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A virtual work derivation of the Biot consolidation finite element formulation

D. Ding (Department of Civil Engineering. University of Wales, Swansea SA2 8PP, UK)
D.J. Naylor (Department of Civil Engineering. University of Wales, Swansea SA2 8PP, UK)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 February 1989

109

Abstract

A derivation for the finite element equations of consolidation by the principle of virtual work and virtual complementary work is presented. This provides a simple alternative to derivation by variational principles or the Laplace transform. In the final part of the paper the equations are rearranged into a form suitable for time stepping for non‐linear applications.

Citation

Ding, D. and Naylor, D.J. (1989), "A virtual work derivation of the Biot consolidation finite element formulation", Engineering Computations, Vol. 6 No. 2, pp. 158-162. https://doi.org/10.1108/eb023770

Publisher

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MCB UP Ltd

Copyright © 1989, MCB UP Limited

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