Stress concentration factor expression for tension strip with eccentric elliptical hole

Abstract

Two explicit expressions of the stress concentration factor for a tension finite-width strip with a central elliptical hole and an eccentric elliptical hole, respectively, are formulated by using a semi-analytical and semi-empirical method. Accuracy of the results obtained from these expressions is better, and application scope is wider, than the results of Durelli's photo-elastic experiment and Isida's formula. When eccentricity of the elliptical hole is within a certain range, the error is less than 8%. Based on the relation between the stress concentration factor and the stress intensity factor, a stress intensity factor expression for tension strips with a center or an eccentric crack is derived with the obtained stress concentration factor expressions. Compared with the existing formulae and the finite element analysis, this stress intensity factor expression also has sufficient accuracy.

On the use of the peak stress method to assess the linear elastic and the fatigue notch factors of notched components under tension

“…Although advanced computational technologies have made it possible to calculate K t for any notch geometry, approximate methods and expressions providing a rapid evaluation of this parameter remain very useful in the engineering practice. This is the reason why, over the last decades, many authors devoted their efforts to determine K t for several notched geometries and loading conditions (Nisitani and Noda, Kato, Noda et al , Noda and Takase, Zappalorto et al , Luo et al ).…”

Stresses around an eccentric hole in an infinite strip subjected to in-plane bending

“…Therefore, it is crucially important to know the stresses around the defects in engineering design (Savin, 1960, Nakahara et al, 2001. Until now, the stress concentration problems of a strip with a hole or an inclusion have been addressed by many researchers (e.g., Howland, 1930, Ishida, 1953, Ling, 1957, Itou, 1976, Theotokoglou et al, 1986, Lee et al, 1992, Horibe et al, 2008, Luo 2012. The stress concentration factor tends to increase when an elastic body have an asymmetrically, or, eccentrically located defect.…”

“…Thus, the stress concentration caused by the eccentric defect must also be clarified to retain the sufficient strength. Few researchers (Tsuchida et al 1976, Tsuchida et al, 1978, Kawakami et al, 1980, Kawakami et al, 1981, Horibe et al, 2007, Luo et al, 2012 have discussed for these problems since eccentricity makes the analysis more complicated. Such asymmetric problems are practically important ones in engineering design and further analysis is expected.…”

Mutual Influence of Collinear Surface Cracks and a Circular Hole in the Isotropic Plate

“…Shells and plates with holes and through cracks of various types were investigated in [1,2,[6][7][8][9][10][11]13]. For the solution of the three-dimensional problem of surface cracks in the plate, Rice and Levy [14] proposed an approximate approach, namely, the so-called line-spring model, which enables one to consider the problem in the two-dimensional statement.…”