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Abstract <p>The Taylor rod impact theory can calculate the dynamic yield strength of the projectile by measuring its length after the test. However, in theoretical analysis, the material of the projectile is assumed to be an ideal rigid-plastic material, where the elastic modulus tends to infinity. In reality, the elastic modulus of materials is finite, which, from the perspective of stress wave propagation, inevitably introduces errors into the results of the Taylor theory. Therefore, to qualitatively investigate the effect of elastic wave propagation on the calculation results of the Taylor rod impact theory, numerical simulations of the impact process were carried out using the Abaqus finite element analysis software. The results indicate that when the projectile material is modeled as an ideal elastic-plastic material, the dynamic yield strength calculated by the Taylor theory increases and approaches the real value as the elastic modulus increases. On the other hand, as the density increases, the dynamic yield strength calculated by the Taylor theory decreases and stabilizes, with the Taylor theory calculation becoming more accurate as the density decreases. When the elastic modulus and density change proportionally, maintaining a fixed wave speed for the elastic waves in the projectile, the dynamic yield strength calculated by the Taylor theory remains nearly constant. Therefore, the wave speed of the elastic wave is one of the main factors influencing the Taylor rod impact theory. By varying the length-to-diameter ratio of the projectile, it was found that the calculation error of the Taylor rod impact theory is minimized when the length-to-diameter ratio of the projectile is 3. Thus, when designing a Taylor rod impact experiment, the length-to-diameter ratio of the cylindrical projectile can be set to 3. Additionally, it can be concluded that the yield strength value calculated using the Taylor rod impact theory is smaller than the actual value because the momentum conservation equation does not account for the radial expansion rate of the projectile during plastic deformation.</p>

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Analysis of the Accuracy of Taylor Impact Theory Considering Elastic Wave Effects

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Wencheng Lu,
  • Yiding Wu,
  • Minghui Ma,
  • Yilei Yu,
  • Guangfa Gao

摘要

Abstract

The Taylor rod impact theory can calculate the dynamic yield strength of the projectile by measuring its length after the test. However, in theoretical analysis, the material of the projectile is assumed to be an ideal rigid-plastic material, where the elastic modulus tends to infinity. In reality, the elastic modulus of materials is finite, which, from the perspective of stress wave propagation, inevitably introduces errors into the results of the Taylor theory. Therefore, to qualitatively investigate the effect of elastic wave propagation on the calculation results of the Taylor rod impact theory, numerical simulations of the impact process were carried out using the Abaqus finite element analysis software. The results indicate that when the projectile material is modeled as an ideal elastic-plastic material, the dynamic yield strength calculated by the Taylor theory increases and approaches the real value as the elastic modulus increases. On the other hand, as the density increases, the dynamic yield strength calculated by the Taylor theory decreases and stabilizes, with the Taylor theory calculation becoming more accurate as the density decreases. When the elastic modulus and density change proportionally, maintaining a fixed wave speed for the elastic waves in the projectile, the dynamic yield strength calculated by the Taylor theory remains nearly constant. Therefore, the wave speed of the elastic wave is one of the main factors influencing the Taylor rod impact theory. By varying the length-to-diameter ratio of the projectile, it was found that the calculation error of the Taylor rod impact theory is minimized when the length-to-diameter ratio of the projectile is 3. Thus, when designing a Taylor rod impact experiment, the length-to-diameter ratio of the cylindrical projectile can be set to 3. Additionally, it can be concluded that the yield strength value calculated using the Taylor rod impact theory is smaller than the actual value because the momentum conservation equation does not account for the radial expansion rate of the projectile during plastic deformation.