Note on Green’s function in anisotropic elasticity

Efficient computation of forces on dislocation segments in anisotropic elasticity

We compare several alternative approaches for computing the stress field of a straight dislocation segment and its forces on other segments in an anisotropic linear elastic medium. The Willis–Steeds–Lothe expression can be implemented faster than Brown’s formula and the matrix formalism is only slightly faster than the integral formalism. Expressions for self-stress and selfforce are also expli...

The topological derivative in anisotropic elasticity

A comprehensive treatment of the topological derivative for anisotropic elasticity is presented, with both the background material and the trial small inhomogeneity assumed to have arbitrary anisotropic elastic properties. A formula for the topological derivative of any cost functional defined in terms of regular volume or surface densities depending on the displacement is established, by combi...

On Saint-Venant's principle in plane anisotropic elasticity

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...

A Note on Uniqueness for Anisotropic Fluids

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...