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颗粒材料中致密波结构研究
引用本文:孙锦山,朱建士,贾祥瑞.颗粒材料中致密波结构研究[J].力学学报,1999,31(4):423-433.
作者姓名:孙锦山  朱建士  贾祥瑞
作者单位:北京应用物理与计算数学研究所
摘    要:采用一维两相流模型与相应颗粒构形应力函数,研究了致密波的形成及其结构.用简化两相流模型系统地讨论致密波对有关因素的依赖关系.分析指出:小于基体材料音速的致密波仅能在非理想颗粒材料中存在,从波前到波后,所有状态物理量光滑过渡.大于基体材料音速的致密波,波头可能存在间断.应力函数与致密粘性确定后,致密波速度决定致密波结构、宽度、终态压实度.采用一维两相流模型模拟了活塞驱动颗粒床形成致密波这一动态过程.用线方法(MOL)对该方程组求数值解.计算表明,经过短暂的非稳态过程,颗粒床中形成一稳态致密波.分析了活塞速度与初始孔隙率对致密波结构的影响,并对简化两相流模型与两相流模型的计算结果进行了对比.

关 键 词:致密波  冲击波压实  燃烧转爆轰

AN ANALYSIS OF COMPACTION WAVE IN GRANULAR MATERIAL
Sun Jinshan,Zhu Jianshi,Jia Xiangrui.AN ANALYSIS OF COMPACTION WAVE IN GRANULAR MATERIAL[J].chinese journal of theoretical and applied mechanics,1999,31(4):423-433.
Authors:Sun Jinshan  Zhu Jianshi  Jia Xiangrui
Institution:Sun Jinshan Zhu Jianshi Jia Xiangrui (Institute of Applied Physics & Computational Mathematics, Beijing100088, China)
Abstract:A one-dimensional, two-phase flow model and the intragranular stress function is used to describe the structure and its formation of compaction wave in granular material. The piston impact problem for a compressible porous solid has been solved using a simplified model neglecting gas phase effects. With this model, it is possible to obtain an solution for the compaction wave speed, final porosity, and final pressure. At low piston velocities, the compaction wave travels at speeds less than the ambient solid sound speed. The structure is characterized by a smooth rise in pressure from the ambient to a higher pressure. As the compaction wave travels at speeds greater than the ambient solid sound speed, a discontinuous shock preceeding the compaction wave structure is predicted. The simplified model result shows that subsonic compaction wave is a direct consequence of nonideal state effect, and there exists a shock preceeding the compaction wave for supersonic compaction wave, but no leading shock exists for subsonic wave.The dynamic compaction process of granular bed is simulated using two-phase flow model. A numerical technique of method-of-lines is used to solve the coupled multiphase flow equations. The space and time variation of pressure, volume fraction and particle speed are determined. From numerical analysis, a steady compaction wave following a short time transient is predicted in the porous bed. The structures of the compaction waves are also studied for various piston-impact velocity and initial volume fraction increasing the compaction wave speed, final pressure, final volume fraction and paticle speed will increase, but the compaction zone thickness will decrease.The results of simplified model and numerical analysis are compared for various piston-impact velocity and it is shown that the simplified model results are good approximation to the numerical results, so that the neglection of gas phase effects in the simplified model is reasonable.
Keywords:compaction wave  shock wave compacted  deflagration to detonation transition
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