Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains

authored by
P. Wriggers, B. Hudobivnik, J. Korelc
Abstract

Virtual elements were introduced in the last decade and applied to problems in solid mechanics. The success of this methodology when applied to linear problems asks for an extension to the nonlinear regime. This work is concerned with the numerical simulation of structures made of anisotropic material undergoing large deformations. Especially problems with hyperelastic matrix materials and transversly isotropic behaviour will be investigated. The virtual element formulation is based on a low-order formulations for problems in two dimensions. The elements can be arbitrary polygons. The formulation considered relies on minimization of energy, with a novel construction of the stabilization energy and a mixed approximation for the fibers describing the anisotropic behaviour. The formulation is investigated through a several numerical examples, which demonstrate their efficiency, robustness, convergence properties, and locking-free behaviour.

Organisation(s)
Institute of Continuum Mechanics
External Organisation(s)
University of Ljubljana
Type
Contribution to book/anthology
Pages
417-434
No. of pages
18
Publication date
10.09.2017
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Civil and Structural Engineering, Modelling and Simulation, Biomedical Engineering, Computer Science Applications, Fluid Flow and Transfer Processes, Computational Mathematics, Electrical and Electronic Engineering
Electronic version(s)
https://doi.org/10.1007/978-3-319-60885-3_20 (Access: Closed)
 

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