RI~SUMt~ Par une mdthode applicable ~t un tr~s grand nombre de milieu anisotropique, l'auteur utilise les in6galit6s concern~nt la d~croissance de l'6nergie darts le cas d'un probl~me plan et dans l'hypoth6se de conditions 61astostatiques lin~ahes, l'auteur pr6cise la validit6 du principe de Saint-Venant dans le cadre de ses applications. Une limite in fdrieure (en fonction des constantes 61ast...

This note gives a necessary and sufficient condition that a compressible, isotropic elastic material should admit non-trivial states of finite anti-plane shear. One of the simplest classes of deformations of solids is that of anti-plane shear, in which each particle of a cylindrical body undergoes a displacement parallel to the generators of the cylinder and independent of the axial position of...

In this article, we consider a hybridized tangential-displacement normal-normalstress (TDNNS) discretization of linear elasticity. As shown in earlier work by Joachim Schöberl and the first author, TDNNS is a stable finite element discretization that does not suffers from volume locking. We propose a finite element tearing and interconnecting (FETI) method in order to solve the resulting linear...

In this paper we discuss the implementation of parallel multigrid methods on unstructured locally refined meshes for 2D linear elasticity calculations. The problem of rebalancing the workload of the processors during execution of the program is discussed in detail and a load balancing algorithm suited for hierarchical meshes is proposed. For large problems the efficiency per multigrid iteration...