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Propagation of combined longitudinal and torsional stress waves in a functionally graded thin-walled tube

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Abstract

An analytical model for the propagation of combined stress waves in a functionally graded thin-walled tube subjected to combined longitudinal and torsional impact loading is established. The material properties of the tube are assumed to be continuously graded along the length according to a power law function with respect to the volume fractions of the constituents. The generalized characteristic theory is used to analyze the main features of the characteristic wave speeds and simple wave solutions in the functionally graded thin-walled tube. The finite difference method is used to discretize the governing equations. Two types of typical solutions are obtained for the functionally graded tube and the homogeneous tube subjected to combined longitudinal and torsional step loading. The numerical results reveal some abnormal phenomena in the stress path and wave process of the functionally graded thin-walled tube.

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Authors and Affiliations

  1. CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230027, China

    Shitang Cui

  2. Institute of Plasma Physics, Chinese Academy of Sciences, Hefei, 230031, China

    Xiaojun Ni

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  1. Shitang Cui
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Correspondence to Xiaojun Ni.

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Citation: CUI, S. T. and NI, X. J. Propagation of combined longitudinal and torsional stress waves in a functionally graded thin-walled tube. Applied Mathematics and Mechanics (English Edition), 42(12), 1717–1732 (2021) https://doi.org/10.1007/s10483-021-2805-6

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Cui, S., Ni, X. Propagation of combined longitudinal and torsional stress waves in a functionally graded thin-walled tube. Appl. Math. Mech.-Engl. Ed. 42, 1717–1732 (2021). https://doi.org/10.1007/s10483-021-2805-6

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  • DOI: https://doi.org/10.1007/s10483-021-2805-6

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