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Finite deformation analysis of mechanism-based strain gradient plasticity: torsion and crack tip field
Institution:1. Failure Mechanics Laboratory, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People''s Republic of China;2. Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, IL 61801, USA;3. Division of Mechanics and Computation, Stanford University, Palo Alto, CA 94305, USA;1. Karlsruhe Institute of Technology (KIT), Institute of Engineering Mechanics (Continuum Mechanics), Kaiserstraße 12, 76131 Karlsruhe, Germany;2. Mines ParisTech, Centre des Matériaux, CNRS UMR 7633 BP 87, 91003 Evry Cedex, France;1. Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, China;2. Beijing Key Laboratory of Lightweight Multi-functional Composite Materials and Structures, Beijing Institute of Technology, Beijing 100081, China;3. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Abstract:A finite deformation theory of mechanism-based strain gradient (MSG) plasticity is developed in this paper based on the Taylor dislocation model. The theory ensures the proper decomposition of deformation in order to exclude the volumetric deformation from the strain gradient tensor since the latter represents the density of geometrically necessary dislocations. The solution for a thin cylinder under large torsion is obtained. The numerical method is used to investigate the finite deformation crack tip field in MSG plasticity. It is established that the stress level around a crack tip in MSG plasticity is significantly higher than its counterpart (i.e. HRR field) in classical plasticity.
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