Numerical Analysis of the Spallation of Steel Target under Explosive Loading

Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (4): 383-402.

Numerical Analysis of the Spallation of Steel Target under Explosive Loading

朱兆祥, 李永池, 王肖钧

University of Science and Technology of China, Hefei

收稿日期:1980-07-05 出版日期:1981-07-18 发布日期:1981-07-18

Numerical Analysis of the Spallation of Steel Target under Explosive Loading

Chu Chao-hsiang, Li Yong-chi, Wang Xiao-jun

University of Science and Technology of China, Hefei

Received:1980-07-05 Online:1981-07-18 Published:1981-07-18

摘要/Abstract

摘要： A numerical analysis of the propagation of stress waves and the allied scabbing phenomena in a steel plate under explosive attack is made, by using a model of one-dimensional flow. The results are compared with our experimental results which were carried out several years ago. It is found that, in case the hydrodynamic-elastoplastic model for steel plate and the cumulative damage spall criterion are used, the calculated thickness of the major spall is in reasonable agreement with that obtained in the experiments. An approximate formula for the thickness of the major spall is presented and the "mica-splitting" phenomenon about the minor spalls observed in the experiments is satisfactorily explained.

关键词: nonlinear evolution equations, improved homogeneous balance method, exact analytical solution, solitary wave solution, rational solution

Abstract: A numerical analysis of the propagation of stress waves and the allied scabbing phenomena in a steel plate under explosive attack is made, by using a model of one-dimensional flow. The results are compared with our experimental results which were carried out several years ago. It is found that, in case the hydrodynamic-elastoplastic model for steel plate and the cumulative damage spall criterion are used, the calculated thickness of the major spall is in reasonable agreement with that obtained in the experiments. An approximate formula for the thickness of the major spall is presented and the "mica-splitting" phenomenon about the minor spalls observed in the experiments is satisfactorily explained.

Key words: nonlinear evolution equations, improved homogeneous balance method, exact analytical solution, solitary wave solution, rational solution

朱兆祥;李永池;王肖钧. Numerical Analysis of the Spallation of Steel Target under Explosive Loading[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(4): 383-402.

Chu Chao-hsiang;Li Yong-chi;Wang Xiao-jun. Numerical Analysis of the Spallation of Steel Target under Explosive Loading[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(4): 383-402.

参考文献

[1] Rinehart,J.S.,Some quantitative data bearing on the scabbing of metals under explosive attack,J.Appl.Phys.22(1951) 555.
[2] Whiteman,P.,Preliminary report on the effect of stress rate on the dynamic fracture of steel,Brass and Aluminium,AWRE-SWAN-10/61(1962).
[3] Skidmore,I.C.,Introduction to shock waves in solids,Appl.Mater.Res.4(1965) 131.
[4] Breed,B.R.et al,Technique for the determination of dynamic tensile strength characteristics,J.Appl.Phys.38(1967) 3271.
[5] Thurson,R.S.and Mudd,W.L.,Spallation Criteria for Numerical Computation,LA-4013(1968).
[6] Davison,L.,Stevens,A.L.,Continuum measures of spall damage,J.Appl.Phys.43(1972) 988.
[7] Butcher,B.M.,Barker,L.M.,Murson,D.L.and Lundergan,C.D.,Influeuce of stress history on time-dependent spall in metals,AIAA J.2(1964) 977.
[8] Tuler,F.R.and Butcher,B.M.,A criterion for the time-dependence of dynamic fracture,Inter.J.Fra.Mech.4(1968) 431.
[9] Seaman,S.,Fracture and fragmentation under shock loading,Shock and Vibration Computer Programs,ed.by Walter,et al.(1975) 563.
[10] Ke-Da,Dong-Ji,Preliminary report on the experiment or target spallation under statically explosive loading,(in Chinese),March(1977).
[11] Xu Bin et al,On the spallation of steel target under explosive attack,A Lecture delivered at the Chinese First Symposium on Mechanics of Explosion.Nov.(1977).
[12] Landau et al,Mechanics of Continuous Medium(Chinese Translation),People’s Education Press,(1960) 487.
[13] Mader,C.L.,Detonation Properties of Condensed Explosives Computed Using the BKW Equation of State,LA-2900(1963).
[14] Duan Zhu-ping et al,The experimental and theoretical study of the mechanical bebavior of metals under high strain rates,Progress of Mechanics(in Chinese).10(1980) 1-16.
[15] von Neumann,J.and Richtmyet,R.D.,A method of the numerical calculation of hydrodynamic Shocks,J.Appl,Phys.21(1950) 232.
[16] Wilkins,M.L.,Calculation of Elastic-Plastic Flow,LA-7322(rev.)(1969).
[17] Richtmyer,R.D.,Difference Methods for Inttial Volue Problems(Chinese Translation),Science Press(1966) 178.
[18] Mcqueen,R.G.,Marsh,S.P.,Ultimate yield strength of copper,J.Appl.Phys.33(1962) 654.

Numerical Analysis of the Spallation of Steel Target under Explosive Loading

Numerical Analysis of the Spallation of Steel Target under Explosive Loading

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 10

编辑推荐

Metrics

本文评价

[1]	Weiguo ZHANG, Siyu HONG, Xingqian LING, Wenxia LI. Influence of dissipation on solitary wave solution to generalized Boussinesq equation[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 477-498.
[2]	夏静娜;韩淑霞;王明亮. THE EXACT SOLITARY WAVE SOLUTIONS FOR THE KLEIN-GORDON-SCHRDINGER EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(1): 58-64.
[3]	闫振亚;张鸿庆. STUDY ON EXACT ANALYTICAL SOLUTIONS FOR TWO SYSTEMS OF NONLINEAR EVOLUTION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(8): 925-934.
[4]	夏铁成;张鸿庆;闫振亚. NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 788-793.
[5]	刘式适;付遵涛;刘式达;赵强. A SIMPLE FAST METHOD IN FINDING PARTICULAR SOLUTIONS OF SOME NONLINEAR PDE[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 326-331.
[6]	闫振亚;张鸿庆. ON A NEW ALGORITHM OF CONSTRUCTING SOLITARY WAVE SOLUTIONS FOR SYSTEMS OF NONLINEAR EVOLU-TION EQUATIONS IN MATHEMATICAL PHYSICS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(4): 383-388.
[7]	张解放. MULTI-SOLITARY WAVE SOLUTIONS FOR VARIANT BOUSSINESQ EQUATIONS AND KUPERSHMIDT EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 193-198.
[8]	范恩贵;张鸿庆. BACKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR WHITHAM-BROER-KAUP EQUATIONS IN SHALLOW WATER[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 713-716.
[9]	吕咸青. STABILITY OF THE KORTEWEG-DE VRIES SOLITARY WAVE SOLUTION[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(9): 885-886.
[10]	李笑萍;赵子刚. THE EXACT ANALYTICAL SOLUTIONS TO THE NEW MODEL OF RESERVOIR FILTRATION PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(7): 615-626.