Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 116-129 |
| Seitenumfang | 14 |
| Fachzeitschrift | Archive of applied mechanics |
| Jahrgang | 63 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - Feb. 1993 |
| Extern publiziert | Ja |
Abstract
This paper is concerned with finite deformations of elastic bodies in the presence of unilateral constraints. The penalty formulation is applied to introduce the contact constraints. We develop special isoparametric contact elements. Starting from their Gaussian points the distance between the body and the obstacle is determined, where the obstacle is given as a C2 continuous function. Variation and subsequent consistent linearization yield the tangent matrix of the contact elements in its general form, which can be incorporated into standard finite element schemes.
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in: Archive of applied mechanics, Jahrgang 63, Nr. 2, 02.1993, S. 116-129.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On the treatment of nonlinear unilateral contact problems
AU - Wriggers, Peter
AU - Imhof, M.
PY - 1993/2
Y1 - 1993/2
N2 - This paper is concerned with finite deformations of elastic bodies in the presence of unilateral constraints. The penalty formulation is applied to introduce the contact constraints. We develop special isoparametric contact elements. Starting from their Gaussian points the distance between the body and the obstacle is determined, where the obstacle is given as a C2 continuous function. Variation and subsequent consistent linearization yield the tangent matrix of the contact elements in its general form, which can be incorporated into standard finite element schemes.
AB - This paper is concerned with finite deformations of elastic bodies in the presence of unilateral constraints. The penalty formulation is applied to introduce the contact constraints. We develop special isoparametric contact elements. Starting from their Gaussian points the distance between the body and the obstacle is determined, where the obstacle is given as a C2 continuous function. Variation and subsequent consistent linearization yield the tangent matrix of the contact elements in its general form, which can be incorporated into standard finite element schemes.
UR - http://www.scopus.com/inward/record.url?scp=0027224658&partnerID=8YFLogxK
U2 - 10.1007/BF00788917
DO - 10.1007/BF00788917
M3 - Article
AN - SCOPUS:0027224658
VL - 63
SP - 116
EP - 129
JO - Archive of applied mechanics
JF - Archive of applied mechanics
SN - 0939-1533
IS - 2
ER -