Hyper singular integral equation method for a circular crack in the brazed joint with a circular interface
In this paper, brazing structure with annular tube containing circular crack has been analyzed. The fundamental solution of elasticity on a bi-material plane with the circular interface subjected to the radial and circular unit concentrated force, the stress and displacement about the circular crack are derived by use of Bettis reciprocal theorem, geometric relationship and Hookers law. Considering the stress boundary conditions of the problem, the hyper singular integral equations to describe the circular crack in bi-material with circular interface are derived, in which the unknown functions are the displacement discontinuities on the crack surface. The basic solutions are obtained through complex calculation under the condition of the interface of large radius. When the r is sufficiently large, the calculated results by the present method are consistent with those published in references for the link crack parallel to the interface.
Brazed joint Bi-material Circular crack Hyper singular integral equation Stress intensity factor
Chunwei Ma Ding Ma Peiquan Xu
Sch. of Mater. Eng., Shanghai Univ. of Eng Sci. Shanghai 201620, China Sch. of Mater.Eng., Shanghai Univ. of Eng Sci. Shanghai 201620, China Sch. of Mater. Eng., Shanghai Univ.of Eng Sci. Shanghai 201620, China
国际会议
2012 International Symposium on Structural Integrity 2012国际结构完整性学术研讨会 ISSI 2012
济南
英文
263-267
2012-10-31(万方平台首次上网日期,不代表论文的发表时间)