Details
| Original language | English |
|---|---|
| Pages (from-to) | 30-40 |
| Number of pages | 11 |
| Journal | Computational mechanics |
| Volume | 19 |
| Issue number | 2 |
| Publication status | Published - 1996 |
| Externally published | Yes |
Abstract
Further development of three dimensional tri-linear elements based on a modified enhanced strain methodology is presented. The new formulation employs Taylor expansions of the derivatives of the isoparametric and enhanced shape functions in local coordinates. With this approach, only nine enhanced modes are needed for developing a dilatational-locking free element. Furthermore, the formulation permits a symbolic integration of the element tangent matrix, and more efficient static condensation procedure due to uncoupling of the enhanced modes. Good results in the analysis of thin shell structures, using only one 3D element in the thickness direction of the shell, are also presented.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computational mechanics, Vol. 19, No. 2, 1996, p. 30-40.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An efficient 3D enhanced strain element with Taylor expansion of the shape functions
AU - Korelc, J.
AU - Wriggers, Peter
PY - 1996
Y1 - 1996
N2 - Further development of three dimensional tri-linear elements based on a modified enhanced strain methodology is presented. The new formulation employs Taylor expansions of the derivatives of the isoparametric and enhanced shape functions in local coordinates. With this approach, only nine enhanced modes are needed for developing a dilatational-locking free element. Furthermore, the formulation permits a symbolic integration of the element tangent matrix, and more efficient static condensation procedure due to uncoupling of the enhanced modes. Good results in the analysis of thin shell structures, using only one 3D element in the thickness direction of the shell, are also presented.
AB - Further development of three dimensional tri-linear elements based on a modified enhanced strain methodology is presented. The new formulation employs Taylor expansions of the derivatives of the isoparametric and enhanced shape functions in local coordinates. With this approach, only nine enhanced modes are needed for developing a dilatational-locking free element. Furthermore, the formulation permits a symbolic integration of the element tangent matrix, and more efficient static condensation procedure due to uncoupling of the enhanced modes. Good results in the analysis of thin shell structures, using only one 3D element in the thickness direction of the shell, are also presented.
UR - http://www.scopus.com/inward/record.url?scp=0030286483&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0030286483
VL - 19
SP - 30
EP - 40
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 2
ER -