Simulation of Incompressible Problems in Geomechanics

  • Dieter Stolle
  • Issam Jassim
  • Pieter Vermeer
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 1)

Abstract

This article presents techniques for solving problems involving incompressibility in the context of low-order linear elements. It begins with describing a weak formulation that applies to both finite element and material point methods. Iterative solution schemes, including relaxation and explicit time stepping, are summarized. A strain enhancement procedure that is useful when incompressibility is introduced through plasticity is presented next, followed by a slope stability example that compares the iteration characteristics and vertical crest displacement corresponding to explicit and implicit matrix-free algorithms. Two procedures for dealing with pore pressure generation related to incompressibility and undrained conditions are described and an example is presented to compare pore pressures.

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Copyright information

© Springer Berlin Heidelberg 2010

Authors and Affiliations

  • Dieter Stolle
    • 1
  • Issam Jassim
    • 2
  • Pieter Vermeer
    • 2
  1. 1.Department of Civil EngineeringMcMaster UniversityHamiltonCanada
  2. 2.Institute of Geotechnical EngineeringStuttgart UniversityStuttgartGermany

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