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A computer algebra based finite element development environment

Yew, C.K. and Boyle, J.T. and Mackenzie, D. (2001) A computer algebra based finite element development environment. Advances in Engineering Software, 32 (12). pp. 913-925. ISSN 0965-9978

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Abstract

A finite element development environment based on the technical computing program Mathematica is described. The environment is used to automatically program standard element formulations and develop new elements with novel features. Source code can also be exported in a format compatible with commercial finite element program user-element facilities. The development environment is demonstrated for three mixed Petrov-Galerkin plane stress elements: a standard formulation, an advanced formulation incorporating rotational degrees of freedom and a standard formulation in which the stiffness matrix is integrated analytically, before being exported as ANSYS user elements. The results presented illustrate the accuracy of the standard mixed formulation element and the enhancement of performance when rotational degrees of freedom are added. Further, the analytically integrated element shows that computational requirements can be greatly reduced when analytical integration schemes are used in the formation.

Item type: Article
ID code: 5054
Keywords: computer algebra, finite element method, Petrov-Galerkin plane stress elements, Mechanical engineering and machinery, Mathematics
Subjects: Technology > Mechanical engineering and machinery
Science > Mathematics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 05 Jan 2008
    Last modified: 30 May 2013 15:20
    URI: http://strathprints.strath.ac.uk/id/eprint/5054

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