Details
| Original language | English |
|---|---|
| Pages (from-to) | 641-659 |
| Number of pages | 19 |
| Journal | Computational mechanics |
| Volume | 46 |
| Issue number | 4 |
| Publication status | Published - 6 Jun 2010 |
Abstract
A new enhanced assumed strain brick element for finite deformations in finite elasticity and plasticity is presented. The element is based on an expansion of shape function derivatives using Taylor series and an extended set of orthogonality conditions that have to be satisfied for an hourglassing free EAS formulation. Such approach has not been applied so far in the context of large deformation threedimensional problems. It leads to a surprisinglywell- behaved locking and hourglassing free element formulation. Major advantage of the new element is its shear locking free performance in the limit of very thin elements, thus it is applicable to shell type problems. Crucial for the derivation of the residual and consistent tangent matrix of the element is the automation of the implementation by automatic code generation.
Keywords
- Enhanced strain, Finite deformation, Finite element, Shear deformation
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
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In: Computational mechanics, Vol. 46, No. 4, 06.06.2010, p. 641-659.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An improved EAS brick element for finite deformation
AU - Korelc, Jože
AU - Šolinc, Urša
AU - Wriggers, Peter
PY - 2010/6/6
Y1 - 2010/6/6
N2 - A new enhanced assumed strain brick element for finite deformations in finite elasticity and plasticity is presented. The element is based on an expansion of shape function derivatives using Taylor series and an extended set of orthogonality conditions that have to be satisfied for an hourglassing free EAS formulation. Such approach has not been applied so far in the context of large deformation threedimensional problems. It leads to a surprisinglywell- behaved locking and hourglassing free element formulation. Major advantage of the new element is its shear locking free performance in the limit of very thin elements, thus it is applicable to shell type problems. Crucial for the derivation of the residual and consistent tangent matrix of the element is the automation of the implementation by automatic code generation.
AB - A new enhanced assumed strain brick element for finite deformations in finite elasticity and plasticity is presented. The element is based on an expansion of shape function derivatives using Taylor series and an extended set of orthogonality conditions that have to be satisfied for an hourglassing free EAS formulation. Such approach has not been applied so far in the context of large deformation threedimensional problems. It leads to a surprisinglywell- behaved locking and hourglassing free element formulation. Major advantage of the new element is its shear locking free performance in the limit of very thin elements, thus it is applicable to shell type problems. Crucial for the derivation of the residual and consistent tangent matrix of the element is the automation of the implementation by automatic code generation.
KW - Enhanced strain
KW - Finite deformation
KW - Finite element
KW - Shear deformation
UR - http://www.scopus.com/inward/record.url?scp=77954956403&partnerID=8YFLogxK
U2 - 10.1007/s00466-010-0506-0
DO - 10.1007/s00466-010-0506-0
M3 - Article
AN - SCOPUS:77954956403
VL - 46
SP - 641
EP - 659
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 4
ER -