A new incremental variational micro-mechanical model for porous rocks with a pressure-dependent and compression–tension asymmetric plastic solid matrix

In this paper, we shall formulate a new micro-mechanical model for describing both local and macroscopic elastic–plastic behavior of porous rocks with pressure-sensitive tension–compression asymmetric solid matrix. For purpose, incremental variational mean field homogenization (IVMFH) method is first established. The novelty lies in the fact that formulation allows considering matrix obeying nonlinear plastic yield criterion rather than linear Drucker–Prager one adopted previous work Zhao et al. (2019). To end, optimization procedure proposed to estimate effective potential involving stress-dependent relation between volumetric deviatoric parts strain takes into account effect non-uniform distribution stress fields by incorporating their second moments process. able provide not only but also mechanical responses rocks. Its efficiency assessed series comparisons full-field finite element calculations. Application examples are presented through experimental data two typical rocks: Vosges sandstone Lixhe chalk.