Strain localization problems in geomaterials using finite elements
  Revised:March 14, 2005
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DOI:10.7511/jslx20074091
KeyWord:strain localization,finite elements,adaptive remeshing,homogenization procedure,weak discontinuty approach
HUANG Mao-song  JIA Cang-qin  QIAN Jian-gu
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Abstract:
      Significant difficulties in finite element simulations of strain localization problems are associated primarily with the issues of mesh-size and mesh alignment dependencies.Adaptive remeshing technique proposed by Zienkiewicz and the first author has been considered as one of effective approaches for circumventing the problem of mesh alignment dependence.The computational results obtained by adaptive remeshing are still often sensitive to mesh size,although such techniques can be proved to be effective in the one-dimensional cases.Homogenization procedure introduced by Pietruszczak and the first author and weak discontinuity approach have shown their capabilities to overcome the difficulty arising from the mesh-size dependence.It must be pointed out here that those two methods are essentially identical at least in one-dimensional problems.In this paper,detailed discussions on the aforementioned approaches used in the finite element modeling for localized deformation in geomaterials are given.Several two-dimensional applications are shown finally.