关于任意边界缺口或裂纹群的一类解法——(Ⅳ)深度缺口或裂纹群的计算*
On a Class of Method for Solving Problems with Random Boundary Notches and/or Cracks-(IV) Computations for Deep Boundary Notches and/or Cracks
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摘要: 本文是欧阳鬯所作文[1]研究任意边界缺口或裂纹群问题的一类解法的继续(亦见[2]、[3])。这里我们利用该文作出的基本方法,进一步发展了关于边界深度裂纹或缺陷群问题的计算方法。数值计算实例表明,本文所给出的方法是行之有效的。本文结果拓充了“应力强度因子手册”的工作。Abstract: This paper continues the discussions to a class of method for solving problems with random boundary notches and/or cracks in references by C. Ouyang in [1] (See also [2] and [3]). Using the basic met hod given in this reference as well as some further developments. We develop here a new effective computational method for solving random deep boundary notches and/or cracks. The actual numerical computations given in this paper show that the present method is quite workable and the results obtained have enlarged the contents of "Handbook of Stress Intensity Factors" given by G. C. Sih.
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[1] 欧阳曾.应用数学和力学,1, 2(1980). 156 [2] 欧阳鲁、朱涵,应用数学和力学,5, 2, (1984). 153 [3] 欧阳曾、朱涵,应用数学和力学,6, 8(1985). 671-680. [4] 斯米尔谱夫,《高等数学教程》,Vol,3,No2. -
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