论文标题
具有依赖速率断裂能的异质材料的有效韧性
Effective toughness of heterogeneous materials with rate-dependent fracture energy
论文作者
论文摘要
我们通过测量位移场作为破裂来通过定期受控裂缝能量的障碍物传播,通过测量位移场来研究异质材料的动态断裂。我们的测量结果证明了裂缝能量不连续性的经典运动方程的适用性:裂纹速度在障碍物的入口和退出处跳跃,如脆性断裂框架内的裂纹尖端能量平衡所预测的那样。速度跳跃幅度受断裂能的对比和介质的速率依赖性的结合,这使裂纹可以在恒定能量释放速率下交叉裂缝能量不连续性。这种不连续的动力学和速率依赖性会导致更高的有效韧性,从而控制了这些裂纹的粗粒度行为。
We investigate dynamic fracture of heterogeneous materials experimentally by measuring displacement fields as a rupture propagates through a periodic array of obstacles of controlled fracture energy. Our measurements demonstrate the applicability of the classical equation of motion of cracks at a discontinuity of fracture energy: the crack speed jumps at the entrance and exit of an obstacle, as predicted by the crack-tip energy balance within the brittle fracture framework. The speed jump amplitude is governed by the fracture energy contrast and by the combination of rate-dependency of fracture energy and inertia of the medium, which allows the crack to cross a fracture energy discontinuity at constant energy release rate. This discontinuous dynamics and the rate-dependence cause higher effective toughness, which governs the coarse-grained behavior of these cracks.