Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 304, Issue -, Pages 546-583Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.02.020
Keywords
Multiscale poromechanics; Semi-implicit scheme; Homogenization; Discrete-continuum coupling; DEM-FEM; Anisotropic critical state
Funding
- Earth Materials and Processes program at the US Army Research Office [W911NF-14-1-0658, W911NF-15-1-0581]
- Mechanics of Material and Structures program at National Science Foundation [CMMI-1462760]
- Provost's Grants Program for Junior Faculty Diversity Grant at Columbia University
- Directorate For Geosciences
- Division Of Earth Sciences [1516300] Funding Source: National Science Foundation
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [1462760] Funding Source: National Science Foundation
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A finite strain multiscale hydro-mechanical model is established via an extended Hill-Mandel condition for two-phase porous media. By assuming that the effective stress principle holds at unit cell scale, we established a micro-to-macro transition that links the micromechanical responses at grain scale to the macroscopic effective stress responses, while modeling the fluid phase only at the macroscopic continuum level. We propose a dual-scale semi-implicit scheme, which treats macroscopic responses implicitly and microscopic responses explicitly. The dual-scale model is shown to have good convergence rate, and is stable and robust. By inferring effective stress measure and poro-plasticity parameters, such as porosity, Biot's coefficient and Biot's modulus from micro-scale simulations, the multiscale model is able to predict effective poro-elasto-plastic responses without introducing additional phenomenological laws. The performance of the proposed framework is demonstrated via a collection of representative numerical examples. Fabric tensors of the representative elementary volumes are computed and analyzed via the anisotropic critical state theory when strain localization occurs. (C) 2016 Elsevier B.V. All rights reserved.
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