Numerical fracture analysis for chemo-mechanical coupling problems in multilayered porous media
Numerical fracture analysis for chemo-mechanical coupling problems in multilayered porous media
复制标题
多层多孔介质中化学-机械耦合问题的数值断裂分析
DOI：
10.1016/j.ijmecsci.2019.105412
复制
发表时间：
2020
影响因子：
7.3
通讯作者：
Shan W. K.
中科院分区：
文献类型：
--
作者：
Li D. H.;Shan W. K.
本文对多层多孔介质进行了化学-机械耦合断裂数值分析。针对具有多界面和横向裂纹的多层多孔介质，开发了一种化学机械扩展分层方法（CM-XLWM）。多重界面裂纹通过厚度方向位移假设中的强弱间断函数进行模拟，而横向裂纹则通过面内位移离散化中的扩展有限元法（XFEM）进行建模。采用混合化学机械变分原理推导了欧拉方程和离散公式。由于位移场和化学场是同时求解的，因此开发了一种完全耦合的时间积分方法。分别采用相互作用积分法和虚拟裂纹闭合技术计算应力强度因子和能量释放率。研究了几个数值示例，以证明 CM-XLWM 在多层多孔介质的静态响应分析、应力强度因子计算和能量释放率方面的能力。
The chemo-mechanical coupling fracture analysis is carried out numerically in this paper for the multilayered porous media. A chemo-mechanical extended layerwise method (CM-XLWM) is developed for the multilayered porous media with multiple interface and transverse cracks. The multiple interface cracks are simulated by the strong and weak discontinuous functions in the displacement assumptions along the thickness direction, whilst the transverse cracks are modeled by the extended finite element method (XFEM) in the in-plane displacement discretization. The mixed chemo-mechanical variational principle is employed to derive the Euler equations and the discrete formulations. Since the displacement and chemical fields are solved simultaneously, a fully coupled time integration method is developed. The interaction integral method and Virtual Crack Closure Technique are used to calculate the stress intensity factors and energy release rates, respectively. Several numerical examples are studied to demonstrate the capabilities of the CM-XLWM in static response analyses, stress intensity factor calculations and energy release rate for the multilayered porous media.