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Semi-analytical integration of the elastic stiffness matrix of an axisymmetric eight-noded finite element

✍ Scribed by I.J. Lozada; D.V. Griffiths; M. Cerrolaza

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 104 KB
Volume: 26
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.20512

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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

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## 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