Abstract
The problem of an edge crack in a semi-infinite plane of linear elastic orthotropic material is studied. The correction factor which relates the stress intensity factor for this problem to that for an isolated crack in an infinite body is evaluated for a range of orthotropic material properties. Calculations are restricted to mode I problems. The method requires the numerical solution of an integral equation, the integrands in which are derived from related complex variable solutions.
Resumé
On étudie le problème d'une fissure de bord dans un plan semi-infini en un matériau linéaire eĺastique et orthotrope. On évalue pour une gamme de propriétés orthotropes du matériau le facteur de correction qui permet de relier le facteur d'intensité de contraintes relatif à ce problème à celui relatif à une fissure isolée dans un corps infini. Ces calculs sont limités aux problèmes de rupture selon le mode. I. La méthode exige de trouver la solution numérique d'une intégrale dont les intégrants sont tirés de solutions associées à variables complexes.
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References
W.T. Koiter, Journal of Applied Mechanics 32 Transations of the ASME E 87 (1965) 237.
G.R. Irwin. The crack-extension force for a crack at a free surface boundary, Naval Research Laboratory, Washington DC, USA NRL Report 5120 (1958).
M.P. Stallybrass, International Journal of Engineering Science 9 (1971) 25.
I.N. Sneddon and S.C. Das, International Journal of Engineering Science 9 (1971) 25.
S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, Inc., San Francisco, USA (1963).
C.F. Gerald, Applied Numerical Analysis, Addison-Wesley, London, UK (1978).
C.H. Love, Abscissae and Weights for Gaussian Quadrature, National Bureau of Standards, Monograph 98 (1966).
J.M. Whitney, I.M. Daniel and R.B. Pipes, Experimental Mechanics of Fibre Reinforced Composite Material, The Society for Experimental Stress Analysis, Prentice-Hall Inc., New Jersey, USA (1982).
D. Hull, An Introduction to Composite Materials, Cambridge University Press, UK (1981).
I.M. Ward, Mechanical Properties of Solid Polymers, Wiley, New York, USA (1983).
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Sweeney, J. The stress intensity for an edge crack in a semi-infinite orthotropic body. Int J Fract 37, 233–241 (1988). https://doi.org/10.1007/BF00045865
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DOI: https://doi.org/10.1007/BF00045865