| 金属射流失稳断裂的理论分析 |
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| 引用本文： | 石艺娜,秦承森.金属射流失稳断裂的理论分析[J].力学学报,2009,41(3):361. |
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| 作者姓名： | 石艺娜 秦承森 |
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| 作者单位： | 北京应用物理与计算数学研究所 北京应用物理与计算数学研究所 |
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| 基金项目： | 中国工程物理研究院科学技术发展基金重点项目(2007A09001);;国家自然科学基金和中国工程物理研究院联合基金重点项目(10676120)资助.~~ |
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| 摘 要： | 基于Hamilton原理，提出一个包含射流强度、剪切、应变率效应、动力学黏性、表面张力和
速度梯度等多因素耦合的金属射流拉伸运动方程，具体分析了各种失稳因素，并由
数值解定量给出其影响大小，以及最不稳定波长与初始应变率乘积
\lambda_{m}\dot{\varepsilon}_{0} 值的变化范围；给出了射流断裂的时间判
据和近似理论公式，计算得到的 t_{b}-\dot{\varepsilon}_{0}
曲线与射流实验点、Chou\&Carleone拟合公式三者符合较好.
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| 关 键 词： | 金属拉伸射流 运动方程 失稳因素 最不稳定波长 断裂时间 |
| 收稿时间： | 2007-09-12 |
INSTABILITY AND BREAKUP OF STRETCHING METALLIC JETS |
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| Shi Yina
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Qin Chengsen.INSTABILITY AND BREAKUP OF STRETCHING METALLIC JETS[J].chinese journal of theoretical and applied mechanics,2009,41(3):361. |
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| Authors: | Shi Yina Qin Chengsen |
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| Institution: | 2;Institute of Applied Physics and Computational Mathematics;Beijing 100088;China |
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| Abstract: | Based on the Hamilton principle, a coupled motion equation
of stretching metallic shaped-charge jet is presented to study the effects
of yield strength, shear, strain rate, viscosity, surface tension force and
velocity gradient on the jet instability, and the results are
quantitatively discussed. The value range of
non-dimensional \lambda _m \dot {\varepsilon }_0 was obtained to
illustrate the product of the wavelength in unstablest solution and initial
strain rate. Furthermore, the criterion and approximate theoretical formula
of jet breakup time are presented. The theoretical results were in fairly
good agreement with the jet experimental data and those from the method
developed by Chou and Carleone. |
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| Keywords: | stretching metallic jet motion equation instability factor critical wavelength break-up time |
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