A variational principle and hybrid Trefftz finite element for the analysis of Reissner plates
β Scribed by F.S. Jin; Q.H. Qin
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 359 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0045-7949
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π SIMILAR VOLUMES
## Abstract A mixed variational principle is developed and utilized in a finite element formulation. The procedure is mixed in the sense that it is based upon a combination of modified potential and complementary energy principles. Compatibility and equilibrium are satisfied throughout the domain _
A valuable variational approach for plate problems based on the Reissner-Mindlin theory is presented. The new MiSP (Mixed Shear Projected) approach is based on the Hellinger-Reissner variational principle, with a particular representation of transversal shear forces and transversal shear strains. Th
## Abstract A complementary HuβWashizu functional Ξ~3~, based on formulae presented by Atluri (1984), is given in dyadic notation. By introducing Legendre transformation, the HeillingerβReissner functional Ξ ~2~, Ξ~2~ and the classic potential energy functional Ξ ~1~ are obtained. An incremental mode