Adiabatic shearing of non-homogeneous thermoviscoplastic materials |
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| Affiliation: | 1. Mechanical Engineering Department, National Institute of Technology, Warangal-506 004, Andhrapradesh, India;2. Advanced Materials and Processes Research Institute (CSIR, New Delhi), Bhopal-462 026, India;3. SOM, National Institute of Technology, Warangal-506 004, Andhrapradesh, India;1. Key Laboratory for RC and PRC Structures of Education Ministry, School of Civil Engineering, Southeast University, No. 2 Sipailou, Nanjing, Jiangsu 210096, China;2. School of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, China;3. Shanghai HRE Energy Co., Ltd., Shanghai 201300, China;4. Key Laboratory of Ministryof Education for Geomechanics and Embankment Engineering, Geotechnical Research Institute, Hohai University, 1 Xikang Road, Nanjing, 210098, China;1. Ångström Tribomaterials group, Uppsala University, Box 534, 751 21 Uppsala, Sweden;2. MAN Diesel & Turbo, Teglholmsgade 41, DK-2450 Copenhagen SV, Denmark;1. Eurobios, 61 avenue du président Wilson, 94235 Cachan, France;2. CMLA, ENS Paris-Saclay, CNRS, Université Paris-Saclay, 94230 Cachan, France;3. HPL Consulting, 4 rue du fer à cheval, 78100 Saint-Germain-en-Laye, France;4. RTE-R&D, Immeuble Window, 7C place du dôme, 92073 Paris La Défense, France;1. School of Mechanical, Materials and Mechatronic Engineering, University of Wollongong, Wollongong, NSW 2522, Australia;2. School of Materials and Metallurgy, University of Science and Technology Liaoning, Anshan 114051, China;3. School of Electrical, Mechanical and Mechatronic Systems, University of Technology, Sydney, NSW 2007, Australia |
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| Abstract: | ![]()
In this work we present the role of material non-homogeneities, driven by position-dependent thermomechanical parameters on the emergence, evolution and localization of temperature and strain non-uniformities during the shearing of thermoviscoplastic materials of the rate type. We first present the solution of the quasistatic approximation and show the existence of two stages: the first is characterized by a possible “travelling” of non-uniformities, due to non-homogeneities, while in the second the non-uniformities localize and increase at regions with intense heterogeneities. Moreover, we show that, even under stability conditions, the non-uniformities increase at material regions with inhomogeneities, which affect both their spatial distribution and time evolution. The related strain non-uniformities in the form of shear banding, as well as the comparison with the non-uniformities caused by initial defects or temperature gradient, are presented. Finally, numerical results confirm the analytical findings. |
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