Institute of Industrial Science, the University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan.
Sci Rep. 2017 Feb 10;7:42305. doi: 10.1038/srep42305.
Experiments of crack propagation in rubbers have shown that a discontinuous jump of crack propagation velocity can occur as energy release rate increases, which is known as the "mode transition" phenomenon. Although it is believed that the mode transition is strongly related to the mechanical properties, the nature of the mode transition had not been revealed. In this study, dynamic crack propagation on an elastomer was investigated using the finite element method (FEM) with a hyperviscoelastic material model. A series of pure shear test was carried out numerically with FEM simulations and crack velocities were measured under various values of tensile strain. As a result, our FEM simulations successfully reproduced the mode transition. The success of realising the mode transition phenomenon by a simple FEM model, which was achieved for the first time ever, helped to explain that the phenomenon occurs owing to a characteristic non-monotonic temporal development of principal stress near the crack tip.
橡胶中裂纹扩展的实验表明,当能量释放率增加时,裂纹扩展速度会发生不连续的跳跃,这被称为“模式转变”现象。尽管人们认为模式转变与力学性能密切相关,但模式转变的本质尚未揭示。在这项研究中,使用具有超弹性材料模型的有限元方法(FEM)研究了弹性体上的动态裂纹扩展。通过数值 FEM 模拟进行了一系列纯剪切试验,并在各种拉伸应变下测量了裂纹速度。结果,我们的 FEM 模拟成功地再现了模式转变。首次通过简单的 FEM 模型实现模式转变现象的成功,有助于解释该现象是由于裂纹尖端附近主应力的特征非单调时间发展引起的。