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Applied Mathematics and Mechanics (English Edition) ›› 1980, Vol. 1 ›› Issue (3): 293-304.

• 论文 •    下一篇

On the Motion of Flying Plate under Explosive Attack

朱兆祥1, 蒋大和2   

  1. 1. Chinese University of Science and Technology, Hefei;
    2. The City University of New York, U. S. A.
  • 收稿日期:1980-04-08 出版日期:1980-09-18 发布日期:1980-09-18

On the Motion of Flying Plate under Explosive Attack

Chu Chao-hsiang1, Jiang Da-he2   

  1. 1. Chinese University of Science and Technology, Hefei;
    2. The City University of New York, U. S. A.
  • Received:1980-04-08 Online:1980-09-18 Published:1980-09-18

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摘要： The one-dimensional problem of the motion of a rigid flying plate under explosive attack has an analytic solution only when the polytropic index of detonation products equals to three. In general, a numerical analysis is required. In this paper, however, by utilizing the "weak" shock behavior of the reflection shock in the explosive products, and applying the small parameter pur-terbation method, an analytic, first-order approximate solution is obtained for the problem of flying plate driven by various high explosives with polytropic indices other than but nearly equal to three. Final velocities of flying plate obtained agree very well with numerical results by computers. Thus an analytic formula with two parameters of high explosive (i.e. detonation velocity and polytropic index) for estimation of the velocity of flying plate is established.

关键词: concrete, high temperature, thermo-hygro-mechanical (THM), damage model

Abstract: The one-dimensional problem of the motion of a rigid flying plate under explosive attack has an analytic solution only when the polytropic index of detonation products equals to three. In general, a numerical analysis is required. In this paper, however, by utilizing the "weak" shock behavior of the reflection shock in the explosive products, and applying the small parameter pur-terbation method, an analytic, first-order approximate solution is obtained for the problem of flying plate driven by various high explosives with polytropic indices other than but nearly equal to three. Final velocities of flying plate obtained agree very well with numerical results by computers. Thus an analytic formula with two parameters of high explosive (i.e. detonation velocity and polytropic index) for estimation of the velocity of flying plate is established.

Key words: concrete, high temperature, thermo-hygro-mechanical (THM), damage model

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