Virtual element formulation for gradient elasticity

authored by
Peter Wriggers, Blaž Hudobivnik
Abstract

The virtual element method has been developed over the last decade and applied to problems in solid mechanics. Different formulations have been used regarding the order of ansatz, stabilization of the method and applied to a wide range of problems including elastic and inelastic materials and fracturing processes. This paper is concerned with formulations of virtual elements for higher gradient elastic theories of solids using the possibility, inherent in virtual element methods, of formulating C1-continuous ansatz functions in a simple and efficient way. [Figure not available: see fulltext.]

Organisation(s)
Institute of Continuum Mechanics
Type
Article
Journal
Acta Mechanica Sinica/Lixue Xuebao
Volume
39
ISSN
0567-7718
Publication date
06.2023
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Computational Mechanics, Mechanical Engineering
Electronic version(s)
https://doi.org/10.1007/s10409-022-22306-x (Access: Open)
 

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