Stress computation in finite thermoviscoplasticity |
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| Institution: | 1. State Key Laboratory of Advanced Special Steels, Shanghai University, China;2. Shanghai University of Applied Mathematics and Mechanics, Yanchang Road 149, 200072 Shanghai, China;1. ENSTA-ParisTech, 828 Boulevard des Maréchaux, 91120 Palaiseau, France;2. Khalifa University of Science, Technology, and Research P.O. Box 127788, Abu Dhabi, United Arab Emirates;3. École Polytechnique-ParisTech 91128 Palaiseau Cedex, France;4. Northwestern Polytechnical University 127 Youyi West Rd, Xi׳an, Shaanxi 710072, China;1. School of Materials Science and Engineering, Southwest Jiaotong University, Chengdu 610031, Sichuan, China;2. Institute of Special Ceramics and Powder Metallurgy, School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | In this article, a constitutive theory in the framework of continuum thermomechanics is introduced to represent the viscoplastic behavior of metals at finite deformations. In particular, the experimentally observed thermomechanical coupling phenomena are described by the theory. The model is based on the assumption that the occurring viscoplastic deformations are isochoric.For the numerical integration of the constitutive theory, a backward Euler method is applied. As a matter of fact, the application of the original backward Euler scheme does not preserve the property of the viscoplastic deformations to be isochoric. A major topic of the present article is the development of an improved numerical integrator on the basis of the original backward Euler method, which preserves exactly the incompressibility of the occurring viscoplastic deformations. |
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