Nanoscale phase field microelasticity theory of dislocations: model and 3D simulations |
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| Affiliation: | 1. Department of Mechanical and Aerospace Engineering, Rutgers University, 98 Brett Road, Piscataway, NJ 08854-8058, USA;2. Department of Ceramic and Materials Engineering, Rutgers University, 607 Taylor Road, Piscataway, NJ 08854-8065, USA;1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710129, PR China;2. State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an, 710072, PR China;1. CEA, DEN, SRMA, F-91191 Gif-sur-Yvette, France;2. Laboratoire d’Etude des Microstructures, CNRS-ONERA, 29 av. de la Division Leclerc, 92322 Châtillon Cedex, France;3. SCK–CEN, Nuclear Materials Science Institute, Boeretang 200, B-2400 Mol, Belgium;1. Iowa State University, Department of Aerospace Engineering, Ames, IA 50011, USA;2. Iowa State University, Department of Mechanical Engineering, Ames, IA 50011, USA;3. Iowa State University, Department of Material Science and Engineering, Ames, IA 50011, USA;4. Isfahan University of Technology, Department of Mechanical Engineering, Isfahan, Iran;1. GE Global Research, One Research Circle, Niskayuna, NY 12309, USA;2. Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA;3. Department of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA;4. Department of Materials Science and Engineering, Ohio State University, 2041 College Road, Columbus, OH 43210, USA |
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| Abstract: | The first Phase Field model of evolution of a multi-dislocation system in elastically anisotropic crystal under applied stress is formulated. The model is a modification and extension of our Phase Field Microelasticity approach to the theory of coherent phase transformations. The long-range strain-induced interaction of individual dislocations is calculated exactly and is explicitly incorporated in the Phase Field formalism. It also automatically takes into account the effects of “short-range interactions”, such as multiplication and annihilation of dislocations and a formation of various metastable microstructures involving dislocations and defects. The proposed 3-dimensional Phase Field model of dislocations does not impose a priori constraints on possible dislocation structures or their evolution paths. Examples of simulation of the FCC 3D system under applied stress are considered. |
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