1953
DOI: 10.1088/0370-1301/66/9/309
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Edge Dislocations in Inhomogeneous Media

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Cited by 253 publications
(101 citation statements)
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“…The component of Burgers vector normal to grain boundary is now b n ¼ jbj ¼ a 0 ffiffiffi ffi 10 p % 0:128 nm, where a 0 is the cubic lattice parameter. We confirm this measurement by analytically calculating the stress field associated with such dislocations 22) using the measured bicrystal elastic properties and comparing it with the stress field determined in the simulation, as shown in Fig. 3(a).…”
Section: Resultssupporting
confidence: 71%
“…The component of Burgers vector normal to grain boundary is now b n ¼ jbj ¼ a 0 ffiffiffi ffi 10 p % 0:128 nm, where a 0 is the cubic lattice parameter. We confirm this measurement by analytically calculating the stress field associated with such dislocations 22) using the measured bicrystal elastic properties and comparing it with the stress field determined in the simulation, as shown in Fig. 3(a).…”
Section: Resultssupporting
confidence: 71%
“…First, the stress field caused by the dislocation was obtained from the work of [15]. This was substituted to following equation for the strain energy per unit length of the dislocation [16]:…”
Section: Discussionmentioning
confidence: 99%
“…This analogy has been used in a recent theoretical study of grain-boundary`di usion wedges' by Gao et al (1999), although they concentrated on timedependent stress relaxation phenomena rather than cracking per se. These workers used Head's (1953) approach to describe the stress ®eld of an array of in®nitesimal edge dislocations, b…x 0 † dx 0 , extending from the free surface (xˆ0) to the tip of the di usion wedge (or crack) at xˆc. For a dislocation at a distance h from the free surface, Head' s solutions for ¼ xx and ¼ yy are…”
Section: } 4 Discussionmentioning
confidence: 99%