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<p>The reflection, transmission, and scaling effects caused by cross-section variations significantly challenge the experimental design and data processing in split Hopkinson pressure bar tests. To overcome these limitations, this study combines experimental investigation with theoretical calculations to establish a unified theoretical framework for the propagation of stress waves in discrete/continuous variable cross-section bars. Comparative analysis reveals that the discrete variable cross-section theory (DVCT) exhibits broader applicability than the continuous variable cross-section theory. Building upon this foundation, the extended discrete variable cross-section theory (EDVCT) also accurately models viscoelastic bar wave propagation by accounting for viscous attenuation, geometric dispersion, and constitutive viscous dispersion. Notably, fusiform bars achieve superior anti-spalling performance attributable to the optimized stress-energy-dispersive mechanisms. Finally, experimental validation demonstrates the EDVCT's effectiveness as a unified solution applicable to both discrete and continuous variable cross-section bars. These findings provide critical theoretical guidance for dynamic mechanical property testing of materials, anti-spalling bar design, buffer landing gear, automotive crashworthiness, stress wave collectors, and wave scaling devices.</p>

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Theoretical unification of stress wave propagation in discrete/continuous variable cross-section bars

  • 期刊论文

  • 发表日期：

    2025年10月7日

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  • Xumeng Ren,
  • Yiqi Mao,
  • Wenyang Liu,
  • Shujuan Hou

摘要

The reflection, transmission, and scaling effects caused by cross-section variations significantly challenge the experimental design and data processing in split Hopkinson pressure bar tests. To overcome these limitations, this study combines experimental investigation with theoretical calculations to establish a unified theoretical framework for the propagation of stress waves in discrete/continuous variable cross-section bars. Comparative analysis reveals that the discrete variable cross-section theory (DVCT) exhibits broader applicability than the continuous variable cross-section theory. Building upon this foundation, the extended discrete variable cross-section theory (EDVCT) also accurately models viscoelastic bar wave propagation by accounting for viscous attenuation, geometric dispersion, and constitutive viscous dispersion. Notably, fusiform bars achieve superior anti-spalling performance attributable to the optimized stress-energy-dispersive mechanisms. Finally, experimental validation demonstrates the EDVCT's effectiveness as a unified solution applicable to both discrete and continuous variable cross-section bars. These findings provide critical theoretical guidance for dynamic mechanical property testing of materials, anti-spalling bar design, buffer landing gear, automotive crashworthiness, stress wave collectors, and wave scaling devices.