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Derivation of F=FeFp as the continuum limit of crystalline slip
Affiliation:1. Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104, USA;2. Institut für Mathematik, Universität Würzburg, Emil-Fischer-Str. 40, 97074 Würzburg, Germany;3. Institut für Angewandte Mathematik, Universität Bonn, 53115 Bonn, Germany;1. Nano Science and Technology Program, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;2. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;3. Institute of High Performance Computing, 1 Fusionopolis Way, #16-16, Connexis, Singapore 138632, Singapore;4. Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA;5. Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104, USA
Abstract:
Keywords:Crystal plasticity  Finite kinematics  Dislocation density tensor  Homogenization
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