Details
| Original language | English |
|---|---|
| Pages (from-to) | 407-421 |
| Number of pages | 15 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 40 |
| Issue number | 3 |
| Publication status | Published - 15 Feb 1997 |
| Externally published | Yes |
Abstract
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 fields also two other enhanced fields is developed on the basis of the Hu-Washizu principle. For first-order Taylor expansion enhanced modes become uncoupled, thus only a negligible amount of computing effort 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.
Keywords
- Enhanced strain method, Finite element method, Symbolic integration
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 40, No. 3, 15.02.1997, p. 407-421.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Improved enhanced strain four-node element with taylor expansion of the shape functions
AU - Korelc, Jože
AU - Wriggers, Peter
PY - 1997/2/15
Y1 - 1997/2/15
N2 - 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 fields also two other enhanced fields is developed on the basis of the Hu-Washizu principle. For first-order Taylor expansion enhanced modes become uncoupled, thus only a negligible amount of computing effort 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.
AB - 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 fields also two other enhanced fields is developed on the basis of the Hu-Washizu principle. For first-order Taylor expansion enhanced modes become uncoupled, thus only a negligible amount of computing effort 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.
KW - Enhanced strain method
KW - Finite element method
KW - Symbolic integration
UR - http://www.scopus.com/inward/record.url?scp=0031075734&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0207(19970215)40:3<407::AID-NME70>3.0.CO;2-P
DO - 10.1002/(SICI)1097-0207(19970215)40:3<407::AID-NME70>3.0.CO;2-P
M3 - Article
AN - SCOPUS:0031075734
VL - 40
SP - 407
EP - 421
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 3
ER -