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Material Point Method for Numerical Simulation of Failure Phenomena in Multiphase Porous Media

In: Computational Mechanics

Author

Listed:
  • H. W. Zhang

    (Dalian University of Technology, Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment)

  • K. P. Wang

    (Dalian University of Technology, Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment)

  • Z. Zhang

    (Dalian University of Technology, Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment)

Abstract

Some recent developments for computational modeling of strain localization of multiphase porous media are reviwed. In order to avoid the deficiencies of the standard finite element method in the numerical simulation of strain localization, material point method (MPM) is developed for the dynamic analysis of multiphase porous media in the frame work of Biot’s theory. The u-U form governing equations are adopted, and two sets of material points are invoked to represent the deformation of the solid skeleton and the pore fluid flow in porous materials. Numerical examples are given to illustrate the validity of the proposed model and the efficiency in the strain localization analysis of multiphase porous materials.

Suggested Citation

  • H. W. Zhang & K. P. Wang & Z. Zhang, 2007. "Material Point Method for Numerical Simulation of Failure Phenomena in Multiphase Porous Media," Springer Books, in: Computational Mechanics, pages 36-47, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-75999-7_4
    DOI: 10.1007/978-3-540-75999-7_4
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