Details
| Original language | English |
|---|---|
| Pages (from-to) | 38-48 |
| Number of pages | 11 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 144 |
| Early online date | 8 Mar 2018 |
| Publication status | Published - May 2018 |
Abstract
In the paper we present a low-order virtual element formulation for modelling the strain-softening response of quasi-brittle materials. For this purpose, a formulation in two-dimensions is considered, with virtual elements having arbitrary shape. The method is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for isotropic elasto-damage. A set of numerical examples, illustrating the efficiency of the proposed method, complements the paper.
Keywords
- Isotropic damage, Regularization techniques, Stabilization, VEM
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Applied Mathematics
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In: Finite Elements in Analysis and Design, Vol. 144, 05.2018, p. 38-48.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Virtual element formulation for isotropic damage
AU - De Bellis, Maria Laura
AU - Wriggers, Peter
AU - Hudobivnik, Blaž
AU - Zavarise, Giorgio
N1 - Funding information: The fourth author's research was supported by the Italian Ministry of Education, University and Research . PRIN 2015. Prot. 2015JW9NJT. This support is gratefully acknowledged. The first author gratefully acknowledges financial support from the Alexander von Humboldt Foundation ( https://www.humboldt-foundation.de/web/home.html )
PY - 2018/5
Y1 - 2018/5
N2 - In the paper we present a low-order virtual element formulation for modelling the strain-softening response of quasi-brittle materials. For this purpose, a formulation in two-dimensions is considered, with virtual elements having arbitrary shape. The method is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for isotropic elasto-damage. A set of numerical examples, illustrating the efficiency of the proposed method, complements the paper.
AB - In the paper we present a low-order virtual element formulation for modelling the strain-softening response of quasi-brittle materials. For this purpose, a formulation in two-dimensions is considered, with virtual elements having arbitrary shape. The method is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for isotropic elasto-damage. A set of numerical examples, illustrating the efficiency of the proposed method, complements the paper.
KW - Isotropic damage
KW - Regularization techniques
KW - Stabilization
KW - VEM
UR - http://www.scopus.com/inward/record.url?scp=85043365282&partnerID=8YFLogxK
U2 - 10.5281/zenodo.3709175
DO - 10.5281/zenodo.3709175
M3 - Article
AN - SCOPUS:85043365282
VL - 144
SP - 38
EP - 48
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
ER -