岩石巴西圆盘动态劈裂的流形元法模拟

Numerical simulation on dynamic split of a rock Brazilian disc using the manifold method

1.
Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China;
2.
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China

摘要: 利用二阶流形元法，通过引入裂纹产生与扩展判据，对冲击载荷作用下岩石平台巴西圆盘的动态拉伸劈裂过程进行了数值模拟，再现拉伸波作用下圆盘被劈裂的过程。模拟现象与实验结果相符，动态平衡时的应力分布与有限元结果基本一致。从而验证了流形元在模拟冲击载荷作用下材料动态破坏过程的有效性和可行性。
- 爆炸力学 /
- 动态劈裂过程 /
- 流形元法 /
- 平台巴西圆盘 /
- 冲击载荷 /
- 数值模拟
Abstract: The second-order manifold method was used to simulate the dynamic tension split process of a flattened rock Brazilian disc subjected to shock loading through introducing a criteria for crack initiation and crack growth. The split process caused by a reflected tension stress wave was reproduced. The simulated phenomena are in good agreement with the experimental results. The dynamic equilibrium stress distribution also agrees with the calculated results by the finite element method. Researched results show that the manifold method is effective for the simulation of the dynamic failure process under shock loading.
- mechanics of explosion /
- process of dynamic split /
- manifold method /
- flattened Brazilian disc /
- shock loading /
- numerical simulation