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含电饱和区的压电双材料反平面界面Yoffe型运动裂纹问题研究 被引量:1

On the Problem of Yoffe-Type Moving Anti-Plane Interfacial Crack of Piezoelectric Bi-Materialwith the Electric Saturation Zone
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摘要 本文利用Fourier变换及Copson求解方法,得到了压电双材料中Yoffe型运动裂纹在裂纹尖端含有条状电饱和区条件下的相关解析解.结果表明电饱和尺寸只与电荷载有关,而与裂纹扩展速度无关;裂纹尖端的应力强度因子及电势跳变不仅与荷载及材料参数有关,而且还受到速度的影响,其中应力强度因子随着速度的增大而增大,而电势跳变随着速度的变化呈现递减趋势. The analytical solutions of the Yoffe-type moving crack along the interface between piezoelectric bi-materials with strip-like electrical saturation are obtained by using the Fourier transform and the method of Copson. The results show that the size of the electric saturation only depends on the electric load but has nothing to do with the velocity of crack. The stress intensity factor and potential jump at the tip of crack are related to the loads and the material parameters as well as the crack velocity, the stress intensity factor increases with the increase of velocity while the potential jump decreases with the change of velocity.
作者 吴琼 万永平
出处 《力学季刊》 CSCD 北大核心 2017年第4期693-702,共10页 Chinese Quarterly of Mechanics
基金 国家自然科学基金(11372227) 高等学校博士点基金(20130072110037)
关键词 压电双材料 Yoffe型裂纹 电饱和区 对偶积分方程 FOURIER变换 piezoelectric bi-material Yoffe-type crack electric saturation zone dual integralequation Fourier transform
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