Details
| Original language | English |
|---|---|
| Title of host publication | The Virtual Element Method and its Applications |
| Editors | Paola F. Antonietti, Lourenço Beirão da Veiga, Gianmarco Manzini |
| Publisher | Springer Science and Business Media Deutschland GmbH |
| Pages | 557-605 |
| Number of pages | 49 |
| Edition | 1 |
| Publication status | Published - 2022 |
Publication series
| Name | SEMA SIMAI Springer Series |
|---|---|
| Volume | 31 |
| 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
- Engineering(all)
- Computational Mechanics
- Mathematics(all)
- Numerical Analysis
- Agricultural and Biological Sciences(all)
- Agricultural and Biological Sciences (miscellaneous)
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
- Chemical Engineering(all)
- Fluid Flow and Transfer Processes
- Mathematics(all)
- Computational Mathematics
- Engineering(all)
- Industrial and Manufacturing Engineering
- Mathematics(all)
- Applied Mathematics
Cite this
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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 proceeding › Contribution to book/anthology › Research › peer review
}
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 -