Micromechanics and dislocation theory in anisotropic elasticity

Dislocation core field. I. Modeling in anisotropic linear elasticity theory

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...

Theory of Elasticity and Consolidation for a Porous Anisotropic Solid

The author's previous theory of elasticity and consolidation for isotropic materials m. Appl. Phys. 12, 15.5-164 (1941)] is extended to the general case of anisotropy. The method of derivation is also different and more direct. The particular cases of transverse isotropy and complete isotropy are discussed.

Theory of Stability of Multilayered Continua in Finite Anisotropic Elasticity

The writer’s general equations for the mechanics of continua under initial stress are applied to the formulation of a rigorous theory of stability of multilayered elastic media in a state of finite initial strain. The medium is assumed incompressible. It is either isotropic or anisotropic. The problem is analyzed in the context of the writer’s earlier discussions showing the existence of intern...

The vacancy - edge dislocation interaction in fcc metals: a comparison between atomic simulations and elasticity theory

The interaction between vacancies and edge dislocations in face centered cubic metals (Al, Au, Cu, Ni) is studied at different length scales. Using empirical potentials and static relaxation, atomic simulations give us a precise description of this interaction, mostly in the case when the separation distance between both defects is small. At larger distances, elasticity theory can be used to pr...