Abstract
This paper presents a multi-scale analysis method for thermo-elastic coupled problems of porous media based on the homogenization method, which accounts for the effects of the size of periodic microstructures or unit cells. The size effect under consideration is supposed to be caused by the amount of microscopic heat transfer that depends on the micro-scale pore size of the porous media. We first formulate the multi-scale multi-physics problem between heat diffusion and deformation of porous media based on the asymptotic homogenization method in consideration of the size of unit cells with pores on the surface of which heat is transferred. Then the macroscopic heat conduction phenomena are simulated with unit cell models of different sizes to demonstrate the promise and potential of the proposed method in comparison with the corresponding single-scale direct analyses with detailed numerical models.
