Wittel F, Kun F, Herrmann H J, Kröplin B H
Institute of Statics and Dynamics of Aerospace Structures, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany.
Phys Rev Lett. 2004 Jul 16;93(3):035504. doi: 10.1103/PhysRevLett.93.035504.
We present a theoretical and experimental study of the fragmentation of closed thin shells made of a disordered brittle material. Experiments were performed on brown and white hen egg shells under two different loading conditions: impact with a hard wall and explosion by a combustible mixture. Both give rise to power law fragment size distributions. A three-dimensional discrete element model of shells is worked out. Based on simulations of the model, we give evidence that power law fragment mass distributions arise due to an underlying phase transition which proved to be abrupt for explosion and continuous for impact. We demonstrate that the fragmentation of closed shells defines a new universality class of fragmentation phenomena.
我们对由无序脆性材料制成的封闭薄壳的破碎进行了理论和实验研究。在两种不同加载条件下对棕色和白色鸡蛋壳进行了实验：与硬壁碰撞以及可燃混合物爆炸。两者都产生了幂律碎片尺寸分布。建立了壳的三维离散元模型。基于该模型的模拟，我们证明幂律碎片质量分布是由于潜在的相变产生的，事实证明爆炸时相变是突然的，而碰撞时是连续的。我们表明封闭壳的破碎定义了一种新的破碎现象普适类。
