关于集中载荷作用下不同材料界面的共线裂纹问题
Problems on Collinear Cracks between Bonded Dissimilar Materials under Concentrated Loads
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摘要: 本文继文[6]之后,研究在集中力和集中力偶作用下不同材料界面的共线裂纹问题.得到了几个典型的复应力函数封闭解,算出了应力强度因子.本文解答的若干特殊情形,与前人成果吻合.通过比较还发现了以往文献[3]、[4]在研究含无限长裂纹一类问题中的错误.Abstract: Following Ref. [6], this paper deals with the problem on collinear cracks between bonded dissimilar materials under a concentrated force and moment at an arbitrary point. Several typical solutions of complex stress functions in closed form are formulated and the stress intensity factors are given. These solutions include a series of results of previous researchers, and redress some errors in the researches of problems containing semi-infinite cracks[3][4].
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[1] 樊大钧,《数学弹性力学》,新时代出版社(1983), 374. [2] Мусхелишвили Н.И.,《数学弹性力学的几个基不问题》,科学出版社(1958). [3] Erdogan, F., On the stress distribution in plates with collinear cuts under arbitrary loads, Proceedings of the 4-th U.S. National Congress of Applied Mechanics, Vol. 1 (1962). [4] Erdogan, F., Stress distribution in a nonhomogeneous elastic plane with cracks, J. Appl. Mech., 30 (1963), 232-236. [5] Loeber, J.F. and G.C. Sih, Green's function for cracks in nonhomogeneous materials, J. Appl. Mech., 34 (1967), 240-243. [6] 刘又文、蒋持平,在集中力和集中力偶作用下不同弹性材料圆形界面的裂纹问题,应用数学和力学.8.3(1987).267-276.
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