Inertia-sensitive impact energy-absorbing structures part II: Effect of strain rate |
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| Affiliation: | 1. Department of Mechanical Engineering, UMIST, Manchester M60 1QD, U.K;2. Department of Mechanics, Peking University, Beijing 100871, China;1. Université Bretagne Loire, GeM, Institut de Recherche en Génie Civil et Mécanique, CNRS UMR 6183/Université de Nantes/École Centrale Nantes, 2 rue de la Houssinière BP 92208, 44322 Nantes Cedex 3, France;2. DCNS Ingénierie Sous-Marins, Avenue Choiseul, CS 80001, 56311 Lorient Cedex, France;1. Department of Civil Engineering, The University of Akron, Akron, OH 44321, USA;2. Air Force Research Laboratory, 2941 Hobson Way, WPAFB, OH 45433, USA;3. University of Dayton Research Institute, 300 College Park, Dayton, OH 45469, USA;1. PDPM-Indian Institute of Information Technology, Design and Manufacturing, Airport Road, Khamaria, Jabalpur 482 005, India;2. CSIR-Advanced Materials and Processes Research Institute, Bhopal 462 026, India;3. Department of Applied Mechanics, Visvesvaraya National Institute of Technology, South Ambazari Road, Nagpur 440 010, India;1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;2. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;3. Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK |
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| Abstract: | By employing the elastic-plastic structural model introduced in part I 1], which contains four compressible bars and four elastic-plastic “hinges” of finite length, the entire dynamic deformation history of Type II structures is traced. In contrast to part I, strain-rate effects are incorporated into the analysis throughout the entire response of the structure. The Cowper-Symonds relation is adopted and the yield stress varies with the current strain-rate during the dynamic response of the model. The numerical examples presented show that the strain-rate effect plays an equally important role to that of inertia on the dynamic behaviour of this kind of energy-absorbing structure if the material of the structure is rate-sensitive, e.g. made of mild steel. Compared with the corresponding quantities in the quasi-static case, the combined effects of strain-rate and inertia make the peak load much higher and the final displacement much smaller. It is also found that because the increase of the yield stress due to strain-rate sensitivity expands the range of elastic deformation, the elastic strain energy stored in the structure made of rate-dependent material is notably larger than that in the structure made of rate-independent material. This implies that when strain-rate effects are taken into account in the analysis, elasticity must play a more significant role and should not be neglected. |
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