1. EXPLICIT INTEGRATION OF THE STIFFNESS MATRIX OF A FOUR-NODED-PLANE-ELASTICITY FINITE ELEMENT.
- Author
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Videla, L., Cerrolaza, M., and Aparicio, N.
- Subjects
- *
FINITE element method , *ELASTICITY , *MATRICES (Mathematics) , *ENGINEERING , *NUMERICAL integration - Abstract
The paper deals with the symbolic integration of a 4-noded isoparametric finite element for plane elasticity. An efficient approach to generate explicit formulas for computing the elementary stiffness matrix is discussed. The procedure is based on the use of the Derive symbolic manipulation code as well as in a posteriori manipulation of the expressions obtained. The accuracy of the results is tested in extremely distorted and geometrically ill-conditioned elements. Three practical engineering models are presented and the accuracy of the results is discussed. A computer time comparison between both numerical and symbolic integration approaches is also included, showing that relevant CPU savings are obtained when applying symbolic integration. [ABSTRACT FROM AUTHOR]
- Published
- 1996
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