Details
Original language | English |
---|---|
Article number | 117740 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 436 |
Early online date | 18 Jan 2025 |
Publication status | E-pub ahead of print - 18 Jan 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.
Keywords
- Finite deformations, Finite elements, Frictionless contact, Hyperelasticity
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computer Methods in Applied Mechanics and Engineering, Vol. 436, 117740, 01.03.2025.
Research output: Contribution to journal › Article › Research › 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 - 2025/1/18
Y1 - 2025/1/18
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 -