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Energy of a Prismatic Dislocation Loop in an Elastic Cylinder

Department of Mechanical Engineering, Stanford University, CA 94305-4040, USA

Christopher R. Weinberger

Department of Mechanical Engineering, Stanford University, CA 94305-4040, USA

The energy of a prismatic dislocation loop in an isotropic elastic cylinder is derived, resulting in semi-analytic expressions. Analytic expressions are obtained in two limits: when the radius of the dislocation loop approaches the cylinder radius and when the radius of the dislocation loop is much smaller than the cylinder radius. These expressions can be used to predict the critical condition for misfit dislocation formation in semiconducting nanowires.

Key Words: Dislocation • Image stress • isotropic elasticity • Fourier transform

Mathematics and Mechanics of Solids, Vol. 14, No. 1-2, 192-206 (2009)
DOI: 10.1177/1081286508092611


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