Implicit-explicit schemes for nonlinear consolidation

Jean H. Prevost

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

A general analytical procedure capable of performing linear and nonlinear consolidation analysis of saturated porous media is proposed. A brief review of the coupled field equations is included and the constitutive assumptions are stated explicitly. Time integration of the resulting nonlinear semidiscrete finite element equations is performed by using an implicit/explicit predictor/multicorrector scheme developed by Hughes and co-workers. It is shown that the algorithm can be simply and concisely implemented. The technique allows for a convenient selection of implicit and explicit elements, and for a convenient implicit-explicit split of the various operators appearing in the equations. The procedure proves to be extremely effective in dealing with consolidation problems. Numerical results which demonstrate the versatility and accuracy of the proposed procedures are presented.

Original languageEnglish (US)
Pages (from-to)225-239
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume39
Issue number2
DOIs
StatePublished - Aug 1983

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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