【摘要】 本文在工作和■的复函数法的基础上,对有限圆板上的径向裂纹系作了讨论,得到了单裂纹的基本解,并利用此解给出了解决这类问题的一般方法.为了说明方法的应用,这里使用奇异积分方程的数值解法和Gauss-Chebyshev 求积公式作了例题计算,数值结果绘制了函数图,它们指出了应力强度因子随裂纹几何和作用力变化的关系,这可供工程应用.更多还原

【Abstract】 In the present paper we make a study of the radial crack system on a finite circularplate based on the authors’own work[1]and N.I.Muskhelishvili’s complex potentialmethod[2].Fundamental solutions of stress for single crack are obtained.By means ofthese solutions we simultaneously give a general method for solving the above cracksystem.In order to illustrate the use of this method,we have calculated several examplesusing the numerical method of singular integral equations and the Gauss-Chebyshevintegration formulas[3].The numerical results are given in graphs which show thevariation of stress intensity factors with the inclined angles of the force and the geome-tric forms of cracks.The results obtained can be used for practice in engineering.更多还原