Summary
A semi-infinite plate with an oblique edge crack is analyzed as a thin plate bending problem and a plane elastic problem. The rational mapping function of the sum of fractional expressions and the complex variable method are used. Closed solutions are obtained for these respective problems. Stress distributions, stress intensity factors are investigated for loads causing transverse bending, twisting and uniform tension. The relations between the stress intensity factors and the angle of the oblique edge crack are also investigated.
Übersicht
Eine halbunendliche Platte mit schrägem Anriß wird als Platten- und Scheiben-Problem analysiert. Es werden die Abbildungsfunktionen als die Summe von Partialbruchzerlegungen und die Methode komplexer Veränderlicher zur Analyse verwendet. Damit lassen sich geschlossene Lösungen ausrechnen. Die Lastfälle Querbiegung, Torsion und gleichförmiger Zug werden bezüglich Spannungsverteilung und Spannungsintensitätsfaktor untersucht. Der Zusammenhang zwischen Spannungsintensitätsfaktor und Winkellage des Anrisses wird hergestellt.
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References
Sih, G. C. (ed.): Plates and Shells with Cracks. Leyden, Netherlands 1977
Sih, G. C.: Handbook of Stress Intensity Factors. Lehigh Univ. 1973
Khrapkov, A. A.: The First Basic Problem for a Notch at the Apex of an Infinite Wedge. Int. Jour. Fracture Mech. 7 (1971) No. 4, 373–382
Nisitani, H.: Stress Intensity Factor for the Tension of a Semi-Infinite Plate Having an Oblique or a Bent Edge Crack. JSME 41 (1975) No. 344, 1103–1111
Isida, M.: Tension of a Half Plane Containing Array Cracks, Branched Cracks and Cracks Emanating from Sharp Notches. JSME 45 (1979) No. 392, 306–317
Freese, C. E.: Methods of Analysis and Solutions of Crack Problems. In [1] p. 41–42
Murakami, Y.: Application of the Body Force Method to the Calculation of Stress Intensity Factors for a Crack in the Arbitrarily Shaped Plate. Eng. Fracture Mech. 10 (1978), 497–513
Hasebe, N.; Horiuchi, Y.: Stress Analysis for a Strip with Semi-Elliptical Notches or Cracks on Both Sides by Means of Rational Mapping Function. Ing.-Arch. 47 (1978), 169–179
Hasebe, N.: Bending of Strip with Semielliptic Notches or Cracks. ASCE, 104 (1978) No. EM6, 1433–1450.
Hasebe, N.; Iida, J.: A Crack Originating from a Triangular Notch on a Rim of a Semi-Infinite Plate under Transverse Bending. Eng. Fracture Mech. 11 (1979) No. 4, 645–652
Savin, G. N.: Stress Concentration Around Holes. Ist ed., Oxford 1961
Muskhelishvili, N. I.: Some Basic Problems of the Mathematical Theory of Elasticity. 4th ed., Netherlands, 1963
Sih, G. C.; Paris, P. C.; Erdogan, F.: Crack-Tip, Stress-Intensity Factors for Plane Extension and Plate Bending Problems. J. Appl. Mech. 29 (1962) No. 2, 306–312
Isida, M.: Plates and Shells with Cracks (Chap. 1) In [1] p. 4
Hartranft, R. J.; Sih, G. C.: Methods of Analysis and Solutions of Crack Problems (Chap. 4). In [1] p. 185
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Hasebe, N., Inohara, S. Stress analysis of a semi-infinite plate with an oblique edge crack. Ing. arch 49, 51–62 (1980). https://doi.org/10.1007/BF00536598
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DOI: https://doi.org/10.1007/BF00536598