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

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• 作者：Kun Wang ; WaiChing Sun ; ^{wsun@columbia.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Multiscale poromechanics ; Semi-implicit scheme ; Homogenization ; Discrete-continuum coupling ; DEM&ndash ; FEM ; Anisotropic critical state
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2016
• 出版时间：1 June 2016
• 年：2016
• 卷：304
• 期：Complete
• 页码：546-583
• 全文大小：3579 K

文摘

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.