In this article we formulate a stable computational nonlocal poromechanics model for dynamic analysis of saturated porous media. As a novelty, the stabilization formulation eliminates zero-energy modes associated with the original multiphase correspondence constitutive models in the coupled nonlocal poromechanics model. The two-phase stabilization scheme is formulated based on an energy method that incorporates inhomogeneous solid deformation and fluid flow. In this method, the nonlocal formulations of skeleton strain energy and fluid flow dissipation energy equate to their local formulations. The stable coupled nonlocal poromechanics model is solved for dynamic analysis by an implicit time integration scheme. As a new contribution, we validate the coupled stabilization formulation by comparing numerical results with analytical and finite element solutions for one-dimensional and two-dimensional dynamic problems in saturated porous media. Numerical examples of dynamic strain localization in saturated porous media are presented to demonstrate the efficacy of the stable coupled poromechanics framework for localized failure under dynamic loads.

中文翻译：

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用于饱和多孔介质动态分析的稳定计算非局部多孔力学模型

在本文中，我们为饱和多孔介质的动态分析制定了一个稳定的计算非局部多孔力学模型。作为一个新颖之处，稳定公式消除了与耦合非局部多孔力学模型中原始多相对应本构模型相关的零能量模式。两相稳定方案是基于能量方法制定的，该方法结合了非均匀固体变形和流体流动。在这种方法中，骨架应变能和流体流动耗散能的非局部公式等同于它们的局部公式。通过隐式时间积分方案求解用于动态分析的稳定耦合非局部多孔力学模型。作为新的贡献，我们通过将数值结果与饱和多孔介质中一维和二维动态问题的解析解和有限元解进行比较来验证耦合稳定公式。给出了饱和多孔介质中动态应变局部化的数值例子，以证明稳定耦合多孔力学框架在动态载荷下局部失效的有效性。