Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 117740 |
| Fachzeitschrift | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang | 436 |
| Frühes Online-Datum | 18 Jan. 2025 |
| Publikationsstatus | Veröffentlicht - 1 März 2025 |
Abstract
Third medium contact can be applied in situations where large deformations occur and self-contact is possible. Starting with Wriggers et al. (2013), this approach has been further developed and often applied in the area of topology optimization. Lately approaches have been discussed which use the gradient of the deformation measure to enhance the performance of the algorithm. Such approaches, however, require finite elements with quadratic shape function. In this paper two new regularization techniques are introduced which on one hand reduce the complexity of the gradient computation of the deformation measure and on the other hand allow the use of finite elements with linear shape functions. The approaches will be critically evaluated and applied to different two-dimensional problems.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Numerische Mechanik
- Ingenieurwesen (insg.)
- Werkstoffmechanik
- Ingenieurwesen (insg.)
- Maschinenbau
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
- Informatik (insg.)
- Angewandte Informatik
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in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 436, 117740, 01.03.2025.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A third medium approach for contact using first and second order finite elements
AU - Wriggers, P.
AU - Korelc, J.
AU - Junker, Ph
N1 - Publisher Copyright: © 2025 The Authors
PY - 2025/3/1
Y1 - 2025/3/1
N2 - Third medium contact can be applied in situations where large deformations occur and self-contact is possible. Starting with Wriggers et al. (2013), this approach has been further developed and often applied in the area of topology optimization. Lately approaches have been discussed which use the gradient of the deformation measure to enhance the performance of the algorithm. Such approaches, however, require finite elements with quadratic shape function. In this paper two new regularization techniques are introduced which on one hand reduce the complexity of the gradient computation of the deformation measure and on the other hand allow the use of finite elements with linear shape functions. The approaches will be critically evaluated and applied to different two-dimensional problems.
AB - Third medium contact can be applied in situations where large deformations occur and self-contact is possible. Starting with Wriggers et al. (2013), this approach has been further developed and often applied in the area of topology optimization. Lately approaches have been discussed which use the gradient of the deformation measure to enhance the performance of the algorithm. Such approaches, however, require finite elements with quadratic shape function. In this paper two new regularization techniques are introduced which on one hand reduce the complexity of the gradient computation of the deformation measure and on the other hand allow the use of finite elements with linear shape functions. The approaches will be critically evaluated and applied to different two-dimensional problems.
KW - Finite deformations
KW - Finite elements
KW - Frictionless contact
KW - Hyperelasticity
UR - http://www.scopus.com/inward/record.url?scp=85215090378&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2025.117740
DO - 10.1016/j.cma.2025.117740
M3 - Article
AN - SCOPUS:85215090378
VL - 436
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 117740
ER -