensional general and fundamental solutions for a line heat source acting on the surface of a semi-infinite orthotropic thermoelastic medium.…”

Coupled consolidation and heat flow analysis of layered soils surrounding cylindrical heat sources using a precise integration technique

“…In recent years, an increasing amount of researchers has paid close attention to the thermoelastic performance of soils induced by heat sources . Following that, solutions for coupled consolidation and heat flow responses, accounting for the fact that the natural soils are always in porous and saturated states, have also been widely pursued.…”

“…6,[10][11][12] In recent years, an increasing amount of researchers has paid close attention to the thermoelastic performance of soils induced by heat sources. [13][14][15][16][17][18][19][20] Following that, solutions for coupled consolidation and heat flow responses, accounting for the fact that the natural soils are always in porous and saturated states, have also been widely pursued. Booker and Savvidou 21 derived an analytical solution for thermo-hydro-mechanical coupling (THM) problems of saturated soils around a point heat source.…”