๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A mixed finite element formulation for plate problems

โœ 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.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


A least squares finite element formulati
โœ Rudra Pratap; Tribikram Kundu ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 413 KB

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