IMPROVED ENHANCED STRAIN FOUR-NODE ELEMENT WITH TAYLOR EXPANSION OF THE SHAPE FUNCTIONS
✍ Scribed by JOŽE KORELC; PETER WRIGGERS
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 406 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
A class of enhanced strain four-node elements with Taylor expansion of the shape function derivatives is presented. A new concept of enhancement using besides the 'standard' enhanced strain ÿelds also two other enhanced ÿelds is developed on the basis of the Hu-Washizu principle. For ÿrst-order Taylor expansion enhanced modes become uncoupled, thus only a negligible amount of computing e ort for the static condensation of enhanced modes is needed. Furthermore, the formulation permits a symbolic integration, which leads to a closed-form solution for the element tangent matrix. Several numerical examples show that the element is stable, invariant, passes the patch test and yields good results especially in the highly distorted regime.