A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics

A vertex‐based finite volume (FV) method is presented for the computational solution of quasi‐static solid mechanics problems involving material non‐linearity and infinitesimal strains. The problems are analysed numerically with fully unstructured meshes that consist of a variety of two‐ and three‐d...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 56; no. 4; pp. 507 - 529
Main Authors: Taylor, G. A., Bailey, C., Cross, M.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 28.01.2003
Subjects:
Computation
Computational efficiency
computational solid mechanics
Finite element method
finite volume
Galerkin methods
Mathematical models
Nonlinearity
Solid mechanics
Three dimensional
vertex-based
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:A vertex‐based finite volume (FV) method is presented for the computational solution of quasi‐static solid mechanics problems involving material non‐linearity and infinitesimal strains. The problems are analysed numerically with fully unstructured meshes that consist of a variety of two‐ and three‐dimensional element types. A detailed comparison between the vertex‐based FV and the standard Galerkin FE methods is provided with regard to discretization, solution accuracy and computational efficiency. For some problem classes a direct equivalence of the two methods is demonstrated, both theoretically and numerically. However, for other problems some interesting advantages and disadvantages of the FV formulation over the Galerkin FE method are highlighted. Copyright © 2002 John Wiley & Sons, Ltd.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.574