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Thermomechanical behavior of shape memory alloy under complex loading conditions
Affiliation:1. Department of Mechanical Engineering, Mie University, 1515 Kamihama, Tsu 514, Japan;2. Institute of Physics, Czech Academy of Sciences, Na Slovance 2, Prague 8, Czech Republic;1. Institute of Materials Science and Engineering, Lanzhou University, Lanzhou 730000, China;2. School of Physical Science and Technology, Lanzhou University, China;1. Fachgebiet Massivbau und Baukonstruktion, Technische Universität Kaiserslautern, Paul-Ehrlich-Straße, D-67663 Kaiserslautern, Germany;2. Department of Architecture, Built Environment and Construction Engineering, Politecnico di Milano, Piazza Leonardo Da Vinci 32, 20133 Milan, Italy;1. Paderborn University, Chair of Automotive Lightweight Design, Warburger Str. 100, 33098 Paderborn, Germany;2. University of Kassel, Institute for Materials Engineering – Metallic Materials, Mönchebergstr. 3, 34125 Kassel, Germany;1. Department of Materials Science and Engineering, Monash University, Clayton, VIC 3800, Australia;2. Monash Centre for Additive Manufacturing (MCAM), 11 Normanby Road, Nottinghill, VIC 3168, Australia;3. University of Kassel, Institute of Materials Engineering – Metallic Materials, Moenchebergstrasse 3, 34125 Kassel, Germany;4. RMIT Centre for Additive Manufacturing, School of Engineering, RMIT University, Melbourne, Australia;1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China;2. College of Aviation Engineering, Civil Aviation Flight University of China, Guanghan 618307, China;1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China;2. Institute of Applied Mechanics, State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China
Abstract:The thermo-mechanical behavior of polycrystalline shape memory alloy (SMA) under multi-axial loading with varying temperature conditions has been studied by experiments. Recently the research has been extended theoretically and a mechanical model of polycrystalline SMA and the corresponding mesoscopic constitutive equations have been developed. The model presented in this paper is constructed on the basis of the crystal plasticity and the deformation mechanism of SMA. The variants in the crystal grains and the orientations of crystal grains in the polycrystal are considered in the proposed model; the constitutive equations are derived on the basis of the proposed model. The volume fraction of the martensite variants in the transformation process and the influence of the stress state on the transformation process are also considered. Some calculated results obtained by the constitutive equations are presented and compared with the experimental results. It is found that the deformation behavior of SMA under complex loading conditions can be well reproduced by the calculation of the constitutive equations.
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