岩石I–II复合型裂纹动态扩展SHPB实验及数值模拟研究

doi:10.13722/j.cnki.jrme.2015.0010

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摘要为了研究I–II复合型裂纹动态扩展问题及裂纹止裂问题，侧开单裂纹半孔板(single cleavage semi circle compression，SCSCC)试样采用分离式霍普金森压杆(SHPB)实验系统进行冲击，完成SCSCC试样I–II复合型裂纹动态断裂实验，并针对实验进行数值分析，研究其扩展路径。为了验证数值模拟的可靠性，不仅进行有限尺寸中心裂纹板受冲击拉伸作用的动态有限差分法分析，而且在对SHPB实验进行数值分析后，将模拟监测点应变值与实验中入射杆应变片测得的应变值进行比较。结果表明：(1) 验证分析中应力强度因子结果与其他测试的结果比较吻合，同时，模拟监测点记录下的应变值与SHPB实验中入射杆应变片记录下的应变数据相比较，两者吻合程度很高，说明使用数值方法模拟SHPB实验的可行性；(2) 数值模拟的裂纹扩展路径与SHPB实验裂纹扩展路径基本吻合；(3) SCSCC试件在扩展过程中，裂纹尖端存在短暂停留现象，并最终朝着试件中轴线方向(最大应力区)移动；(4) SCSCC试件是一种便于研究裂纹动态扩展问题的构型，可以有效地求解不同复合程度的I–II复合型裂纹问题，为后续的止裂研究提供基础。

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关键词 ：岩石力学, 复合型动态断裂扩展, SHPB实验, Autodyn软件, 侧开单裂纹半孔板

Abstract：In order to investigate the problem of rock fracture propagation and arrest under mixed-mode I and II dynamic loading，single cleavage semi-circle compression(SCSCC) plate specimens of sandstone were subjected to dynamic impact by a split Hopkinson pressure bar(SHPB). Numerical simulations were used to study the fracture propagation path under mixed mode dynamic loading. In order to verify the reliability of the numerical simulation，dynamic finite difference analysis was applied to a finite plate with a central crack subjected to impact tension at the boundary. For the SHPB tests，the measured strain at the incident bar was compared with the strain obtained from the numerical simulation. The results show that：(1) The numerical model produced outcomes that are consistent with published results. The strain values at the incident bar from numerical simulations and experiments agree extremely well with each other，suggesting the feasibility of using numerical methods to model SHPB tests. (2) The crack propagation path from the numerical simulation agrees reasonably well with the SHPB test results. (3) During the fracture propagation in SCSCC specimens，the crack tip suffers some instantaneous arrests but eventually will propagate towards the central axis(maximum stress zone) of the specimen. (4) SCSCC specimens provide a suitable geometry to study dynamic rock fracture problems. They can be easily used for mixed-mode I and II loading conditions and will provide an effective tool for subsequent research on crack propagation arrest.

Key words： rock mechanics dynamic crack propagation split Hopkinson pressure bar test Autodyn software single cleavage semicircle compression SCSCC

引用本文:

王蒙，朱哲明，谢军. 岩石I–II复合型裂纹动态扩展SHPB实验及数值模拟研究[J]. 岩石力学与工程学报, 2015, 34(12): 2474-2485.
WANG Meng，ZHU Zheming，XIE Jun. EXPERIMENTAL AND NUMERICAL STUDIES OF THE MIXED-MODE I AND II CRACK PROPAGATION UNDER DYNAMIC LOADING USING SHPB. , 2015, 34(12): 2474-2485.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2015.0010 或 http://www.rockmech.org/CN/Y2015/V34/I12/2474

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