TY - JOUR

T1 - Curvilinear virtual elements for contact mechanics

AU - Aldakheel, Fadi

AU - Hudobivnik, Blaž

AU - Artioli, Edoardo

AU - Beirão da Veiga, Lourenço

AU - Wriggers, Peter

N1 - Funding Information: The authors F. Aldakheel and P. Wriggers gratefully acknowledge support for this research by the “German Research Foundation” (DFG) in (i) the collaborative research center CRC 1153 and (ii) the Priority Program SPP 2020 within their second funding phases. The author L. Beirao da Veiga was partially supported by the European Research Council through the H2020 Consolidator Grant (Grant No. 681162 ) CAVE, Challenges and Advancements in Virtual Elements, and by the MIUR, Italy through the PRIN Grant No. 201744KLJL (this support is gratefully acknowledged). The author E. Artioli gratefully acknowledges the partial financial support of PRIN 2017 , Italy project “3D Printing: a bridge to the future (3DP_Future). Computational methods, innovative applications, experimental validations of new materials and technologies”, grant 2017L7X3CS_004 .

PY - 2020/12/1

Y1 - 2020/12/1

N2 - The virtual element method (VEM) for curved edges with applications to contact mechanics is outlined within this work. VEM allows the use of non-matching meshes at interfaces with the advantage that these can be mapped to a simple node-to-node contact formulation. To account for exact approximation of complex geometries at interfaces, we developed a VEM technology for contact that considers curved edges. A number of numerical examples illustrate the robustness and accuracy of this discretization technique. The results are very promising and underline the advantages of the new VEM formulation for contact between two elastic bodies in the presence of curved interfaces.

AB - The virtual element method (VEM) for curved edges with applications to contact mechanics is outlined within this work. VEM allows the use of non-matching meshes at interfaces with the advantage that these can be mapped to a simple node-to-node contact formulation. To account for exact approximation of complex geometries at interfaces, we developed a VEM technology for contact that considers curved edges. A number of numerical examples illustrate the robustness and accuracy of this discretization technique. The results are very promising and underline the advantages of the new VEM formulation for contact between two elastic bodies in the presence of curved interfaces.

KW - Contact discretization

KW - Curved edges

KW - Non-conforming mesh

KW - Virtual element method (VEM)

UR - http://www.scopus.com/inward/record.url?scp=85089364757&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2020.113394

DO - 10.1016/j.cma.2020.113394

M3 - Article

AN - SCOPUS:85089364757

VL - 372

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

M1 - 113394

ER -