Abstract
In this paper, the conformal mapping method was adopted to solve the problem of an infinite plate containing a central lip-shaped crack subjected to remote biaxial loading. A kind of leaf-shaped configuration was also constructed in order to solve the problem. The analytical result showed that the singularity order of the stress field at the tip of a lip-shaped crack remains -1/2, despite the difference in notch-crack width.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Baskes, M.I. (1975). A simplified prediction of K IC from tensile data. Engineering Fracture Mechanics 7, 249-251.
Bowie, O.L. (1956). Analysis of an infinite plate containing radial cracks originating from the boundary of an internal circular hole. Journal of Mathematical Physics 35, 60-71.
Hong, Y.S., Miller, K.J. and Brown, M.W. (1991). Complex stress functions and plastic zone sizes for notch cracks subjected to various loading conditions. Fatigue & Fracture of Engineering Materials & Structures 14, 237-258.
Hui, Y. and Ruida, A. (1995). Why K? Higher-order singularities and small-scale yielding. International Journal of Fracture 72, 97-120.
Irwin, G.R. (1957). Analysis of stresses and strains near the end of a crack traversing a plate. Journal of Applied Mechanics 24, 361-364.
Muskhelishvili, N.I. (1954). Some Basic Problems of the Mathematical Theory of Elasticity, 4th edn. Noordhoff, Groningen.
Prakash, V., Freund, L.B. and Clifton, R.L. (1992). Stress wave radiation from a crack tip during dynamic initiation. Journal of Applied Mechanics 59, 356-365.
Schijve, J. (1982). The stress intensity factor of small cracks at notches. Fatigue & Fracture of Engineering Materials & Structures 5, 77-90.
Wang, Y.S. and Wang, D. (1992). Moving dislocation model of propagating self-similar interface crack. International Journal of Fracture 54, 9-14.
Williams, M.L. (1952). Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of Applied Mechanics 19, 526-528.
Williams, M.L. (1957). On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics 24, 109-114.
Xiao, S.T., Brown, M.W. and Miller, K.J. (1985). Stress intensity factor for cracks in notched finite plates subjected to biaxial loading. Fatigue & Fracture of Engineering Materials & Structures 8, 349-372.
Zhao, Y.P. (1996). The advances of studies on the dynamic initiation of cracks. Advances in Mechanics 26, 362-378. (In Chinese).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Qiao, Y., Hong, Y. Singularity Characteristics for a Lip-Shaped Crack Subjected to Remote Biaxial Loading. International Journal of Fracture 96, 203–214 (1999). https://doi.org/10.1023/A:1018735721419
Issue Date:
DOI: https://doi.org/10.1023/A:1018735721419