A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials

  • Authors:

  • L. Moresi;F. Dufour;H.-B. Mühlhaus

  • Affiliations:

  • CSIRO Exploration and Mining, Australia Resources Research Centre, P.O. Box 1130, Bentley, Western Australia, Australia and School of Mathematical Sciences, Monash University, P.O. Box 28M, Clayto ...;CSIRO Exploration and Mining, Australia Resources Research Centre, P.O. Box 1130, Bentley, Western Australia, Australia;CSIRO Exploration and Mining, Australia Resources Research Centre, P.O. Box 1130, Bentley, Western Australia, Australia

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2003

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Abstract

We review the methods available for large deformation simulations of geomaterials before presenting a Lagrangian integration point finite element method designed specifically to tackle this problem. In our Ellipsis code, the problem domain is represented by an Eulerian mesh and an embedded set of Lagrangian integration points or particles. Unknown variables are computed at the mesh nodes and the Lagrangian particles carry history variables during the deformation process. This method is ideally suited to model fluid-like behavior of continuum solids which are frequently encountered in geological contexts. We present benchmark examples taken from the geomechanics area.