脆性裂纹动态传播中的速度振荡现象和理论分析

张振亚; 段忠; 周风华

doi:10.6052/0459-1879-13-056

脆性裂纹动态传播中的速度振荡现象和理论分析

doi: 10.6052/0459-1879-13-056

宁波大学教育部冲击与安全工程重点实验室, 宁波 315211

基金项目: 教育部博士点基金(20123305110005); 非线性力学国家重点实验室开放基金资助项目和宁波大学王宽诚幸福基金资助项目.

详细信息

通讯作者:
周风华,教授,主要研究方向:冲击动力学和断裂力学.E-mail:fzhou@nbu.edu.cn

中图分类号: O346.1
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出版历程
- 收稿日期: 2013-03-05
- 修回日期: 2013-07-01
- 刊出日期: 2013-09-18

EXPERIMENTAL AND THEORETICAL INVESTIGATIONS ON THE VELOCITY OSCILLATIONS OF DYNAMIC CRACK PROPAGATING IN BRITTLE MATERIAL TENSION

MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo 315211, China

Funds: The project was supported by the Ministry of Education (MOE) Foundation for PhD Supervisors (20123305110005), the Opening Fund of State Key Laboratory of Nonlinear Mechanics, and the Ningbo University K. C. Wong Magna Fund.

摘要

摘要: 设计了一种精确测量裂纹在预拉伸带板中的传播速度的实验装置, 系统研究了裂纹在受不同预加载荷作用的不同尺寸的有机玻璃板中的传播行为.实验结果表明:在一个细长、上下表面固定的带板中, 裂纹速度分为加速和稳定2个阶段.在稳定速度阶段, 裂纹平均速度v₀ 是预加载荷在板中储存的弹性能Wh的增函数.由于此时裂纹处于自相似传播阶段, 可以认为材料的动态断裂能G_c是裂纹传播速度v₀的增函数, 即材料存在"速度增韧性".当裂纹传播速度达到一定阈值, 裂纹的传播速度出现明显的振荡现象, 裂纹的振荡周期与断裂面出现的周期性沟槽的尺度一致.在更高的预加能量下, 裂纹传播路径出现弯曲、微分岔以及宏观分岔现象.建立了一个描述裂纹在带板中的直线传播行为的动力学模型, 并用这个模型模拟裂纹在传播过程中的速度振荡现象.
- 有机玻璃板 /
- 动态裂纹传播 /
- 动态断裂能 /
- 速度振荡
Abstract: To study the propagating behavior of a dynamic crack in brittle material, an experimental technique was developed to measure the propagation speed of a fast crack in a preloaded brittle polymethylmethacrylate (PMMA) strip. The experimental results show that for each preloaded strip, the crack arrives at a steady velocity v₀ after a short acceleration stage, when the crack propagation is self-similar. The steady propagation velocity was found to be an increasing function of the energy G_c stored in the preloaded strip, which means that the material has a "speed toughening" property. When the crack speed exceeds a threshold, the crack speed exhibits apparent oscillations. This crack speed oscillation corresponds to the microscopic periodic grooves on the fractured surface. Further increase of the pre-stored elastic energy results in the curving, micro-branching, and full bifurcations of the cracks. Based on the energy conservation theory, a dynamic model is established to describe the motion of the crack. This motion equation is used to explain the crack speed oscillations during propagations.
- PMMA /
- dynamic crack propagation /
- dynamic fracture Energy /
- speed oscillation

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参考文献(22)

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脆性裂纹动态传播中的速度振荡现象和理论分析

doi: 10.6052/0459-1879-13-056

通讯作者:
周风华,教授,主要研究方向:冲击动力学和断裂力学.E-mail:fzhou@nbu.edu.cn

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EXPERIMENTAL AND THEORETICAL INVESTIGATIONS ON THE VELOCITY OSCILLATIONS OF DYNAMIC CRACK PROPAGATING IN BRITTLE MATERIAL TENSION

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脆性裂纹动态传播中的速度振荡现象和理论分析

doi: 10.6052/0459-1879-13-056

通讯作者: 周风华,教授,主要研究方向:冲击动力学和断裂力学.E-mail:fzhou@nbu.edu.cn

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EXPERIMENTAL AND THEORETICAL INVESTIGATIONS ON THE VELOCITY OSCILLATIONS OF DYNAMIC CRACK PROPAGATING IN BRITTLE MATERIAL TENSION

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通讯作者:
周风华,教授,主要研究方向:冲击动力学和断裂力学.E-mail:fzhou@nbu.edu.cn