摘要
建立并研究一类接触型界面裂纹模型对瞬态弹性波作用下的动态响应问题。文中利用积分变换和积分方程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。最后给出了裂纹尖端接触区大小和接触应力随时间变化的数值结果,揭示了这种接触裂纹的动力学特性及物理上的合理性。
In this paper, A kind of crack model of adhesional contact at its tips is built and dynamic responseof transient elastic waves by this crack model is considered. By use of integral transform and intesralequation methods, the singular integral equations of this problem are derived , which are transformedinto a set of algebraic equations by means of contour integral and Chebyshev polynomials extendingtechniques. The numerical results on adhesive region and stress amplitudes are given in this paper,which show that the dynamic feature of this model is complicated and this model is physically reason-able.
出处
《应用力学学报》
CAS
CSCD
北大核心
1995年第3期38-44,共7页
Chinese Journal of Applied Mechanics
关键词
界面裂纹
积分方程
弹性波散射
动态响应
interface crack, elastic wave scattering, integral equation.