摘要
本文研究一类粘着型界面裂纹模型的弹性波散射问题。文中利用积分变换和积分方程方法推导了确定这类问题的奇异积分方程组,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。最后本文给出了裂纹尖端粘着区的大小和粘着应力的数值结果,其结果揭示了这种粘着型裂纹的动力学特性和物理上的合理性。
Scattering of elastic waves by an interface crack with adhesive contact near its tips is considered in this paper. By use of integral transform and integral equation,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 expanding techniques. The numerical results on contacting region and stresses amplitudes near the crack tips are given in this paper. These results show that the dynamic features of this model are complicated and this model is physically reasonable.
出处
《地震工程与工程振动》
CSCD
北大核心
1993年第2期75-83,共9页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金
中科院力学研究所非线性连续介质力学开放研究实验室资助
