Singular Kernels, Multiscale Decomposition of Microstructure, and Dislocation Models
نویسندگان
چکیده
منابع مشابه
Singular kernels, multiscale decomposition of microstructure, and dislocation models
We consider a model for dislocations in crystals introduced by Koslowski, Cuitiño and Ortiz, which includes elastic interactions via a singular kernel behaving as the H norm of the slip. We obtain a sharp-interface limit of the model within the framework of Γ-convergence. From an analytical point of view, our functional is a vector-valued generalization of the one studied by Alberti, Bouchitté ...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2010
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-010-0333-7