Details
| Original language | English |
|---|---|
| Pages (from-to) | 1039-1050 |
| Number of pages | 12 |
| Journal | Computational mechanics |
| Volume | 58 |
| Issue number | 6 |
| Early online date | 27 Sept 2016 |
| Publication status | Published - Dec 2016 |
Abstract
The problem of contact between two elastic bodies is addressed computationally using the virtual element method (VEM). The use of the VEM allows the use of non-matching meshes for the two bodies, and hence obviates the need for node-to-node contact on the candidate contact interfaces. The contact constraint is imposed using either a Lagrange multiplier or penalty formulation. A number of numerical examples illustrate the robustness and accuracy of the algorithm.
Keywords
- Contact discretization, Node-to-node contact, Non-conforming mesh, Virtual element method (VEM)
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, Vol. 58, No. 6, 12.2016, p. 1039-1050.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A virtual element method for contact
AU - Wriggers, P.
AU - Rust, W. T.
AU - Reddy, B. D.
N1 - Funding information: Special care had to be taken to obtain the smootheness of the displacement and contact tractions at the contact interface. In this context the authors would like to thank Prof. Franco Brezzi for pointing out a method for a special stabilization that enhanced the results considerably, see Sect. . The third author acknowledges the generous support of the Alexander von Humboldt Foundation, through a Georg Forster Research Award.
PY - 2016/12
Y1 - 2016/12
N2 - The problem of contact between two elastic bodies is addressed computationally using the virtual element method (VEM). The use of the VEM allows the use of non-matching meshes for the two bodies, and hence obviates the need for node-to-node contact on the candidate contact interfaces. The contact constraint is imposed using either a Lagrange multiplier or penalty formulation. A number of numerical examples illustrate the robustness and accuracy of the algorithm.
AB - The problem of contact between two elastic bodies is addressed computationally using the virtual element method (VEM). The use of the VEM allows the use of non-matching meshes for the two bodies, and hence obviates the need for node-to-node contact on the candidate contact interfaces. The contact constraint is imposed using either a Lagrange multiplier or penalty formulation. A number of numerical examples illustrate the robustness and accuracy of the algorithm.
KW - Contact discretization
KW - Node-to-node contact
KW - Non-conforming mesh
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=84988699895&partnerID=8YFLogxK
U2 - 10.1007/s00466-016-1331-x
DO - 10.1007/s00466-016-1331-x
M3 - Article
AN - SCOPUS:84988699895
VL - 58
SP - 1039
EP - 1050
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 6
ER -