A mixed finite element formulation for plate problems
โ Scribed by A. Chatterjee; A. V. Setlur
- Publisher
- John Wiley and Sons
- Year
- 1972
- Tongue
- English
- Weight
- 674 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
โฆ Synopsis
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 compatibility is completely satisfied whereas the governing equations within the element are satisfied 'in the mean'. A detailed error analysis is made and convergence of the scheme is proved. Numerical examples of thin and moderately thick plates are presented.
๐ SIMILAR VOLUMES
A residual finite element formulation is developed in this paper to solve elastodynamic problems in which body wave potentials are primary unknowns. The formulation is based on minimizing the square of the residuals of governing equations as well as all boundary conditions. Since the boundary condit