Serendipity virtual element formulation for nonlinear elasticity

authored by
M. L. De Bellis, P. Wriggers, B. Hudobivnik
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.

Organisation(s)
Institute of Continuum Mechanics
External Organisation(s)
University of Chieti
Type
Article
Journal
Computers and Structures
Volume
223
ISSN
0045-7949
Publication date
15.10.2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Civil and Structural Engineering, Modelling and Simulation, Materials Science(all), Mechanical Engineering, Computer Science Applications
Electronic version(s)
https://doi.org/10.1016/j.compstruc.2019.07.003 (Access: Closed)
 

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