𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Indeterminacy of first order stress functions and the stress- and rotation-based formulation of linear elasticity

✍ Scribed by E. Bertóti

Publisher
Springer
Year
1994
Tongue
English
Weight
930 KB
Volume
14
Category
Article
ISSN
0178-7675

No coin nor oath required. For personal study only.

✦ Synopsis

Following from the indeterminacy of the nonsymmetric tensor of first order stress functions, satisfaction of the linear three-dimensional translational equilibrium equations can be achieved by the use of only six non-zero first order stress functions instead of nine. Utilizing this fact, redundant variable approximations in assumed nonsymmetric stress-based procedures can be avoided on the one hand, and, on the other, independent Euler equations and natural boundary conditions of mixed variational principles using nonsymmetric stresses as independent variables can be obtained. In this paper, the independent governing equations of linear elasticity in terms of stresses and rotations are derived using Fraeijs de Veubeke's complementary energy-based mixed variational principle.

📜 SIMILAR VOLUMES

On mixed variational formulations of lin
On mixed variational formulations of linear elasticity using nonsymmetric stresses and displacements
✍ E. Bertóti 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 790 KB

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 as

An adaptive least squares mixed finite e
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

Drying induced stresses estimated on the
Drying induced stresses estimated on the base of elastic and viscoelastic models
✍ Jacek Banaszak; Stefan J. Kowalski 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 316 KB

The main subject of this paper is to study how the chosen constitutive model of a saturated porous body undergoing drying process influences the numerically estimated drying induced stresses and deformations. To compare the results one assumes the material of a convectively dried cylinder to be both