Explicit eight-noded quadrilateral elements
| Autor: | K. E. Barrett |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Quadrilateral
Applied Mathematics Numerical analysis General Engineering Stiffness Computer Graphics and Computer-Aided Design Finite element method Algebra symbols.namesake Quartic function Jacobian matrix and determinant medicine symbols Applied mathematics medicine.symptom Analysis Stiffness matrix Mathematics Plane stress |
| Zdroj: | Finite Elements in Analysis and Design. 31:209-222 |
| ISSN: | 0168-874X |
| DOI: | 10.1016/s0168-874x(98)00067-5 |
| Popis: | Conditions under which it is possible to determine exact integrals for stiffness matrix entries for an eight-noded isoparametric plane strain element are investigated. Considerable use has been made of the algebraic manipulation language MAPLE in obtaining the results. For the eight-noded quadrilateral the determinant of the Jacobian is a complete cubic plus a single quartic term. Exact integration of the stiffness matrices can be performed when the determinant of the Jacobian becomes a single linear factor or a product of linear factors. Such decompositions can be related to the geometry of the element in some cases. If accurate stiffness entries are to be found, 3×3 rather than 2×2 Gauss integration rules should be used. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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