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Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain Part 1: Application to a simple geomaterial

机译:非弹性双相混合物在有限应变下的隐式动态三维有限元分析第1部分:在简单土工材料中的应用

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摘要

Based on the mixture theory formulation for a fluid-saturated, inelastic, pressure-sensitive porous solid subjected to dynamic large strain deformation, a 3D finite element implementation with implicit time integration is presented. A recently published 2D implementation [Li et al. 2004, CMAME, vl93, p3837-70] is extended to 3D, porosity-dependent permeability, and pressure-sensitive inelastic solid skeleton response at finite strain. The Clausius-Duhem inequality provides the form of the constitutive equations for the solid and fluid phases, as well as the dissipation function. A non-associative Drucker-Prager cap-plasticity model at finite strain is formulated based on a multiplicative decomposition of the deformation gradient, and numerically integrated semi-implicitly in the intermediate configuration to avoid questions of incremental objectivity. The elastic implementation is verified with available 1D analytical and 2D benchmark problems. New numerical solutions for 3D large strain dynamic behavior of saturated inelastic porous media are presented. The computational efficiency of the implemented formulation in achieving quadratic convergence is illustrated.
机译:基于动态大应变变形的流体饱和,非弹性,压敏多孔固体的混合理论公式,提出了具有隐式时间积分的3D有限元实现。最近发布的2D实现[Li等。 2004,CMAME,v93,p3837-70]扩展到3D,孔隙率相关的渗透性和有限应变下的压敏非弹性固体骨架响应。 Clausius-Duhem不等式提供了固相和流体本构方程的形式以及耗散函数。基于变形梯度的乘法分解,建立了有限应变的非缔合Drucker-Prager帽塑性模型,并在中间构型中进行了半隐式数值积分,以避免出现增量客观性的问题。可用1D分析和2D基准问题验证了弹性实现。提出了饱和非弹性多孔介质3D大应变动态行为的新数值解。说明了实现的公式实现二次收敛的计算效率。

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