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XVI. The Non-Hookean interaction of a dislocation with a lattice inhomogeneity

1952; Taylor & Francis; Volume: 43; Issue: 337 Linguagem: Inglês

10.1080/14786440208561088

1941-5990

M. A. Jaswon, A.J.E. Foreman,

Numerical methods in engineering

Abstract The equilibrium position of an edge dislocation near certain types of lattice irregularities is investigated quantitatively, using the Peierls model of a dislocation. The external shear stress required to maintain equilibrium is calculated and the result extended to an array of like dislocations piled up against a barrier. The integral equation for the atomic displacements is linearized by a perturbation technique, the resulting equation being solved exactly.