Virtual Element Methods for Engineering Applications

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OriginalspracheEnglisch
Titel des SammelwerksThe Virtual Element Method and its Applications
Herausgeber/-innenPaola F. Antonietti, Lourenço Beirão da Veiga, Gianmarco Manzini
Herausgeber (Verlag)Springer Science and Business Media Deutschland GmbH
Seiten557-605
Seitenumfang49
Auflage1
PublikationsstatusVeröffentlicht - 2022

Publikationsreihe

NameSEMA SIMAI Springer Series
Band31
ISSN (Print)2199-3041
ISSN (elektronisch)2199-305X

Abstract

Discretization schemes that base on the virtual element method (VEM) have gained over the last decade interest in the engineering community. VEM was applied to different problems in elasticity, elasto-plasticity, fracture and damage mechanics using different theoretical formulations like phase field approaches. For predictive simulations of such problems as well linear as nonlinear weak formulations have to be considered. This contribution is concerned with extensions of the virtual element method to problems of nonlinear nature where VEM has advantages, like in micromechanics, fracture and contact mechanics. Low-order formulations for problems in two dimensions, with elements being arbitrary polygons, are considered.

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Virtual Element Methods for Engineering Applications. / Wriggers, Peter; Aldakheel, Fadi; Hudobivnik, Blaž.
The Virtual Element Method and its Applications. Hrsg. / Paola F. Antonietti; Lourenço Beirão da Veiga; Gianmarco Manzini. 1. Aufl. Springer Science and Business Media Deutschland GmbH, 2022. S. 557-605 (SEMA SIMAI Springer Series; Band 31).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

Wriggers, P, Aldakheel, F & Hudobivnik, B 2022, Virtual Element Methods for Engineering Applications. in PF Antonietti, L Beirão da Veiga & G Manzini (Hrsg.), The Virtual Element Method and its Applications. 1 Aufl., SEMA SIMAI Springer Series, Bd. 31, Springer Science and Business Media Deutschland GmbH, S. 557-605. https://doi.org/10.1007/978-3-030-95319-5_13
Wriggers, P., Aldakheel, F., & Hudobivnik, B. (2022). Virtual Element Methods for Engineering Applications. In P. F. Antonietti, L. Beirão da Veiga, & G. Manzini (Hrsg.), The Virtual Element Method and its Applications (1 Aufl., S. 557-605). (SEMA SIMAI Springer Series; Band 31). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-95319-5_13
Wriggers P, Aldakheel F, Hudobivnik B. Virtual Element Methods for Engineering Applications. in Antonietti PF, Beirão da Veiga L, Manzini G, Hrsg., The Virtual Element Method and its Applications. 1 Aufl. Springer Science and Business Media Deutschland GmbH. 2022. S. 557-605. (SEMA SIMAI Springer Series). Epub 2022 Mai 8. doi: 10.1007/978-3-030-95319-5_13
Wriggers, Peter ; Aldakheel, Fadi ; Hudobivnik, Blaž. / Virtual Element Methods for Engineering Applications. The Virtual Element Method and its Applications. Hrsg. / Paola F. Antonietti ; Lourenço Beirão da Veiga ; Gianmarco Manzini. 1. Aufl. Springer Science and Business Media Deutschland GmbH, 2022. S. 557-605 (SEMA SIMAI Springer Series).
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