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, General Materials Science, Mechanical Engineering, Computer Science Applications

Electronic version(s)

https://doi.org/10.1016/j.compstruc.2019.07.003 (Access: Closed)

 

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