Details
| Original language | English |
|---|---|
| Article number | 104552 |
| Journal | Computational mechanics |
| Publication status | Accepted/In press - 2025 |
Abstract
Third medium contact can be applied in situations where large deformations occur and self-contact is possible. This specific discretization technique has the advantage that the inequality constraint, inherent in contact formulations, is circumvented. The approach has several applications, like soft robotic or topology optimization. Recent approaches have been explored, using the gradient of the deformation measure to improve algorithmic performance. However, these methods typically require quadrilateral or hexahedral finite elements with quadratic shape functions, adding to their complexity. Also, the computation of second order gradients using quadratic triangular or tetrahedral elements does not lead to reasonable results since these gradients are constant at element level. In this paper, we apply a new regularization technique to triangular and tetrahedral finite elements of lowest ansatz order that approximates the gradient computations and thus reduces computational complexity.
Keywords
- Finite deformations, Finite elements, Frictionless contact, Hyperelasticity
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, 2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - First order finite element formulations for third medium contact
AU - Wriggers, P.
AU - Korelc, J.
AU - Junker, Ph
N1 - Publisher Copyright: © The Author(s) 2025.
PY - 2025
Y1 - 2025
N2 - Third medium contact can be applied in situations where large deformations occur and self-contact is possible. This specific discretization technique has the advantage that the inequality constraint, inherent in contact formulations, is circumvented. The approach has several applications, like soft robotic or topology optimization. Recent approaches have been explored, using the gradient of the deformation measure to improve algorithmic performance. However, these methods typically require quadrilateral or hexahedral finite elements with quadratic shape functions, adding to their complexity. Also, the computation of second order gradients using quadratic triangular or tetrahedral elements does not lead to reasonable results since these gradients are constant at element level. In this paper, we apply a new regularization technique to triangular and tetrahedral finite elements of lowest ansatz order that approximates the gradient computations and thus reduces computational complexity.
AB - Third medium contact can be applied in situations where large deformations occur and self-contact is possible. This specific discretization technique has the advantage that the inequality constraint, inherent in contact formulations, is circumvented. The approach has several applications, like soft robotic or topology optimization. Recent approaches have been explored, using the gradient of the deformation measure to improve algorithmic performance. However, these methods typically require quadrilateral or hexahedral finite elements with quadratic shape functions, adding to their complexity. Also, the computation of second order gradients using quadratic triangular or tetrahedral elements does not lead to reasonable results since these gradients are constant at element level. In this paper, we apply a new regularization technique to triangular and tetrahedral finite elements of lowest ansatz order that approximates the gradient computations and thus reduces computational complexity.
KW - Finite deformations
KW - Finite elements
KW - Frictionless contact
KW - Hyperelasticity
UR - http://www.scopus.com/inward/record.url?scp=105003435494&partnerID=8YFLogxK
U2 - 10.1007/s00466-025-02628-y
DO - 10.1007/s00466-025-02628-y
M3 - Article
AN - SCOPUS:105003435494
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
M1 - 104552
ER -