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Using the method of images, the stress field of a screw dislocation in a multi-layer material is determined by non-local elasticity. The general solution holds two particular cases: one is metals with surface film, the other is bimedium materials. All classical singularities of the stresses and of the forces on the screw dislocation are eliminated.
Kelin Pan andJing Fang
"Effect of dislocations in multilayer media", Proc. SPIE 1999, Adhesives Engineering, (27 September 1993); https://doi.org/10.1117/12.158606
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Kelin Pan, Jing Fang, "Effect of dislocations in multilayer media," Proc. SPIE 1999, Adhesives Engineering, (27 September 1993); https://doi.org/10.1117/12.158606