## Abstract A non‐linear quadrilateral shell element for the analysis of thin structures is presented. The Reissner–Mindlin theory with inextensible director vector is used to develop a three‐field variational formulation with independent displacements, stress resultants and shell strains. The inte
Consistent discretization of thickness strains in thin shells including 3D-material models
✍ Scribed by Huettel, C. ;Matzenmiller, A.
- Book ID
- 101279989
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 140 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1069-8299
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✦ Synopsis
Following an idea by BuÈ chter et al. (1994), the normal strain in the thickness direction of shells with inextensible directors is accounted for by the EAS-method, in order to enforce for arbitrary 3D-material models the zero normal stress-condition in the average sense. In the present paper a polynomial expansion of the normal strain interpolation in the thickness direction including the constant term is proposed. This extension is consistent with Simo and Rifai (1990). The proposed method is also suitable to analyse plane stress problems with arbitrary 3D-material models.
📜 SIMILAR VOLUMES
The elasto-plastic behaviour and damage of materials reinforced with uniform or clustered distributions of particles has been previously investigated, for uniaxial loading, in a 1-D analysis restricted to the loading direction. Computational comparisons were performed in making use of a self-consist