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Combined stress waves with phase transition in thin-walled tubes

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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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Authors and Affiliations

  1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230027, P. R. China

    Qing-zheng Song  (宋卿争) & Zhi-ping Tang  (唐志平)

  2. Key Laboratory for Mechanical Behavior and Design of Materials, Chinese Academy of Sciences, Beijing, P. R. China

    Qing-zheng Song  (宋卿争) & Zhi-ping Tang  (唐志平)

Authors
  1. Qing-zheng Song  (宋卿争)
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  2. Zhi-ping Tang  (唐志平)
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Correspondence to Qing-zheng Song  (宋卿争).

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Project supported by the National Natural Science Foundation of China (No. 11072240)

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Song, Qz., Tang, Zp. Combined stress waves with phase transition in thin-walled tubes. Appl. Math. Mech.-Engl. Ed. 35, 285–296 (2014). https://doi.org/10.1007/s10483-014-1791-7

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  • DOI: https://doi.org/10.1007/s10483-014-1791-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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