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Crystal plasticity based analysis of localized necking in aluminum tube under internal pressure
Authors:Y Shi  PD Wu  DJ Lloyd  JD Embury
Institution:1. Novelis Global Technology Centre, Kingston, Ontario K7L 5L9, Canada;2. Department of Mechanical Engineering, McMaster University, Hamilton, Ontario L8S 4L7, Canada;3. Department of Materials Science and Engineering, McMaster University, Hamilton, Ontario L8S 4L7, Canada;1. School of Automobile, Chang’an University, Xian 710064, PR China;2. State Key Laboratory of Automotive Safety and Energy, Department of Automotive Engineering, Tsinghua University, Beijing 100084, PR China;1. Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Ave. West, Waterloo N2L 3G1, Canada;2. College of Advanced Interdisciplinary Studies, National University of Defense Technology, 137 Yanwachizhengjie Street, Changsha, Hunan 410073, China;3. Department of Systems Design Engineering, University of Waterloo, 200 University Ave. West, Waterloo N2L 3G1, Canada;1. UNC-Charlotte, 9201 University City Boulevard, Charlotte, NC, 28223-0001, USA;2. Department of Mathematics, George Mason University, Fairfax, VA 22030-4444, USA
Abstract:The finite element method is used to numerically simulate localized necking in aluminum alloy tube under internal pressure. The measured electron backscatter diffraction (EBSD) data are directly incorporated into the finite element model and the constitutive response at an integration point is described by the single crystal plasticity theory. The tube is assumed sufficiently long, so that length changes as well as the end effects can be ignored and a plane strain analysis can be performed. Localized necking is assumed to be associated with surface instability, the onset of unstable thinning. It is demonstrated that such a surface instability/necking is the natural outcome of the present approach, and an artificial initial imperfection required by other approaches is not necessary in the present analysis. The effects of spatial grain orientation distribution, material strain rate sensitivity, work hardening, and initial surface topography on necking are discussed. It is found that localized necking depends strongly on both the initial texture and its spatial orientation distribution, while the initial surface topography has a negligible effect on necking.
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