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

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Chinese Science Bulletin

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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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis and Industrial Equipment, Dalian University of Technology, 116024, Dalian, China

    Hongwu Zhang & Jianmin Qin

Authors
  1. Hongwu Zhang
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  2. Jianmin Qin
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Zhang, H., Qin, J. Basic theories for strain localization analysis of porous media with rate dependent model. Chin.Sci.Bull. 50, 2793–2799 (2005). https://doi.org/10.1360/982005-624

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  • DOI: https://doi.org/10.1360/982005-624

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