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A Hu–Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics.
- Source :
-
Computational Mechanics . May2023, Vol. 71 Issue 5, p935-955. 21p. - Publication Year :
- 2023
-
Abstract
- An original, variational formulation of the Virtual Element Method (VEM) is proposed, based on a Hu–Washizu mixed variational statement for 2D linear elastostatics. The proposed variational framework appears to be ideal for the formulation of VEs, whereby compatibility is enforced in a weak sense and the strain model can be prescribed a priori, independently of the unknown displacement model. It is shown how the ensuing freedom in the definition of the strain model can be conveniently exploited for the formulation of self-stabilized and possibly locking-free low order VEs. The superior performances of the VEs formulated within this framework has been verified by application to several numerical tests. [ABSTRACT FROM AUTHOR]
- Subjects :
- *A priori
*DEFINITIONS
*ELASTICITY
*LIBERTY
Subjects
Details
- Language :
- English
- ISSN :
- 01787675
- Volume :
- 71
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Computational Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 163188120
- Full Text :
- https://doi.org/10.1007/s00466-023-02282-2