Details
| Original language | English |
|---|---|
| Pages (from-to) | 2133-2161 |
| Number of pages | 29 |
| Journal | Engineering Computations (Swansea, Wales) |
| Volume | 36 |
| Issue number | 7 |
| Publication status | Published - 12 Aug 2019 |
Abstract
Purpose: This paper aims to describe the application of the virtual element method (VEM) to contact problems between elastic bodies. Design/methodology/approach: Polygonal elements with arbitrary shape allow a stable node-to-node contact enforcement. By adaptively adjusting the polygonal mesh, this methodology is extended to problems undergoing large frictional sliding. Findings: The virtual element is well suited for large deformation contact problems. The issue of element stability for this specific application is discussed, and the capability of the method is demonstrated by means of numerical examples. Originality/value: This work is completely new as this is the first time, as per the authors’ knowledge, the VEM is applied to large deformation contact.
Keywords
- Adaptive meshing, Contact discretization, Node-to-node contact, Non-conforming mesh, Virtual element method (VEM)
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- Computer Science(all)
- Computer Science Applications
- Computer Science(all)
- Computational Theory and Mathematics
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In: Engineering Computations (Swansea, Wales), Vol. 36, No. 7, 12.08.2019, p. 2133-2161.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A virtual element method for frictional contact including large deformations
AU - Wriggers, Peter
AU - Rust, Wilhelm T.
N1 - Funding information: The first author would like to acknowledge the support of the "Deutsche Forschungsgemeinschaft" under contract "Novel finite element technologies for anisotropic media" via the priority program "Reliable Simulation Techniques in Solid Mechanics, Development of Non-standard Discretization Methods, Mechanical and Mathematical Analysis" (SPP 1748).
PY - 2019/8/12
Y1 - 2019/8/12
N2 - Purpose: This paper aims to describe the application of the virtual element method (VEM) to contact problems between elastic bodies. Design/methodology/approach: Polygonal elements with arbitrary shape allow a stable node-to-node contact enforcement. By adaptively adjusting the polygonal mesh, this methodology is extended to problems undergoing large frictional sliding. Findings: The virtual element is well suited for large deformation contact problems. The issue of element stability for this specific application is discussed, and the capability of the method is demonstrated by means of numerical examples. Originality/value: This work is completely new as this is the first time, as per the authors’ knowledge, the VEM is applied to large deformation contact.
AB - Purpose: This paper aims to describe the application of the virtual element method (VEM) to contact problems between elastic bodies. Design/methodology/approach: Polygonal elements with arbitrary shape allow a stable node-to-node contact enforcement. By adaptively adjusting the polygonal mesh, this methodology is extended to problems undergoing large frictional sliding. Findings: The virtual element is well suited for large deformation contact problems. The issue of element stability for this specific application is discussed, and the capability of the method is demonstrated by means of numerical examples. Originality/value: This work is completely new as this is the first time, as per the authors’ knowledge, the VEM is applied to large deformation contact.
KW - Adaptive meshing
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=85068165350&partnerID=8YFLogxK
U2 - 10.1108/ec-02-2019-0043
DO - 10.1108/ec-02-2019-0043
M3 - Article
AN - SCOPUS:85068165350
VL - 36
SP - 2133
EP - 2161
JO - Engineering Computations (Swansea, Wales)
JF - Engineering Computations (Swansea, Wales)
SN - 0264-4401
IS - 7
ER -