加劲空心圆柱的径向裂纹分析*
An Analysis of a Radial Crack in a Reinforced Hollow Cylinder
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摘要: 本文结合使用Michell环形域级数解及单裂纹解,导出了外边界被加劲的空心圆柱的径向裂纹积分方程,进而分析了加劲薄膜对裂纹应力强度因子的影响。文中给出了若干数值计算结果。Abstract: Using the Michell solution and the crack solution, the integral equation of a radial crack in a hollow cylinder reinfcreed on its outer boundary is derived. The effects of the reinforced membrane on the crack are analysed and several numerical results arc presented herein.
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[1] Tang Ren-ji(汤任基) and F.Erdogan,Stress intensity factors in a reinforced thick-walled cylinder,Int.J.Engng.Sci.22,7(1984). [2] Little,R.W.,Elasticity,Prentice-Hall,New York(1973). [3] Delael,F.and F.Erdogan,Stress intensity factors in a hollow cylinder containing a radial crack,Int J.Frac.20,251(1982). [4] Tang Ren-ji and Wang Kai,On the Griffity crack whose surfaces are loaded asymmetrically,Engng.Frac.Mech.,16,1(1982). [5] Erdogan,F.,Mixed boundary-value problems in mechanics,Mechanics Today(Edited by S.Nemat-Nasser),4(1978) and 6(1981). [6] 汤任基、蒋往中,中心圆孔径向裂纹系分析,兰州大学学报,力学专号,1 (1979).
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