SHPB试验中不同加载升时应力平衡时间对波阻抗比的敏感性

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摘要为研究分离式Hopkinson压杆(SHPB)试验中不同加载升时试件应力平衡时间对波阻抗比变化的敏感性，将矩形波、梯形波、坡形波等典型的入射加载波形统一表达为具有不同前沿升时的梯形波形式。利用一维应力波理论，分析入射加载弹性应力波在试件中的传播过程，推导出具有任意前沿升时的梯形波入射加载情况下试件内沿加载方向应力分布的相关计算公式。计算得出不同试件–压杆波阻抗比的试件，在不同前沿升时的梯形波入射加载情况下，试件应力平衡时间变化曲线和应力均匀性变化时程曲线，分析入射加载的前沿升时和试件–压杆波阻抗比等有关参数对试件应力平衡时间和应力均匀性的影响规律，得到了一些较为有益的结论，为指导SHPB试验的方案设计和进行有关分析提供理论依据。

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关键词 ：固体力学, 一维应力波, 应力平衡时间, 应力均匀性, 加载升时, 波阻抗比, 分离式Hopkinson压杆(SHPB)

Abstract：Rectangular wave，trapezoidal wave and sloping wave were expressed as trapezoidal wave with different rising times to analyze the sensitivity of time for stress equilibrium to wave impedance ratio in split Hopkinson pressure bar(SHPB) tests. Based on one-dimensional stress wave theory，propagation of incident stress wave in specimen，was analyzed and related calculation formulas for stress distribution along loading direction were obtained under trapezoidal wave with different rising times. Variation curves of time for stress equilibrium and stress uniformity were calculated under trapezoidal wave with different rising times and different specimen-bar wave impedance ratios. Several trapezoidal wave parameters affecting time for stress equilibrium and stress uniformity，such as rising time and specimen-bar wave impedance ratio，were studied；and some useful conclusions were also obtained. Research results can provide a theoretical basis for SHPB experimental designs and related analyses.

Key words： solid mechanics one-dimensional stress wave time for stress equilibrium stress uniformity rising time for loading wave impedance ratio split Hopkinson pressure bar(SHPB)

收稿日期: 2012-12-31

引用本文:

平琦1，2，马芹永1，2，袁璞1. SHPB试验中不同加载升时应力平衡时间对波阻抗比的敏感性[J]. 岩石力学与工程学报, 2013, 32(10): 2128-2134.
PING Qi1，2，MA Qinyong1，2，YUAN Pu1. SENSITIVITY OF TIME FOR STRESS EQUILIBRIUM TO WAVE IMPEDANCE RATIO WITH DIFFERENT RISING TIMES IN SHPB TESTS. , 2013, 32(10): 2128-2134.

链接本文:

http://www.rockmech.org/CN/Y2013/V32/I10/2128

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