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On mixed variational formulations of linear elasticity using nonsymmetric stresses and displacements

✍ Scribed by E. Bertóti

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
790 KB
Volume
34
Category
Article
ISSN
0020-7683

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✦ Synopsis

Enforcement of the symmetry constraint on the stress tensor in dual mixed variational principles using nonsymmetric stresses is usually achieved through introducing the rotations as Lagrange multipliers. This paper presents a new way for imposition of the symmetry requirement on the stress tensor assumed to he not a priori symmetric. The central idea in our approach is to find symmetry-equivalent conditions that can be incorporated into the corresponding variational principles using the displacements as Lagrange multipliers.

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An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity
✍ Zhiqiang Cai; Johannes Korsawe; Gerhard Starke 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 199 KB 👁 1 views

## Abstract A least‐squares mixed finite element method for linear elasticity, based on a stress‐displacement formulation, is investigated in terms of computational efficiency. For the stress approximation quadratic Raviart‐Thomas elements are used and these are coupled with the quadratic nonconfor