Details
| Translated title of the contribution | 梯度弹性的虚拟单元公式 |
|---|---|
| Original language | English |
| Article number | 722306 |
| Journal | Acta Mechanica Sinica/Lixue Xuebao |
| Volume | 39 |
| Issue number | 4 |
| Early online date | 13 Feb 2023 |
| Publication status | Published - Jun 2023 |
Abstract
The virtual element method has been developed over the last decade and applied to problems in solid mechanics. Different formulations have been used regarding the order of ansatz, stabilization of the method and applied to a wide range of problems including elastic and inelastic materials and fracturing processes. This paper is concerned with formulations of virtual elements for higher gradient elastic theories of solids using the possibility, inherent in virtual element methods, of formulating C1-continuous ansatz functions in a simple and efficient way. [Figure not available: see fulltext.]
Keywords
- C-continuity, Gradient elasticity, Virtual element method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanical Engineering
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In: Acta Mechanica Sinica/Lixue Xuebao, Vol. 39, No. 4, 722306, 06.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Virtual element formulation for gradient elasticity
AU - Wriggers, Peter
AU - Hudobivnik, Blaž
N1 - Acknowledgements: This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD, EXC 2122 (Grant No. 390833453).
PY - 2023/6
Y1 - 2023/6
N2 - The virtual element method has been developed over the last decade and applied to problems in solid mechanics. Different formulations have been used regarding the order of ansatz, stabilization of the method and applied to a wide range of problems including elastic and inelastic materials and fracturing processes. This paper is concerned with formulations of virtual elements for higher gradient elastic theories of solids using the possibility, inherent in virtual element methods, of formulating C1-continuous ansatz functions in a simple and efficient way. [Figure not available: see fulltext.]
AB - The virtual element method has been developed over the last decade and applied to problems in solid mechanics. Different formulations have been used regarding the order of ansatz, stabilization of the method and applied to a wide range of problems including elastic and inelastic materials and fracturing processes. This paper is concerned with formulations of virtual elements for higher gradient elastic theories of solids using the possibility, inherent in virtual element methods, of formulating C1-continuous ansatz functions in a simple and efficient way. [Figure not available: see fulltext.]
KW - C-continuity
KW - Gradient elasticity
KW - Virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85148691127&partnerID=8YFLogxK
U2 - 10.1007/s10409-022-22306-x
DO - 10.1007/s10409-022-22306-x
M3 - Article
AN - SCOPUS:85148691127
VL - 39
JO - Acta Mechanica Sinica/Lixue Xuebao
JF - Acta Mechanica Sinica/Lixue Xuebao
SN - 0567-7718
IS - 4
M1 - 722306
ER -