# Dynamic solid mechanics using finite volume methods

Slone, A.K., Bailey, C. and Cross, M.
(2002)
*Dynamic solid mechanics using finite volume methods.*
Applied Mathematical Modelling, 27 (2).
pp. 69-87.
ISSN 0307-904X
(doi:10.1016/S0307-904X(02)00060-4)

## Abstract

A procedure for evaluating the dynamic structural response of elastic solid domains is presented. A prerequisite for the analysis of dynamic fluid–structure interaction is the use of a consistent set of finite volume (FV) methods on a single unstructured mesh. This paper describes a three-dimensional (3D) FV, vertex-based method for dynamic solid mechanics. A novel Newmark predictor–corrector implicit scheme was developed to provide time accurate solutions and the scheme was evaluated on a 3D cantilever problem. By employing a small amount of viscous damping, very accurate predictions of the fundamental natural frequency were obtained with respect to both the amplitude and period of oscillation. This scheme has been implemented into the multi-physics modelling software framework, PHYSICA, for later application to full dynamic fluid structure interaction.

Item Type: | Article |
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Additional Information: | [1] Accepted: 20 November 2001. [2] First published online: 7 December 2002. [3] Published in print: February 2003. |

Uncontrolled Keywords: | dynamic solid mechanics, finite volume methods |

Subjects: | Q Science > QA Mathematics |

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/616 |

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