Details
| Original language | English |
|---|---|
| Pages (from-to) | 454-472 |
| Number of pages | 19 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 71 |
| Issue number | 4 |
| Publication status | Published - 23 Jul 2007 |
Abstract
This paper describes an improvement of the Cosserat point element formulation for initially distorted, non-rectangular shaped elements in 2D. The original finite element formulation for 3D large deformations shows excellent behaviour for sensitive geometries, large deformations, coarse meshes, bending dominated and stability problems without showing undesired effects such as locking or hourglassing, as long as the initial element shape resembles that of a rectangular parallelepiped. In the following, an extension of this element formulation for 2D plane strain is presented which has the same good properties also for the case of non-rectangular initial element shapes. Results of numerical tests are presented, that clearly show the advantages of the improved Cosserat point element compared to the standard displacement elements and the original version of the Cosserat point element.
Keywords
- Cosserat point theory, Finite elasticity, Finite element technology, Hourglassing, Locking
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 71, No. 4, 23.07.2007, p. 454-472.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A new finite element based on the theory of a Cosserat point
T2 - Extension to initially distorted elements for 2D plane strain
AU - Boerner, E. F.I.
AU - Löhnert, Stefan
AU - Wriggers, Peter
PY - 2007/7/23
Y1 - 2007/7/23
N2 - This paper describes an improvement of the Cosserat point element formulation for initially distorted, non-rectangular shaped elements in 2D. The original finite element formulation for 3D large deformations shows excellent behaviour for sensitive geometries, large deformations, coarse meshes, bending dominated and stability problems without showing undesired effects such as locking or hourglassing, as long as the initial element shape resembles that of a rectangular parallelepiped. In the following, an extension of this element formulation for 2D plane strain is presented which has the same good properties also for the case of non-rectangular initial element shapes. Results of numerical tests are presented, that clearly show the advantages of the improved Cosserat point element compared to the standard displacement elements and the original version of the Cosserat point element.
AB - This paper describes an improvement of the Cosserat point element formulation for initially distorted, non-rectangular shaped elements in 2D. The original finite element formulation for 3D large deformations shows excellent behaviour for sensitive geometries, large deformations, coarse meshes, bending dominated and stability problems without showing undesired effects such as locking or hourglassing, as long as the initial element shape resembles that of a rectangular parallelepiped. In the following, an extension of this element formulation for 2D plane strain is presented which has the same good properties also for the case of non-rectangular initial element shapes. Results of numerical tests are presented, that clearly show the advantages of the improved Cosserat point element compared to the standard displacement elements and the original version of the Cosserat point element.
KW - Cosserat point theory
KW - Finite elasticity
KW - Finite element technology
KW - Hourglassing
KW - Locking
UR - http://www.scopus.com/inward/record.url?scp=34547108576&partnerID=8YFLogxK
U2 - 10.1002/nme.1954
DO - 10.1002/nme.1954
M3 - Article
AN - SCOPUS:34547108576
VL - 71
SP - 454
EP - 472
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 4
ER -