Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 779-800 |
| Seitenumfang | 22 |
| Fachzeitschrift | International Journal for Numerical Methods in Engineering |
| Jahrgang | 23 |
| Ausgabenummer | 5 |
| Publikationsstatus | Veröffentlicht - Mai 1986 |
| Extern publiziert | Ja |
Abstract
This paper is concerned with the numerical solution of large deflection structural problems involving finite strains, subject to contact constraints and unilateral boundary conditions, and exhibiting inelastic constitutive response. First, a three‐dimensional finite strain beam model is summarized, and its numerical implementation in the two‐dimensional case is discussed. Next, a penalty formulation for the solution of contact problems is presented and the correct expression for consistent tangent matrix is developed. Finally, basic strategies for tracing limit points are reviewed and a modification of the arc‐length method is proposed. The good performance of the procedures discussed is illustrated by means of numerical examples.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Numerische Mathematik
- Ingenieurwesen (insg.)
- Mathematik (insg.)
- Angewandte Mathematik
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in: International Journal for Numerical Methods in Engineering, Jahrgang 23, Nr. 5, 05.1986, S. 779-800.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Finite deformation post‐buckling analysis involving inelasticity and contact constraints
AU - Simo, J. C.
AU - Wriggers, Peter
AU - Schweizerhof, K. H.
AU - Taylor, R. L.
PY - 1986/5
Y1 - 1986/5
N2 - This paper is concerned with the numerical solution of large deflection structural problems involving finite strains, subject to contact constraints and unilateral boundary conditions, and exhibiting inelastic constitutive response. First, a three‐dimensional finite strain beam model is summarized, and its numerical implementation in the two‐dimensional case is discussed. Next, a penalty formulation for the solution of contact problems is presented and the correct expression for consistent tangent matrix is developed. Finally, basic strategies for tracing limit points are reviewed and a modification of the arc‐length method is proposed. The good performance of the procedures discussed is illustrated by means of numerical examples.
AB - This paper is concerned with the numerical solution of large deflection structural problems involving finite strains, subject to contact constraints and unilateral boundary conditions, and exhibiting inelastic constitutive response. First, a three‐dimensional finite strain beam model is summarized, and its numerical implementation in the two‐dimensional case is discussed. Next, a penalty formulation for the solution of contact problems is presented and the correct expression for consistent tangent matrix is developed. Finally, basic strategies for tracing limit points are reviewed and a modification of the arc‐length method is proposed. The good performance of the procedures discussed is illustrated by means of numerical examples.
UR - http://www.scopus.com/inward/record.url?scp=0022716270&partnerID=8YFLogxK
U2 - 10.1002/nme.1620230504
DO - 10.1002/nme.1620230504
M3 - Article
AN - SCOPUS:0022716270
VL - 23
SP - 779
EP - 800
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 5
ER -