This paper aims to describe the application of the virtual element method (VEM) to contact problems between elastic bodies.
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.
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.
This work is completely new as this is the first time, as per the authors’ knowledge, the VEM is applied to large deformation contact.
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).
Wriggers, P. and Rust, W.T. (2019), "A virtual element method for frictional contact including large deformations", Engineering Computations, Vol. 36 No. 7, pp. 2133-2161. https://doi.org/10.1108/EC-02-2019-0043
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