Details
| Original language | English |
|---|---|
| Pages (from-to) | 1655-1678 |
| Number of pages | 24 |
| Journal | Archive of applied mechanics |
| Volume | 92 |
| Issue number | 6 |
| Early online date | 15 Apr 2022 |
| Publication status | Published - Jun 2022 |
Abstract
The virtual element method (VEM) was developed not too long ago, starting with the paper [2] related to elasticity in solid mechanics. The virtual element method allows to revisit the construction of different elements; however, it has so far not applied to one-dimensional structures like trusses and beams. Here we study several VEM elements suitable for trusses and beams and show that the virtual element methodology produces elements that are equivalent to well-known finite elements but also elements that are different, especially for higher-order ansatz functions. It will be shown that these elements can be easily incorporated in classical finite element codes since they have the same number of unknowns as finite beam elements. Furthermore, the formulation allows to compute nonlinear structural problems undergoing large deflections and rotations.
Keywords
- Euler–Bernoulli beams, Higher-order ansatz, Large deflections, trusses, Virtual element method (VEM)
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
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In: Archive of applied mechanics, Vol. 92, No. 6, 06.2022, p. 1655-1678.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On a virtual element formulation for trusses and beams
AU - Wriggers, P.
PY - 2022/6
Y1 - 2022/6
N2 - The virtual element method (VEM) was developed not too long ago, starting with the paper [2] related to elasticity in solid mechanics. The virtual element method allows to revisit the construction of different elements; however, it has so far not applied to one-dimensional structures like trusses and beams. Here we study several VEM elements suitable for trusses and beams and show that the virtual element methodology produces elements that are equivalent to well-known finite elements but also elements that are different, especially for higher-order ansatz functions. It will be shown that these elements can be easily incorporated in classical finite element codes since they have the same number of unknowns as finite beam elements. Furthermore, the formulation allows to compute nonlinear structural problems undergoing large deflections and rotations.
AB - The virtual element method (VEM) was developed not too long ago, starting with the paper [2] related to elasticity in solid mechanics. The virtual element method allows to revisit the construction of different elements; however, it has so far not applied to one-dimensional structures like trusses and beams. Here we study several VEM elements suitable for trusses and beams and show that the virtual element methodology produces elements that are equivalent to well-known finite elements but also elements that are different, especially for higher-order ansatz functions. It will be shown that these elements can be easily incorporated in classical finite element codes since they have the same number of unknowns as finite beam elements. Furthermore, the formulation allows to compute nonlinear structural problems undergoing large deflections and rotations.
KW - Euler–Bernoulli beams
KW - Higher-order ansatz
KW - Large deflections
KW - trusses
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=85128193739&partnerID=8YFLogxK
U2 - 10.1007/s00419-022-02113-5
DO - 10.1007/s00419-022-02113-5
M3 - Article
AN - SCOPUS:85128193739
VL - 92
SP - 1655
EP - 1678
JO - Archive of applied mechanics
JF - Archive of applied mechanics
SN - 0939-1533
IS - 6
ER -