Function theoretical approach to anisotropic plane elasticity

An alternative to the Kelvin decomposition for plane anisotropic elasticity

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 Critical Plane Approach to Anisotropic Strength of Rocks

The paper is concerned with the derivation of failure criteria for anisotropic materials through a simple extension of the Mohr Coulomb failure criterion and embracing the critical plane concept. We revisit the classic problem of determining the macroscopic strength of a rock specimen with an initial structural anisotropy in relation to the directions of externally applied principal stresses. M...

Bending-Unbending Analysis of Anisotropic Sheet under Plane Strain Condition

The mechanical behavior of cold rolled sheets is significantly related to residual stresses that arise from bending and unbending processes. Measurement of residual stresses is mostly limited to surface measurement techniques. Experimental determination of stress variation through thickness is difficult and time-consuming. This paper presents a closed form solution for residual stresses, in whi...

Topological Derivatives in Plane Elasticity

We present a method for construction of the topological derivatives in plane elasticity. It is assumed that a hole is created in the subdomain of the elastic body which is filled out with isotropic material. The asymptotic analysis of elliptic boundary value problems in singularly perturbed geometrical domains is used in order to derive the asymptotics of the shape functionals depending on the ...