Details
| Original language | English |
|---|---|
| Article number | 114021 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 385 |
| Early online date | 9 Jul 2021 |
| Publication status | Published - 1 Nov 2021 |
Abstract
Considerable progress has been made during the last decade with respect to the development of discretization techniques that are based on the virtual element method. Here we construct a new scheme for large strain problems that include incompressible material behavior. The idea is to use a formulations analogous to the classical Taylor–Hood element, Taylor and Hood (1972) which is based on a mixed principle where different interpolation functions are used for the deformation and pressure field. In this paper, a quadratic serendipity ansatz for the displacements is combined with a linear pressure field which leads to new virtual element formulations that are discussed and compared in this paper.
Keywords
- Incompressibility, Large strains, Taylor Hood, Virtual element method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computer Methods in Applied Mechanics and Engineering, Vol. 385, 114021, 01.11.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A Taylor–Hood type virtual element formulations for large incompressible strains
AU - Wriggers, P.
AU - De Bellis, M. L.
AU - Hudobivnik, B.
N1 - Funding Information: The first author gratefully acknowledges support for this research by the “German Research Foundation” (DFG) in the collaborative research center CRC 1153 “Tailored Forming” while the third author acknowledges support for this research by the Cluster of Exellence (EXC 2122) “PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines” .
PY - 2021/11/1
Y1 - 2021/11/1
N2 - Considerable progress has been made during the last decade with respect to the development of discretization techniques that are based on the virtual element method. Here we construct a new scheme for large strain problems that include incompressible material behavior. The idea is to use a formulations analogous to the classical Taylor–Hood element, Taylor and Hood (1972) which is based on a mixed principle where different interpolation functions are used for the deformation and pressure field. In this paper, a quadratic serendipity ansatz for the displacements is combined with a linear pressure field which leads to new virtual element formulations that are discussed and compared in this paper.
AB - Considerable progress has been made during the last decade with respect to the development of discretization techniques that are based on the virtual element method. Here we construct a new scheme for large strain problems that include incompressible material behavior. The idea is to use a formulations analogous to the classical Taylor–Hood element, Taylor and Hood (1972) which is based on a mixed principle where different interpolation functions are used for the deformation and pressure field. In this paper, a quadratic serendipity ansatz for the displacements is combined with a linear pressure field which leads to new virtual element formulations that are discussed and compared in this paper.
KW - Incompressibility
KW - Large strains
KW - Taylor Hood
KW - Virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85110086221&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2021.114021
DO - 10.1016/j.cma.2021.114021
M3 - Article
AN - SCOPUS:85110086221
VL - 385
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 114021
ER -