Two-scale diffusion-deformation coupling model for material deterioration involving micro-crack propagation

摘要

In this paper, we introduce a two-scale diffusion-deformation coupled model that represents the aging material deterioration of two-phase materials involving micro-crack propagations. The mathematical homogenization method is applied to relate the micro - and macroscopic field variables, and a weak coupling solution method is employed to solve the two-way coupling phenomena between the diffusion of scalar fields and the deformation of quasi-brittle solids. The macroscopic mechanical behavior represented by the derived two-scale two-way coupled model reveals material nonlinearity due to micro-scale cracking induced by the scalar-field-induced deformation, which can be simulated by the finite cover method. After verifying the fundamental validity of the proposed model and the analysis method, we perform a simple numerical example to demonstrate their ability to predict aging material deterioration.