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Basic theories for strain localization analysis of porous media with rate dependent model

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Indexed by:期刊论文

Date of Publication:2005-12-01

Journal:CHINESE SCIENCE BULLETIN

Included Journals:SCIE、Scopus

Volume:50

Issue:24

Page Number:2793-2799

ISSN No.:1001-6538

Key Words:strain localization; porous material; rate dependent plasticity; internal length scale

Abstract:This paper analyzes the interaction between two kinds of internal length scales when the rate dependent plasticity is introduced to a multiphase material model to study the dynamic strain localization phenomenon of saturated and partially saturated porous media. The stability analysis demonstrates that the enhanced porous media model preserves the well-posedness of the initial value problem for both axial and shear waves because an internal length scale parameter is introduced in the visco-plasticity model. On the other hand, the interaction between the length scale introduced by the rate dependent model and that naturally contained in the governing equations of fully and partially saturated model will take place. A basic method is presented to investigate the internal length scale of the multiphase porous media under the interaction of these two kinds of length scale parameters. Material stability analysis is carried out for a certain permeability from which the results of wave number domain with real wave speed are distinguished. A one dimensional example is given to illustrate the theoretical findings.

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