Thematerialpointmethodforshock-to-detonationtransitionof heterogeneoussolidexplosive
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摘要: 将点火增长方程引入到物质点法中,编制了相应的计算程序MPM-SDT,并求解了冲击起爆问题。 通过与传统算法和实验结果的比较,验证了物质点法应用于冲击起爆问题的可行性。物质点法避免了Lagrange 法的网格畸变缠结和Euler法的对流误差。最后,对钨、铜、钢等材料破片撞击屏蔽炸药问题进行了多 组数值模拟。3种材料对屏蔽炸药的引爆性能,钨最优,铜次之,钢最差;破片临界冲击起爆速度与屏蔽板厚 度近似呈线性关系。Abstract: Withtheignitionandgrowth model,thematerialpointmethod (MPM)computercode calledMPM-SDT wasdevelopedinFORTRAN90,and wasusedtocomputeshock-to-detonation transitionproblems.TheresultsobtainedbyMPM,traditionalalgorithmsandexperimentwerecompared. Thefeasibilityofusingthematerialpointmethodtosolveshock-to-detonationtransitionproblemswasconfirmed. MPMavoidsthemeshdistortionandtanglingissuesassociatedwithLagrangian methodsandtheadvectionerrorsassociatedwithEulerianmethods.Fragmentsofdifferentmaterial (steel,copper,tungsten,etc.)impactingshieldedexplosiveweresimulated.Theinitiationbehaviour oftungstenisthebest,copperisthesecond,andsteelistheworst.Thecriticaldetonatingvelocityis proportionaltothethicknessofshield.
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