论文标题
影响引起的从损伤到穿孔的过渡
Impact induced transition from damage to perforation
论文作者
论文摘要
我们调查了影响的损伤和骨折的损伤和骨折的异质材料标本的骨折,该标本的重点是系统如何随着影响能量的逐渐增加而接近穿孔。构建了一个简单的模型,该模型代表了栏,作为两个刚性块,与局部强度无序的易碎界面相结合。钢筋在两端夹紧,裂缝过程是由撞击器撞到中间的杆的。我们的计算表明,根据赋予能量的不同,该系统具有两个阶段:在低冲击能量下,钢筋损坏但保持其完整性,而在足够高的能量下,发生了完全的穿孔。我们证明,从损伤到穿孔的过渡发生类似于连续的相变。从下方接近临界点,界面的完整比例为零,而钢筋的变形速率则根据功率定律作为距离临界能量的距离的函数。随着无序程度的增加,关键指数与零疾病的同一物体一致,但是,较高指数发生了交叉发生的临界点。
We investigate the impact induced damage and fracture of a bar shaped specimen of heterogeneous materials focusing on how the system approaches perforation as the impact energy is gradually increased. A simple model is constructed which represents the bar as two rigid blocks coupled by a breakable interface with disordered local strength. The bar is clamped at the two ends and the fracture process is initiated by an impactor hitting the bar in the middle. Our calculations revealed that depending on the imparted energy, the system has two phases: at low impact energies the bar suffers damage but keeps its integrity, while at sufficiently high energies, complete perforation occurs. We demonstrate that the transition from damage to perforation occurs analogous to continuous phase transitions. Approaching the critical point from below, the intact fraction of the interface goes to zero, while the deformation rate of the bar diverges according to power laws as function of the distance from the critical energy. As the degree of disorder increases, further from the transition point the critical exponents agree with their zero disorder counterparts, however, close to the critical point a crossover occurs to a higher exponent.