A mixed triangular finite element model has been developed for plate bending problems in which effects of shear deformation are included. Linear distribution for all variables is assumed and the matrix equation is obtained through Reissner's variational principle. In this model, interelement compati
A mixed-enhanced formulation tetrahedral finite elements
β Scribed by Robert L. Taylor
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 190 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
This paper considers the solution of problems in three-dimensional solid mechanics using tetrahedral ΓΏnite elements. A formulation based on a mixed-enhanced treatment involving displacement, pressure and volume e ects is presented. The displacement and pressure are used as nodal quantities while volume e ects and enhanced modes belong to individual elements. Both small and ΓΏnite deformation problems are addressed and sample solutions are given to illustrate the performance of the formulation.
π SIMILAR VOLUMES
The so-called enhanced strain ΓΏnite elements are based on the enrichment of the standard compatible strain ΓΏeld by the introduction of additional, non-compatible strains. This class of elements can be derived starting from a partial Hu-Washizu variational principle. However, since in the original en
The relationship between a mixed ΓΏnite element formulation based on the Hu-Washizu (HW) functional and stress recovery techniques is elucidated. Although mixed formulations are primarily motivated by avoidance of locking phenomena in ΓΏnite element solutions, it is shown that a mixed formulation base