Details
| Original language | English |
|---|---|
| Pages (from-to) | 779-800 |
| Number of pages | 22 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 23 |
| Issue number | 5 |
| Publication status | Published - May 1986 |
| Externally published | Yes |
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 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. 23, No. 5, 05.1986, p. 779-800.
Research output: Contribution to journal › Article › Research › 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 -