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Some theoretical aspects of strain localization analysis of multiphase porous media with regularized constitutive models

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Indexed by:期刊论文

Date of Publication:2007-02-01

Journal:MECHANICS OF ADVANCED MATERIALS AND STRUCTURES

Included Journals:SCIE、EI

Volume:14

Issue:2

Page Number:107-130

ISSN No.:1537-6494

Key Words:multiphase porous medium; strain localization; internal length scale; gradient dependent model; rate dependent model

Abstract:This paper discusses some theoretical aspects of strain localization analysis in multiphase porous media, particularly when regularized constitutive models such as the gradient-dependent and rate-dependent models are used. Stability and hyperbolicity of the governing equations are studied and the relations between permeability and the wave number where a real wave speed exists are investigated numerically. Particular attention is focused on the two cases of wave number K = 0 and K -> infinity of the perturbation waves. The interaction between the different internal length scale parameters during dynamic strain localization in multiphase porous materials is also studied. It is pointed out that the consideration of fluid interaction is necessary for the prediction of the internal length in a multiphase porous medium when regularization through a constitutive model is introduced in the numerical model to overcome mesh dependence in a finite element solution.

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