Engineering Transactions, 22, 3, pp. 469-485, 1974

A Dynamic Problem of a Crack in a Plate Strip

G. Kuhn
Institute a for Mechanics, Munich Technological University, München

M. Matczyński
Institute a for Mechanics, Munich Technological University, Warszawa

In this paper discussed is the quasi-static problem of displacement and stress distribution in an infinite elastic strip containing a semi-infinite crack located in its middle plane. The crack is assumed to propagate at a constant velocity along the straight line lying in the middle plane of the strip. Using the integral Fourier transforms, the problem is reduced to a corresponding Wiener-Hopf equation. The value of the stress intensity factor at the tip of the crack is accurately determined. Numerical evaluation of the inverse Fourier transforms yields the distribution of stress and displacement components at an arbitrary point of the strip. The results are illustrated by graphs.

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W. G. KNAUSS, Stresses in an infinite strip containing a semi-infinite crack, J. Appl. Mech., 1966.

E. H. YOFFE, The moving Griffith crack, Phil. Mag., 42, 1951.

J. W. CRAGGS, On the propagation of a crack in an elastic-brittle material, J. Mech. Phys. Solids, 8, 1, 1960.

G.C. SIH, Mechanics of fracture (I), Methods of analysis and solutions of crack problems, Noordhoff International Publishing, Leyden 1973.

G. I. BARENBLATT, The mathematical theory of equilibrium cracks in brittle fracture, Adv. Appl. Mech., 7, 1954.

E. C. TITCHMARSH, Theory of Fourier integrals, Oxford Univ. Press, 1939.

B. NOBLE, Methods based on the Wiener-Hopf technique, Pergamon Press, London-New York- Paris, 1958.

W. T. KOITER, Approximate solutions of the Wiener-Hopf type integral equations with applications, Proc. Kon. Ned. Acad. Wet., 57, 2, 1964.

B. VAN DER POL, H. BREMMER, Operational calculus based on the two-sided Laplace integral, Cambridge 1950.

V. D. KULIEW, Stationary motion of a crack in d strip, PMM, 37, 3, 1973.