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
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines
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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