Abstract
We investigate a recently proposed variational principle with rigid-body constraints and present an extension of its implementation in three dimensional finite elasticity problems. Through numerical examples, we illustrate that the proposed variational principle with rigid-body constraints is applicable to both single field and mixed finite elements of arbitrary order and geometry, e.g. triangular/tetrahedral and quadrilateral/hexagonal elements, in two and three dimensions. Moreover, we demonstrate that, as compared to the commonly adopted approach of discretizing the rigid domains with standard finite elements, the proposed formulation requires neither discretization nor numerical integration in the interior of each rigid domain. As a comparative result, the variational formulation may reduce the total number of degrees of freedom of the resulting finite element system and provide improved accuracy.
Original language | English (US) |
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Pages (from-to) | 15-26 |
Number of pages | 12 |
Journal | Mechanics Research Communications |
Volume | 78 |
DOIs | |
State | Published - Dec 1 2016 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
Keywords
- 3D FEA
- Finite elastostatics
- Rigid inclusions
- Variational principles