Details
| Original language | English |
|---|---|
| Article number | 104183 |
| Number of pages | 13 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 237 |
| Early online date | 17 May 2024 |
| Publication status | Published - 15 Sept 2024 |
Abstract
The Node-to-Segment (NTS) method enhanced computational contact mechanics by enabling contact analysis with large deformations with contact location as part of the unknowns. Despite having shortcomings, it is still to this day largely employed by the industry for contact analysis between continuous surfaces due to its low computational cost and scalability, instead of more precise, mathematically sound, but more computationally expensive methods. The method's persistent relevance inspired attempts at improving its performance, usually for first-order elements. It is well known that NTS is not working well for higher orders due to its topological inconsistency. This work proposes a way of reducing the side-effects of the second order penalty-based Node-to-Segment method without adding complexity to contact detection or formulation. This can be achieved using virtual elements to describe the adjacent continuum, because of a filter effect introduced by the polynomial projection used in stress post-processing, which reduces the stress oscillations resulting from higher order penalty-based Node-to-Segment methods.
Keywords
- Node-to-segment contact, Virtual element method
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Applied Mathematics
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In: Finite Elements in Analysis and Design, Vol. 237, 104183, 15.09.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A second-order penalty-based node-to-segment contact using the Virtual Element Method
AU - Moherdaui, Tiago Fernandes
AU - Gay Neto, Alfredo
AU - Wriggers, Peter
N1 - Publisher Copyright: © 2024 Elsevier B.V.
PY - 2024/9/15
Y1 - 2024/9/15
N2 - The Node-to-Segment (NTS) method enhanced computational contact mechanics by enabling contact analysis with large deformations with contact location as part of the unknowns. Despite having shortcomings, it is still to this day largely employed by the industry for contact analysis between continuous surfaces due to its low computational cost and scalability, instead of more precise, mathematically sound, but more computationally expensive methods. The method's persistent relevance inspired attempts at improving its performance, usually for first-order elements. It is well known that NTS is not working well for higher orders due to its topological inconsistency. This work proposes a way of reducing the side-effects of the second order penalty-based Node-to-Segment method without adding complexity to contact detection or formulation. This can be achieved using virtual elements to describe the adjacent continuum, because of a filter effect introduced by the polynomial projection used in stress post-processing, which reduces the stress oscillations resulting from higher order penalty-based Node-to-Segment methods.
AB - The Node-to-Segment (NTS) method enhanced computational contact mechanics by enabling contact analysis with large deformations with contact location as part of the unknowns. Despite having shortcomings, it is still to this day largely employed by the industry for contact analysis between continuous surfaces due to its low computational cost and scalability, instead of more precise, mathematically sound, but more computationally expensive methods. The method's persistent relevance inspired attempts at improving its performance, usually for first-order elements. It is well known that NTS is not working well for higher orders due to its topological inconsistency. This work proposes a way of reducing the side-effects of the second order penalty-based Node-to-Segment method without adding complexity to contact detection or formulation. This can be achieved using virtual elements to describe the adjacent continuum, because of a filter effect introduced by the polynomial projection used in stress post-processing, which reduces the stress oscillations resulting from higher order penalty-based Node-to-Segment methods.
KW - Node-to-segment contact
KW - Virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85193452124&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2024.104183
DO - 10.1016/j.finel.2024.104183
M3 - Article
AN - SCOPUS:85193452124
VL - 237
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
M1 - 104183
ER -