This article concerns modeling unsaturated deformable porous media as an equivalent single-phase and single-force state peridynamic material through the effective force state. The balance equations of linear momentum and mass of unsaturated porous media are presented by defining relevant peridynamic states. The energy balance of unsaturated porous media is utilized to derive the effective force state for the solid skeleton that is an energy conjugate to the nonlocal deformation state of the solid, and the suction force state. Through an energy equivalence, a multiphase constitutive correspondence principle is built between classical unsaturated poromechanics and peridynamic unsaturated poromechanics. The multiphase correspondence principle provides a means to incorporate advanced constitutive models in classical unsaturated porous theory directly into unsaturated peridynamic poromechanics. Numerical simulations of localized failure in unsaturated porous media under different matric suctions are presented to demonstrate the feasibility of modeling the mechanical behavior of such three-phase materials as an equivalent single-phase peridynamic material through the effective force state concept.

本文涉及通过有效力状态将不饱和可变形多孔介质建模为等效的单相单力状态蠕动材料。通过定义相关的周边动力学状态，给出了线性动量与质量的平衡方程。利用不饱和多孔介质的能量平衡来导出固体骨架的有效力状态，该有效力状态是与固体的非局部变形状态以及吸力状态共轭的能量。通过能量等效，建立了经典不饱和磁流体力学与绕动不饱和磁流体力学之间的多相本构对应原理。多相对应原理提供了一种将经典的不饱和多孔理论中的高级本构模型直接纳入不饱和围岩动力力学的方法。提出了在不同基质吸力下非饱和多孔介质局部破坏的数值模拟，以证明通过有效力状态概念对诸如等效单相蠕动材料之类的三相材料的力学行为进行建模的可行性。