航空学报 > 1992, Vol. 13 Issue (11): 619-626

尖端具有非线性吸附接触的界面裂纹的动态特性研究

周振功1, 邹振祝1, 马兴瑞1, 王铎1, 段祝平2   

  1. 1. 哈尔滨工业大学 哈尔滨 150006;2. 中科院力学研究所 北京 100080
  • 收稿日期:1991-10-14 修回日期:1992-04-12 出版日期:1992-11-25 发布日期:1992-11-25

RESEARCH ON DYNAMIC FEATURES BY AN INTERFACE CRACK WITH NON-LINEAR ADHERENT CONTACT AT ITS TIPS

Zhou Zhen-gong1, Zou Zhen-zhu1, Ma Xing-rui1, Wang Duo1, Duan Zhu-ping2   

  1. 1. P.O.Box333, Hatbin Institute of Technology, Harbin, 150006;2. Institute of Mechanics, Academia Sinica, Beijing, 100080
  • Received:1991-10-14 Revised:1992-04-12 Online:1992-11-25 Published:1992-11-25

摘要: 研究一类尖端具有非线性吸附接触型裂纹模型的弹性波散射问题。利用积分变换和积分方程方法推导了确定这类问题基本变量的奇异积分方程组,采用围道积分技术和切比雪夫多项式展开技术得到了待定系数的非线性代数方程组。最后给出了裂纹尖端接触区的大小和接触应力的数值结果,揭示了这种接触型裂纹模型的动力学特征及物理上的合理性。

关键词: 界面裂纹, 弹性波散射, 积分方程

Abstract: In this paper, scattering of elastic waves by an interface crack with adherent contact at its tips is considered. By use of integral transform and integral equation methods, the singular integral equations of this problem are derived, which are transformed into a set of algebraic equations by means of contour integral and Chebyshev polynomials extending techniques. The numerical results on contacting region and stresses amplitudes are given in this paper, which show that the dynamic features of this model are complicated, and this model is physically reasonable.

Key words: interface crack, elastic wave scattering, integral equation