Thermo-hydro-mechanical coupled responses of layered transversely isotropic saturated media under moving thermal and mechanical loads

This paper studies thermo-hydro-mechanical (T-H-M) coupled responses of layered transversely isotropic (TI) saturated media under moving thermal and mechanical loads. Firstly, governing equations including dynamic balance equations, T-H-M coupled constitutive equations, and generalized energy equations are established based on the thermodynamics and poroelastic mechanics. Next, the Fourier transform technology is utilized to transform complex coupled partial differential equations into ordinary ones in the wavenumber domain. With the help of a moving coordinate system, the key matrix equation of the moving load problem is derived. Then, combining with boundary, external load and interlayer continuity conditions, the extended precise integration method (PIM) is used to derive the solution in the wavenumber domain. After using the Gauss-Legendre numerical integration technique, the physical solution is obtained by programming on the MATLAB platform. Finally, numerical examples are designed to verify the proposed method, and further explore the influences of thermal loads, TI permeability and stratification on the T-H-M response.