Abstract
The problem of a semi-infinite strip containing an edge crack is considered. It is assumed that the strip is loaded by a frictionless rigid wedge pressed into the crack. The resulting crack-contact problem is formulated in terms of a system of singular integral equations. The behavior of the solution near the singular points is studied in detail. A series of numerical examples is given and the results are compared with those obtained by the method of boundary collocation and by the simple beam theory.
Résumé
Le problème d'une tôle mince semi-infinie contenant une fissure latérale est considérée. On suppose que le feuillard est soumis à une charge par un coin rigide et sans friction appliqué dans la fissure. On formule le problème du contact de fissure qui en résulte en termes d'un système d'équations intégrales singulières. Le comportement de la solution correspondant aux points singuliers est étudié dans le détail. Une série d'exemples numériques est fournies et les résultats sont comparés avec ceux obtenus par la méthode de collocation des frontières et par la théorie simple des poutres.
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References
O.L. Bowie, Methods of Analysis and Solutions of Crack Problems, G.C. Sih, ed., Noordhoff Int. Publ., Leyden (1973) 1–55.
B. Gross and J.E. Srawley, “Stress Intensity Factors by Boundary Collocation for Single-Edge-Notch Specimens Subject to Splitting Forces”, NASA TND-3295 (1966).
J.C. Newman, Jr., “An Improved Method of Collocation for the Stress Analysis of Cracked Plates with Various Shaped Boundaries”, NASA TH D-6376, Langley Research Center (1971).
W.K. Wilson, Methods of Analysis and Solutions of Crack Problems, G.C. Sih, ed., Noordhoff Int. Publ., Leyden (1973) 484–515.
F. Erdogan and K. Arin, Journal of Elasticity, 6 (1976) 57–71.
F. Erdogan and K. Arin, Journal of Elasticity, 6 (1976) 261–275.
I.N. Sneddon and M. Lowengrub, Crack Problems in the Classical Theory of Elasticity, John Wiley & Sons, New York (1969).
G.D. Gupta and F. Erdogan, Journal of Applied Mechanics, 41, Trans. ASME (1974) 1001–1006.
F. Erdogan and G.D. Gupta, Quarterly of Applied Math., 30 (1972) 525–534.
A. Erdelyi, ed., Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York (1953).
N.I. Muskhelishvili, Singular Integral Equations, Noordhoff, Groningen, The Netherlands (1953).
ASTM Standard Method of Test E-399, Plane Strain Fracture Toughness of Metallic Materials, 1977 Annual Book of ASTM Standards, Part 10 (1977) 505.
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This work was supported by NASA-Langley under the Grant NGR 39-007-011 and by NSF under the Grant ENG 77-19127.
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Erdogan, F., Terada, H. Wedge loading of a semi-infinite strip with an edge crack. Int J Fract 14, 399–415 (1978). https://doi.org/10.1007/BF00015992
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DOI: https://doi.org/10.1007/BF00015992