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The solid angle and the Burgers formula in the theory of gradient elasticity: Line integral representation |
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| Affiliation: | 1. Heisenberg Research Group, Department of Physics, Darmstadt University of Technology, Hochschulstr. 6, D-64289 Darmstadt, Germany;2. Mechanical and Aerospace Engineering, University of California, Los Angeles, Los Angeles, CA 90095, USA |
| Abstract: | A representation of the solid angle and the Burgers formula as line integral is derived in the framework of the theory of gradient elasticity of Helmholtz type. The gradient version of the Eshelby–deWit representation of the Burgers formula of a closed dislocation loop is given. Such a form is suitable for the numerical implementation in 3D dislocation dynamics (DD). |
| Keywords: | Dislocation loops Gradient elasticity Burgers formula Solid angle Dirac monopole |
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