Virtual element formulation for gradient elasticity

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Titel in Übersetzung梯度弹性的虚拟单元公式
OriginalspracheEnglisch
Aufsatznummer722306
FachzeitschriftActa Mechanica Sinica/Lixue Xuebao
Jahrgang39
Ausgabenummer4
Frühes Online-Datum13 Feb. 2023
PublikationsstatusVeröffentlicht - Juni 2023

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.]

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Virtual element formulation for gradient elasticity. / Wriggers, Peter; Hudobivnik, Blaž.
in: Acta Mechanica Sinica/Lixue Xuebao, Jahrgang 39, Nr. 4, 722306, 06.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Wriggers P, Hudobivnik B. Virtual element formulation for gradient elasticity. Acta Mechanica Sinica/Lixue Xuebao. 2023 Jun;39(4):722306. Epub 2023 Feb 13. doi: 10.1007/s10409-022-22306-x
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