Details
| Original language | English |
|---|---|
| Title of host publication | ECCOMAS Multidisciplinary Jubilee Symposium |
| Subtitle of host publication | New Computational Challenges in Materials, Structures, and Fluids |
| Editors | Jacques Périaux, Josef Eberhardsteiner, Christian Hellmich, Herbert A. Mang |
| Publisher | Springer Netherlands |
| Pages | 33-48 |
| Number of pages | 16 |
| ISBN (print) | 9781402092305 |
| Publication status | Published - 2009 |
| Event | International ECCOMAS Multidisciplinary Jubilee Symposium - New Computational Challenges in Materials, Structures, and Fluids, EMJS 2008 - Vienna, Austria Duration: 18 Feb 2008 → 20 Feb 2008 |
Publication series
| Name | Computational Methods in Applied Sciences |
|---|---|
| Volume | 14 |
| ISSN (Print) | 1871-3033 |
Abstract
Two three-dimensional eight-node brick continuum finite elements are presented which are based on volume averaging techniques. For both elements, the point of departure is the additive split of the strain energy function into a homogeneous and an inhomogeneous part. The first element, called MEI, can be applied for robust computations of incompressibly materials. It is based on a split into a substructure consisting of eight sub-elements inside each finite element, further referred to as macro-element. For each sub-element, the deformation is averaged. The resulting sub-element response is assembled and projected onto the nodes of the macro-element. The second element, called Q1/EI9 (Q1/EI12), uses an enhancement of the inhomogeneous part of the deformation only. For the inhomogeneous part, linear elasticity is assumed, while a compressible Neo-Hooke material is used for the homogeneous part. Thus, an element which is locking and hourglassing free as well as insensitive to initial element distortion is developed. In several examples, the performance of the elements is tested.
Keywords
- Finite deformations, Hourglassing, Incompressibility, Locking
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Biomedical Engineering
- Computer Science(all)
- Computer Science Applications
- Chemical Engineering(all)
- Fluid Flow and Transfer Processes
- Mathematics(all)
- Computational Mathematics
- Engineering(all)
- Electrical and Electronic Engineering
Cite this
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- BibTeX
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ECCOMAS Multidisciplinary Jubilee Symposium: New Computational Challenges in Materials, Structures, and Fluids. ed. / Jacques Périaux; Josef Eberhardsteiner; Christian Hellmich; Herbert A. Mang. Springer Netherlands, 2009. p. 33-48 (Computational Methods in Applied Sciences; Vol. 14).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Brick elements for finite deformations based on macro-concepts and on inhomogeneous mode enhancement
AU - Wriggers, Peter
AU - Mueller-Hoeppe, D. S.
AU - Löhnert, Stefan
PY - 2009
Y1 - 2009
N2 - Two three-dimensional eight-node brick continuum finite elements are presented which are based on volume averaging techniques. For both elements, the point of departure is the additive split of the strain energy function into a homogeneous and an inhomogeneous part. The first element, called MEI, can be applied for robust computations of incompressibly materials. It is based on a split into a substructure consisting of eight sub-elements inside each finite element, further referred to as macro-element. For each sub-element, the deformation is averaged. The resulting sub-element response is assembled and projected onto the nodes of the macro-element. The second element, called Q1/EI9 (Q1/EI12), uses an enhancement of the inhomogeneous part of the deformation only. For the inhomogeneous part, linear elasticity is assumed, while a compressible Neo-Hooke material is used for the homogeneous part. Thus, an element which is locking and hourglassing free as well as insensitive to initial element distortion is developed. In several examples, the performance of the elements is tested.
AB - Two three-dimensional eight-node brick continuum finite elements are presented which are based on volume averaging techniques. For both elements, the point of departure is the additive split of the strain energy function into a homogeneous and an inhomogeneous part. The first element, called MEI, can be applied for robust computations of incompressibly materials. It is based on a split into a substructure consisting of eight sub-elements inside each finite element, further referred to as macro-element. For each sub-element, the deformation is averaged. The resulting sub-element response is assembled and projected onto the nodes of the macro-element. The second element, called Q1/EI9 (Q1/EI12), uses an enhancement of the inhomogeneous part of the deformation only. For the inhomogeneous part, linear elasticity is assumed, while a compressible Neo-Hooke material is used for the homogeneous part. Thus, an element which is locking and hourglassing free as well as insensitive to initial element distortion is developed. In several examples, the performance of the elements is tested.
KW - Finite deformations
KW - Hourglassing
KW - Incompressibility
KW - Locking
UR - http://www.scopus.com/inward/record.url?scp=84962815322&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84962815322
SN - 9781402092305
T3 - Computational Methods in Applied Sciences
SP - 33
EP - 48
BT - ECCOMAS Multidisciplinary Jubilee Symposium
A2 - Périaux, Jacques
A2 - Eberhardsteiner, Josef
A2 - Hellmich, Christian
A2 - Mang, Herbert A.
PB - Springer Netherlands
T2 - International ECCOMAS Multidisciplinary Jubilee Symposium - New Computational Challenges in Materials, Structures, and Fluids, EMJS 2008
Y2 - 18 February 2008 through 20 February 2008
ER -