| Combined stress waves with phase transition in thin-walled tubes简 |
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| 引用本文： | 宋卿争,唐志平.Combined stress waves with phase transition in thin-walled tubes简[J].应用数学和力学(英文版),2014,35(3):285-296. |
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| 作者姓名： | 宋卿争 唐志平 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(No.11072240) |
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| 摘 要： | The incremental constitutive relation and governing equations with combined stresses for phase transition wave propagation in a thin-walled tube are established based on the phase transition criterion considering both the hydrostatic pressure and the deviatoric stress. It is found that the centers of the initial and subsequent phase transition ellipses are shifted along the σ-axis in the στ-plane due to the tension-compression asymmetry induced by the hydrostatic pressure. The wave solution offers the "fast" and "slow" phase transition waves under combined longitudinal and torsional stresses in the phase transition region. The results show some new stress paths and wave structures in a thin-walled tube with phase transition, differing from those of conventional elastic-plastic materials.
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Combined stress waves with phase transition in thin-walled tubes |
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| Qing-zheng Song,Zhi-ping Tang.Combined stress waves with phase transition in thin-walled tubes[J].Applied Mathematics and Mechanics(English Edition),2014,35(3):285-296. |
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| Authors: | Qing-zheng Song Zhi-ping Tang |
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| Institution: | 1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230027, P. R. China
2. Key Laboratory for Mechanical Behavior and Design of Materials, Chinese Academy of Sciences, Beijing, P. R. China
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| Abstract: | The incremental constitutive relation and governing equations with combined stresses for phase transition wave propagation in a thin-walled tube are established based on the phase transition criterion considering both the hydrostatic pressure and the deviatoric stress. It is found that the centers of the initial and subsequent phase transition ellipses are shifted along the σ-axis in the στ-plane due to the tension-compression asymmetry induced by the hydrostatic pressure. The wave solution offers the “fast” and “slow” phase transition waves under combined longitudinal and torsional stresses in the phase transition region. The results show some new stress paths and wave structures in a thin-walled tube with phase transition, differing from those of conventional elastic-plastic materials. |
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| Keywords: | combined stress phase transition wave thin-walled tube shape memory alloy(SMA) |
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