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Symbolic computation of stiffness matrices for quadratic triangular elements

✍ Scribed by Barrett, K. E.

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
217 KB
Volume
15
Category
Article
ISSN
1069-8299

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✦ Synopsis

Conditions under which it is possible to determine exact integrals for stiness matrix entries for a 6-noded isoparametric plane strain element have been investigated. Considerable use has been made of the algebraic manipulation language MAPLE in obtaining the results. It has been shown that exact integration can be performed when the Jacobian becomes a degenerate quadratic and in some other cases. A precise algebraic condition has been found for the degenerate case and related to the geometry of the element.

πŸ“œ SIMILAR VOLUMES

Exact integration of the stiffness matri
Exact integration of the stiffness matrix of an 8-node plane elastic finite element by symbolic computation
✍ L. Videla; T. Baloa; D.V. Griffiths; M. Cerrolaza πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 378 KB

## Abstract Computer algebra systems (CAS) are powerful tools for obtaining analytical expressions for many engineering applications in both academic and industrial environments. CAS have been used in this paper to generate exact expressions for the stiffness matrix of an 8‐node plane elastic finit