Academic Commons

Articles

A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain

Wang, Kun; Sun, WaiChing

Abstract:
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.

Keywords:
Multiscale poromechanics; Semi-implicit scheme; Homogenization; Discrete-continuum coupling; DEM–FEM; Anisotropic critical state

Files

  • thumnail for 1-s2.0-S0045782516300500-main__4_.pdf 1-s2.0-S0045782516300500-main__4_.pdf application/pdf 3.5 MB Download File

Also Published In

Title
Computer Methods in Applied Mechanics and Engineering
DOI
https://doi.org/10.1016/j.cma.2016.02.020

More About This Work

Academic Units
Civil Engineering and Engineering Mechanics
Published Here
November 15, 2016
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.