A third medium approach for contact using first and second order finite elements

Research output: Contribution to journalArticleResearchpeer review

Authors

Research Organisations

External Research Organisations

  • University of Ljubljana
View graph of relations

Details

Original languageEnglish
Article number117740
JournalComputer Methods in Applied Mechanics and Engineering
Volume436
Early online date18 Jan 2025
Publication statusE-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

Cite this

A third medium approach for contact using first and second order finite elements. / Wriggers, P.; Korelc, J.; Junker, Ph.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 436, 117740, 01.03.2025.

Research output: Contribution to journalArticleResearchpeer review

Download
@article{6b84505b644049a380656acdce9340fd,
title = "A third medium approach for contact using first and second order finite elements",
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",
author = "P. Wriggers and J. Korelc and Ph Junker",
note = "Publisher Copyright: {\textcopyright} 2025 The Authors",
year = "2025",
month = jan,
day = "18",
doi = "10.1016/j.cma.2025.117740",
language = "English",
volume = "436",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",

}

Download

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 -

By the same author(s)