A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain
A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain
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DOI：
10.1016/j.cma.2016.02.020
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发表时间：
2016-06
影响因子：
7.2
通讯作者：
Kun Wang;WaiChing Sun
中科院分区：
文献类型：
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作者：
Kun Wang;WaiChing Sun
基于扩展的Hill-Mandel条件，建立了两相多孔介质有限应变多尺度流体力学模型。通过假设有效应力原理在晶胞尺度下成立，我们建立了一个微观到宏观的过渡，将晶粒尺度下的微观力学响应与宏观有效应力响应联系起来，同时仅在宏观连续介质水平上对流体相进行建模。我们提出了一个双尺度半隐式格式，隐式处理宏观响应，显式处理微观响应。双尺度模型具有良好的收敛速度，是稳定和鲁棒的。通过从微观模拟中推断有效应力测度和孔隙度、毕奥系数和毕奥模量等孔隙塑性参数，多尺度模型能够预测有效的孔隙弹塑性响应，而无需引入额外的唯象规律。所提出的框架的性能证明通过一组有代表性的数值例子。通过各向异性临界状态理论计算和分析了应变局部化时代表性单元体的组构张量。
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.