由材料可压缩性及爆轰驱动的相关假设,根据质量、动量守恒导出可压介质运动微分方程,并将聚心爆轰的平面泰勒波近似与粉体受压状态方程相结合,得到爆轰产物流场与粉体收缩运动的耦合关系式,使运动微分方程明确且可解.应用该方程式计算聚心爆轰驱动下多孔铜粉的单、双管压实过程,所得速度、平均密度时程曲线分别与文献报道的结果吻合良好,且由于位移时程曲线由速度导出,有理由认为其是符合物理实际的.通过对比计算结果可知,双管压实装置中外管具有明显的聚能效应,在相同装药比下能实现更高压力,使烧结体具有更高的压实密度;另外,实验结果还显示双管结构配合中心杆能有效避免马赫孔及扩大可烧结尺寸,因而双管烧结设计更优.
According to the material compressed conditions and the hypothesis of detonation drive, and based on the conservation of mass and momentum, the motion differential equation of compressible powder was obtained. Combined with the planar Taylor wave and the equation of state of powder, the coupling relationship between the convergent flow filed and the shrinking of powders can be gained, and then the copper powder explosive consolidation was calculated. The results indicate that the velocity and average density history curves agree with the reported reference values. It was convincing that the displacement history curve is satisfied with physical fact because the displacement history curve is derived from the velocity. By comparison, it can be known that in double-tubes, the pressure is higher at the same ratio of explosive mass because the external tube is performed as shape charge, so the density is higher. Besides, the experiment results show that the equipment of double-tubes fits with central pole can avoid the Mach pores and enlarge the size of the sintered body. As a conclusion, the double-tubes design is better.
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