Abstract
We present a general virtual element method (VEM) framework for finite elasticity, which emphasizes two issues: element-level volume change (volume average of the determinant of the deformation gradient) and stabilization. To address the former issue, we provide exact evaluation of the average volume change in both 2D and 3D on properly constructed local displacement spaces. For the later issue, we provide a new stabilization scheme that is based on the trace of the material tangent modulus tensor, which captures highly heterogeneous and localized deformations. Two VEM formulations are presented: a two-field mixed and an equivalent displacement-based, which is free of volumetric locking. Convergence and accuracy of the VEM formulations are verified by means of numerical examples, and engineering applications are demonstrated.
| Original language | American English |
|---|---|
| Pages (from-to) | 148-192 |
| Number of pages | 45 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 318 |
| DOIs | |
| State | Published - May 1 2017 |
| Externally published | Yes |
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications
Keywords
- Filled elastomers
- Finite elasticity
- Mixed variational principle
- Virtual element method (VEM)
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