# A finite volume approach to geometrically non-linear stress analysis

Slone, Avril, Fallah, Nosrat, Bailey, Christopher and Cross, Mark
(2002)
*A finite volume approach to geometrically non-linear stress analysis.*
In: Finite volumes for complex applications III: problems and perspectives.
Hermes Penton Science, London, UK, pp. 663-670.
ISBN 9781903996348

## Abstract

In this past decade finite volume (FV) methods have increasingly been used for the solution of solid mechanics problems. This contribution describes a cell vertex finite volume discretisation approach to the solution of geometrically nonlinear (GNL) problems. These problems, which may well have linear material properties, are subject to large deformation. This requires a distinct formulation, which is described in this paper together with the solution strategy for GNL problem. The competitive performance for this procedure against the conventional finite element (FE) formulation is illustrated for a three dimensional axially loaded column.

Item Type: | Conference Proceedings |
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Title of Proceedings: | Finite volumes for complex applications III: problems and perspectives |

Additional Information: | [1] This paper was first presented at the Third International Symposium on Finite Volumes for Complex Applications held from 24-28 June 2002 in Porquerolles, France. [2] ISBN: 9781903996348; 1903996341 |

Uncontrolled Keywords: | finite volume, stress analysis, non-linear, Lagrangian, Eulerian, Newton Raphson |

Subjects: | Q Science > QA Mathematics > QA76 Computer software T Technology > TJ Mechanical engineering and machinery |

Pre-2014 Departments: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:01 |

URI: | http://gala.gre.ac.uk/id/eprint/612 |

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