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The Behaviour of an Edge Dislocation in Non‐Homogeneous Anisotropic Body with Cracks
Author(s) -
Kurihara T.
Publication year - 1972
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19720521003
Subject(s) - burgers vector , orthotropic material , dislocation , anisotropy , perpendicular , enhanced data rates for gsm evolution , materials science , symmetry (geometry) , mathematical analysis , condensed matter physics , classical mechanics , geometry , physics , mathematics , optics , telecommunications , finite element method , computer science , thermodynamics
The forces of interaction between a stationary edge dislocation and a partially bonded bimetallic interface is discussed in the framework of the elastic continuum approximation. Here, each of two semi‐infinite media, bonded together, is assumed to be anisotropic. The method of solution is based on the reduction to a type of dual nonhomogeneous Hilbert problem for two functions. Some numerical calculations are carried out for the simple case where the direction of the Burgers vector of dislocation is perpendicular to the interface. It is assumed that both of two materials are orthotropic and have the same elastic coefficients. The effect of mismatch of the axes of elastic symmetry on the glide force and the equilibrium position of dislocation is discussed in detail.