An e$cient assumed strain triangular solid element is developed for the analysis of plate and shell structures. The "nite element formulation is based on the two-"eld assumed strain formulation with two independent "elds of assumed displacement and assumed strain. The assumed strain "eld is carefull
A four-node solid shell element formulation with assumed strain
β Scribed by Brian L. Kemp; Chahngmin Cho; Sung W. Lee
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 173 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
A set of four-node shell element models based on the assumed strain formulation is considered here. The formulation allows for changes in the shell thickness. As a result, the kinematics of deformation are described by purely vectorial variables, without using rotational angles. The present study investigates the use of bubble function displacements and the assumed strain ΓΏeld. Careful selection of the assumed strain terms generates an element whose order of numerical integration does not increase even when the bubble function displacements are added. Results for the four-node element without any bubble function terms show sensitivity to element distortion. Use of the bubble functions with a carefully chosen assumed strain ΓΏeld greatly improves element performance.
π SIMILAR VOLUMES
## Abstract A formulation for 36βDOF assumed strain triangular solid shell element is developed for efficient analysis of plates and shells undergoing finite rotations. Higher order deformation modes described by the bubble function displacements are added to the assumed displacement field. The ass
An application of the element-based Lagrangian formulation is described for large-deformation analysis of both single-layered and laminated shells. Natural co-ordinate-based stresses, strains and constitutive equations are used throughout the formulation of the present shell element which o ers sign