Shear Stresses and Strain Energies of Edge Dislocations in Anisotropic Cubic Crystals

Abstract

Analytic solutions for the shear stress and energy factors of three basic types of edge dislocations in cubic anisotropic crystals have been published previously based on the general solution of Eshelby, Read, and Shockley. Naming the slip plane and Burgers vector in order, the dislocation types referred to are {010}, 〈100〉; {1̄10}, ½〈110〉; and {001}, ½〈1̄10〉. The most important kind of edge dislocation in fcc metals and diamond-type crystals, however, is of type {111}, ½〈11̄0〉, belonging to by far the most important slip system. This problem has previously been considered by Seeger and Schöck. In the present paper, analytic solutions are derived for the shear stresses and energy factors of the {111}, ½〈11̄0〉 edge dislocation and are evaluated numerically for the cases of aluminum, α-brass, copper, gold, lead, nickel, silver, thorium, diamond, germanium, and silicon. The results are compared to those obtained from isotropic elasticity theory and an approximation introduced by Aerts, Delavignette, Siems, and Amelinckx.