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Finite element methods for the analysis of strong discontinuities in coupled poro-plastic media

机译:耦合多孔塑性介质中强不连续性分析的有限元方法

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摘要

This paper presents the formulation of finite element methods for the numerical resolution of strong discontinuities in poro-plastic solids. Fully coupled infinitesimal conditions are considered. These solutions are characterized by a discontinuous displacement filed, with the associated singular strains, and a singular distribution of the fluid content. Here, singular distributions refer to Dirac delta functions. The singular component of the fluid content distribution Models the fluid accumulated per unit area of the discontinuity surface, and it is directly related with the dilatancy Characterizing singular inelastic strains localized along such a surface.
机译:本文提出了有限元方法的公式化方法,用于数值求解塑性多孔固体中的强不连续性。考虑完全耦合的无穷小条件。这些解决方案的特点是产生了不连续的位移,相关的奇异应变以及流体含量的奇异分布。在此,奇异分布是指狄拉克增量函数。流体含量分布的奇异分量模拟了在不连续表面的每单位面积上累积的流体,它与表征沿这种表面局部分布的奇异非弹性应变的剪胀性直接相关。

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