Details
| Original language | English |
|---|---|
| Pages (from-to) | 79-109 |
| Number of pages | 31 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 48 |
| Issue number | 1 |
| Publication status | Published - 23 Mar 2000 |
Abstract
Enhanced strain element formulations are known to show an outstanding performance in many applications. The stability of these elements, however, cannot be guaranteed for general deformation states and arbitrarily shaped elements. In order to overcome this deficiency, we develop an innovative control technique based on a modal analysis on element level. The control is completely automatic in the sense that no artificial factors are introduced. The computational effort is negligible. The key to the approach is the split of the element tangent matrix into constant and hourglass parts which is not possible for the classical enhanced strain concept in general. This motivates the use of a recently developed reduced integration method, which, since its stabilization part is derived on the basis of the enhanced strain method, shows the same performance and retains the crucial split. Using this formulation in combination with the new control technique, leads to a 'smart' element which is free of hourglass instabilities and generally applicable, also for strongly distorted meshes.
Keywords
- Distorted meshes, Enhanced strain method, Hourglass stabilization, One Gauss point integration, Plane strain state, Smart elements
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. 48, No. 1, 23.03.2000, p. 79-109.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A stabilization technique to avoid hourglassing in finite elasticity
AU - Reese, S.
AU - Wriggers, Peter
PY - 2000/3/23
Y1 - 2000/3/23
N2 - Enhanced strain element formulations are known to show an outstanding performance in many applications. The stability of these elements, however, cannot be guaranteed for general deformation states and arbitrarily shaped elements. In order to overcome this deficiency, we develop an innovative control technique based on a modal analysis on element level. The control is completely automatic in the sense that no artificial factors are introduced. The computational effort is negligible. The key to the approach is the split of the element tangent matrix into constant and hourglass parts which is not possible for the classical enhanced strain concept in general. This motivates the use of a recently developed reduced integration method, which, since its stabilization part is derived on the basis of the enhanced strain method, shows the same performance and retains the crucial split. Using this formulation in combination with the new control technique, leads to a 'smart' element which is free of hourglass instabilities and generally applicable, also for strongly distorted meshes.
AB - Enhanced strain element formulations are known to show an outstanding performance in many applications. The stability of these elements, however, cannot be guaranteed for general deformation states and arbitrarily shaped elements. In order to overcome this deficiency, we develop an innovative control technique based on a modal analysis on element level. The control is completely automatic in the sense that no artificial factors are introduced. The computational effort is negligible. The key to the approach is the split of the element tangent matrix into constant and hourglass parts which is not possible for the classical enhanced strain concept in general. This motivates the use of a recently developed reduced integration method, which, since its stabilization part is derived on the basis of the enhanced strain method, shows the same performance and retains the crucial split. Using this formulation in combination with the new control technique, leads to a 'smart' element which is free of hourglass instabilities and generally applicable, also for strongly distorted meshes.
KW - Distorted meshes
KW - Enhanced strain method
KW - Hourglass stabilization
KW - One Gauss point integration
KW - Plane strain state
KW - Smart elements
UR - http://www.scopus.com/inward/record.url?scp=0034187903&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0207(20000510)48:1<79::AID-NME869>3.0.CO;2-D
DO - 10.1002/(SICI)1097-0207(20000510)48:1<79::AID-NME869>3.0.CO;2-D
M3 - Article
AN - SCOPUS:0034187903
VL - 48
SP - 79
EP - 109
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 1
ER -