Virtual Element Methods for Engineering Applications

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Authors

Research Organisations

View graph of relations

Details

Original languageEnglish
Title of host publicationThe Virtual Element Method and its Applications
EditorsPaola F. Antonietti, Lourenço Beirão da Veiga, Gianmarco Manzini
PublisherSpringer Science and Business Media Deutschland GmbH
Pages557-605
Number of pages49
Edition1
Publication statusPublished - 2022

Publication series

NameSEMA SIMAI Springer Series
Volume31
ISSN (Print)2199-3041
ISSN (electronic)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.

ASJC Scopus subject areas

Cite this

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

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Wriggers, P, Aldakheel, F & Hudobivnik, B 2022, Virtual Element Methods for Engineering Applications. in PF Antonietti, L Beirão da Veiga & G Manzini (eds), The Virtual Element Method and its Applications. 1 edn, SEMA SIMAI Springer Series, vol. 31, Springer Science and Business Media Deutschland GmbH, pp. 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 (Eds.), The Virtual Element Method and its Applications (1 ed., pp. 557-605). (SEMA SIMAI Springer Series; Vol. 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, editors, The Virtual Element Method and its Applications. 1 ed. Springer Science and Business Media Deutschland GmbH. 2022. p. 557-605. (SEMA SIMAI Springer Series). Epub 2022 May 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. editor / Paola F. Antonietti ; Lourenço Beirão da Veiga ; Gianmarco Manzini. 1. ed. Springer Science and Business Media Deutschland GmbH, 2022. pp. 557-605 (SEMA SIMAI Springer Series).
Download
@inbook{b826eb4fbc0d4edf88d66aeb34ca226c,
title = "Virtual Element Methods for Engineering Applications",
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.",
author = "Peter Wriggers and Fadi Aldakheel and Bla{\v z} Hudobivnik",
year = "2022",
doi = "10.1007/978-3-030-95319-5_13",
language = "English",
series = "SEMA SIMAI Springer Series",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "557--605",
editor = "Antonietti, {Paola F.} and {Beir{\~a}o da Veiga}, Louren{\c c}o and Gianmarco Manzini",
booktitle = "The Virtual Element Method and its Applications",
address = "Germany",
edition = "1",

}

Download

TY - CHAP

T1 - Virtual Element Methods for Engineering Applications

AU - Wriggers, Peter

AU - Aldakheel, Fadi

AU - Hudobivnik, Blaž

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85139838178&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-95319-5_13

DO - 10.1007/978-3-030-95319-5_13

M3 - Contribution to book/anthology

AN - SCOPUS:85139838178

T3 - SEMA SIMAI Springer Series

SP - 557

EP - 605

BT - The Virtual Element Method and its Applications

A2 - Antonietti, Paola F.

A2 - Beirão da Veiga, Lourenço

A2 - Manzini, Gianmarco

PB - Springer Science and Business Media Deutschland GmbH

ER -

By the same author(s)