用于模拟非饱和多孔介质中动力失效与断裂的计算耦合大变形近场孔隙力学
Computational coupled large-deformation periporomechanics for dynamic failure and fracturing in variably saturated porous media
AI总结：
该研究构建了考虑被动气压的耦合大变形近场孔隙力学范式，引入混合界面材料点模拟饱和状态转变，结合更新拉格朗日-欧拉框架与隐式无网格方法，实现非饱和多孔介质动力失效与断裂的高精度数值模拟。
摘要：
静、动载荷下连续或断裂型非饱和多孔介质的大变形力学与多物理场问题在工程与科学领域具有重要意义。本文致力于构建一种假设气压为被动状态的计算耦合大变形近场孔隙力学范式，用于模拟非饱和多孔介质中的动力失效与断裂过程。通过更新拉格朗日-欧拉框架，在当前/变形构型下推导了基体与断裂材料点的耦合控制方程。研究假设混合材料点的近场域保持球形，其邻域点在当前构型下确定。作为一项重要贡献，本文明确考虑了潜水面附近的混合界面/潜水材料点，通过混合近场动力学状态概念模拟非饱和到全饱和（反之亦然）的状态转变。针对基体与界面材料点，本文在更新拉格朗日-欧拉框架下建立了耦合本构对应原理与稳定化方案。我们通过时间上的全隐式分步算法与空间上的混合更新拉格朗日-欧拉无网格方法，对耦合大变形近场孔隙力学模型进行了数值实现。文中给出了多个数值算例，验证了所实现的稳定化计算耦合大变形近场孔隙力学方法的有效性，并证明其在模拟非饱和多孔介质动力失效与断裂问题方面的效能与鲁棒性。
英文摘要：
The large-deformation mechanics and multiphysics of continuous or fracturing partially saturated porous media under static and dynamic loads are significant in engineering and science. This article is devoted to a computational coupled large-deformation periporomechanics paradigm assuming passive air pressure for modeling dynamic failure and fracturing in variably saturated porous media. The coupled governing equations for bulk and fracture material points are formulated in the current/deformed configuration through the updated Lagrangian-Eulerian framework. It is hypothesized that the horizon of a mixed material point remains spherical, and its neighbor points are determined in the current configuration. As a significant contribution, the mixed interface/phreatic material points near the phreatic line are explicitly considered for modeling the transition from partial to full saturation (vice versa) through the mixed peridynamic state concept. We have formulated the coupled constitutive correspondence principle and stabilization scheme in the updated Lagrangian-Eulerian framework for bulk and interface points. We numerically implement the coupled large deformation periporomechanics through a fully implicit fractional-step algorithm in time and a hybrid updated Lagrangian-Eulerian meshfree method in space. Numerical examples are presented to validate the implemented stabilized computational coupled large deformation periporomechanics and demonstrate its efficacy and robustness in modeling dynamic failure and fracturing in variably saturated porous media.
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