Thermodynamically consistent multiscale homogenization for thermo-poroplastic materials

Abstract

In this work, a general thermodynamically consistent theory is proposed for multiscale homogenization procedures of saturated and dissipative porous media involving multiphysical complexities. The proposal allows the formulation of coupled constitutive behavior, including thermo-, hydro- and/or mechanical interaction. The homogenization scheme gives rise to macroscopic material equations characterized by a free energy density fully consistent with the microscopic one. Firstly, the thermodynamically consistent multiscale approach is applied to the general case of thermo-poroplastic materials. Then, the formulation is particularized and thoroughly resolved for the case of thermo-poroelastic materials. It is shown that the resulting macroscopic entropy and entropy vector have additional terms to those obtained in previous works based on different homogenization strategies. Finally, a numerical analysis dealing with multiscale analysis of the temperature-dependent tensile behavior of concrete is presented, whereby the proposed scheme is utilized for the multiscale homogenization process. The results demonstrate the soundness of the proposed multiscale homogenization scheme, and in fact shows good agreement with experimental results in the literature regarding the temperature effect on concrete.