用Taylor试验估计样品的动态屈服应力

Q4 Mathematics
E.S. Rodionov, A.E. Mayer
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引用次数: 0

摘要

提出了一种利用改进的Taylor试验估算材料高速冲击动屈服应力的简单方法。在假设头部变形和应力均匀的前提下,推导出了根据头部减小长度、试样质量和冲击速度变化计算屈服应力和应变率的公式。通过与基于无氧冷轧铜位错塑性参数化模型的SPH方法数值计算结果的对比,验证了上述估计的正确性。结果表明,试样的停止时间和应变速率具有较好的再现精度,抗剪强度估计误差随冲击速度的增大而增大。在不导致试样大部分变形的速度下(在考虑的情况下高达90m /s),误差线性增加至30%,这可以通过校正因子考虑在内。将提出的估计考虑校正因子,用于分析以往的实验结果;所得值与文献中关于抗剪强度速率依赖性的数据相符。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ESTIMATION OF DYNAMIC YIELD STRESS BY TAYLOR TEST WITH REDUCED CYLINDRICAL HEAD PART OF SAMPLES
A simple method is proposed to estimate the dynamic yield stress of materials using modified Taylor tests for high-velocity impact of profiled cylinders with a reduced diameter of the head part. Assuming the uniformity of deformations and stresses in the head part, formulas are derived for estimating the yield stress and strain rate from the change in the length of the reduced head part, as well as the mass of the sample and the impact velocity. This estimation is verified by comparison with the results of numerical calculations by the SPH method based on the dislocation plasticity model parameterized for cold-rolled oxygen-free copper. It is shown that the stopping time of the sample and the strain rate are reproduced with good accuracy, and the shear strength estimate gives an error that increases with the impact velocity. At velocities that do not lead to deformation of a wide part of the sample (up to 90 m/s in the case under consideration), the error increases linearly up to 30%, which can be taken into account by a correction factor. The proposed estimate, taking into account the correction factor, was applied to analyze the results of previous experiments; the obtained values correspond to the literature data on the rate dependence of the shear strength.
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来源期刊
Chelyabinsk Physical and Mathematical Journal
Chelyabinsk Physical and Mathematical Journal Mathematics-Mathematics (all)
CiteScore
0.90
自引率
0.00%
发文量
11
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