The propagation of shock waves in anisotropic materials |
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Authors: | AA Luk’yanov VB Pen’kov |
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Institution: | 1. George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405, USA;2. Impact Physics Branch, RDRL-WMP-C, US Army Research Laboratory, Aberdeen Proving Ground, MD 21005-5066, USA;3. School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405, USA;1. School of Mechanical and Manufacturing Engineering, UNSW Australia (The University of New South Wales), Sydney, NSW 2052, Australia;2. Key Laboratory of Special Purpose Equipment and Advanced Processing Technology at Zhejiang University of Technology, Ministry of Education, Hangzhou 310014, China;3. School of Engineering, Griffith University (Gold Coast Campus), Parklands Drive, Southport, QLD 4214, Australia;1. Tianjin Key Lab of Advanced Joining Technology, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, China;2. Tianjin Key Laboratory of Composite and Functional Materials, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, China;3. Tianjin Key Lab of Advanced Joining Technology, School of Materials Science and Engineering, Tianjin University, Tianjin 300350, China;1. Depart. Mechatronic Engineering, Bozok University, Yozgat, Turkey;2. Depart. Electric & Electronic Engineering, Bozok University, Yozgat, Turkey;3. Depart. Electromechanical Engineering, University of Beira Interior, Covilhã, Portugal;4. CEMUC, Depart. Mechanical Engineering, University of Coimbra, Coimbra, Portugal |
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Abstract: | The propagation of shock waves in anisotropic materials (aluminium alloys), the state of which obeys a non-linear relation, which generalizes Grüneisen's equation for isotropic materials, is investigated. The concept of total generalized pressure and the pressure corresponding to the thermodynamic response is proposed. A modification of the anisotropic Hill criterion in the case of non-associated plastic flow, for which the yield surface is independent of the generalized hydrostatic stress, is considered. |
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