Details
| Original language | English |
|---|---|
| Article number | 106094 |
| Journal | Computers and Structures |
| Volume | 223 |
| Early online date | 2 Aug 2019 |
| Publication status | Published - 15 Oct 2019 |
Abstract
In this paper, the novel concept of Serendipity Virtual Elements is extended to the case of compressible hyper-elastic materials in 2D. Second order polynomials are adopted for the projection involved in the consistency part, while different stabilization techniques are proposed and critically compared with each other. Various numerical examples, involving very severe loading conditions, indicate that the proposed elements are very accurate and robust with respect to distortion. Furthermore the proposed virtual elements are inherently able to capture higher order deformation modes, such as bending states.
Keywords
- Second order approximation, Serendipity elements, Stabilization, VEM
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 223, 106094, 15.10.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Serendipity virtual element formulation for nonlinear elasticity
AU - De Bellis, M. L.
AU - Wriggers, P.
AU - Hudobivnik, B.
N1 - Funding Information: The first author acknowledges financial support from the Alexander von Humboldt Foundation (https://www.humboldt-foundation.de/web/home.html). The second author acknowledges the support of the Deutsche Forschungsgemeinschaft under contract WR 19/50-1 within the priority program SPP 1748.
PY - 2019/10/15
Y1 - 2019/10/15
N2 - In this paper, the novel concept of Serendipity Virtual Elements is extended to the case of compressible hyper-elastic materials in 2D. Second order polynomials are adopted for the projection involved in the consistency part, while different stabilization techniques are proposed and critically compared with each other. Various numerical examples, involving very severe loading conditions, indicate that the proposed elements are very accurate and robust with respect to distortion. Furthermore the proposed virtual elements are inherently able to capture higher order deformation modes, such as bending states.
AB - In this paper, the novel concept of Serendipity Virtual Elements is extended to the case of compressible hyper-elastic materials in 2D. Second order polynomials are adopted for the projection involved in the consistency part, while different stabilization techniques are proposed and critically compared with each other. Various numerical examples, involving very severe loading conditions, indicate that the proposed elements are very accurate and robust with respect to distortion. Furthermore the proposed virtual elements are inherently able to capture higher order deformation modes, such as bending states.
KW - Second order approximation
KW - Serendipity elements
KW - Stabilization
KW - VEM
UR - http://www.scopus.com/inward/record.url?scp=85073645441&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2019.07.003
DO - 10.1016/j.compstruc.2019.07.003
M3 - Article
AN - SCOPUS:85073645441
VL - 223
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
M1 - 106094
ER -