On the convergence of a mixed finite-element method for plate bending problems
β Scribed by Claes Johnson
- Publisher
- Springer-Verlag
- Year
- 1973
- Tongue
- English
- Weight
- 891 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0029-599X
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## Abstract A simple mixed finite element method is developed. The finite element is a rectangular triangle and rectangle. In the element the deflections are assumed to be simple fourβelement polynomials, bending moments, __M__~__x__~ and __M__~__y__~ with a partially linear distribution, and a con
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
An analysis of a triangular mixed finite element method, proposed by Taylor and Auricchio (cf. [ 131) is presented. The method is based on a linked interpolation between deflections and rotations in order to avoid the locking phenomenon (cf. [ 151). The analysis shows that the approximated deflectio