Stress intensity factors for cracks emanating from rectangular cutouts

International Journal of Fracture Mechanics - Tập 6 - Trang 393-400 - 1970
D. M. Neal1
1Army Materials and Mechanics Research Center, USA

Tóm tắt

The stress intensity factors are determined at the crack roots for a rectangular cutout with symmetric edge cracks in an infinite sheet under uniaxial tension. The stress analysis is carried out using conformal mapping and the Muskhelishvili formulation. Numerical results are obtained for varying crack length and selected length-to-width ratios for the rectangle. The stress intensity factors are compared to those for a single internal crack to illustrate the influence of the cutout effects.

Tài liệu tham khảo

N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff, Ltd., Groningen, Groningen, Holland, 1953. G. R. Irwin, Analysis of Stress and Strains Near The End of a Crack Traversing Plate, Journal of Applied Mechanics, 24, 3 (1957), 3 O. L. Bowie, Crack Stresses: An Application of Muskhelishvili's Extension Principle for Multivalued Mapping Functions. Army Materials and Mechanics Research Center, WAL TR, 811.8/4, March 1963. E. Jahnke and F. Emde, Tables of Functions with Formulae and Curves. Dover Publications, 1945. O. L. Bowie, Rectangular Tensile Sheet with Edge Cracks. Journal of Applied Mechanics, 31, 2 (1964); Army Materials and Mechanics Research Center, AMRA TR 63-22, October 1963. N. I. Muskhelishvili, Mathematische Annalen, 107 (1932–1933) 282–312.