A pair of equal collinear interfacial cracks between bonded dissimilar fixed isotropic layers

• Autorzy: Das S.
• Języki publikacji: EN

Abstrakty

EN

The problem of a pair of equal collinear Griffith cracks propagating with constant velocity under antiplane shear stress at the interface of two bonded dissimilar fixed isotropic layers has been considered. The method of Fourier transforms is employed and the problem is reduced to the solution of a singular integral equation, which has finally been solved numerically by using Chebyshev polynomials. The stress intensity factors at the crack tips and the crack opening displacement have been calculated numerically for some particular cases and displayed graphically.

Słowa kluczowe

EN

Griffith crack; Fourier transform; integral equation; Hilbert transform; stress intensity factor; crack opening displacement

PL

inżynieria materiałowa; naprężenie; pęknięcie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2003
• Tom: Vol. 8, no 2
• Strony: 167--175
• Opis fizyczny: Bibliogr. 13 poz., wykr.

Twórcy

autor

Das S.

• Department of Mathematics B.P. Poddar Institute of Management and Technology Poddar Vihar, 137, V.I.P. Road Kolkata - 700 052, West Bengal, INDIA

Bibliografia

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• [2] Das S. and Debnath L. (1999): Interaction of elastic waves by an interfacial Griffith crack. - Computers and Mathematics with Applications, vol.38, pp. 151-158.
• [3] Dhaliwal R.S., He W. and Saxena H.S. (1992): A moving Griffith crack at the interface of two dissimilar elastic layers. - Engng. Fract. Mech., vol.43, pp.923-930.
• [4] Dhaliwal R.S., Saxena H.S. and Rokne J.G. (1992): Anti-planar shear problem for a crack between dissimilar nonhomogeneous isotropic elastic layers. - Engng. Fract. Mech., vol.42, pp.653-662.
• [5] Dhaliwal R.S. and Singh B.M. (1977): Crack at the interface of two bonded similar or dissimilar semi-infinite solids. - Proc. 14th Annual Meeting, Soc. of Engng. Sci., Lehigh Univ., PA, p.779.
• [6] Li X.F. (2001): Closed form solution for a mode - III interface crack between two bonded dissimilar elastic layers. - Int. J. Fracture, vol. 109, pp.L3-L8.
• [7] Lowengrub M. and Sneddon I.N. (1973): The stress field near a Griffith crack at the interface of two bonded dissimilar elastic half planes. - Int. J. Engng. Sci., vol.l 1, pp.1025-1036.
• [8] Rice J.R. and Sih G.C. (1965): Plane problems of cracks in dissimilar media. - J. Appl. Mech., vol.32, pp.418-427.
• [9] Singh B.M., Moodie T.B. and Haddow J.B. (1981): Closed form solutions for finite length crack moving in a strip under antiplane shear stress. - Acta Mechanica, vol.38, pp.99-109.
• [10] Srivastava R.N., Palaiya R.M. and Karaluia D.S. (1980): Interaction of antiplane shear waves by a Griffith crack at the interface of two bonded dissimilar elastic half spaces. - Int. J. Fract., vol. 16, pp.349-357.
• [11] Williams M.L. (1959): The stress around a fault crack in dissimilar media. - Bull. Seismol. Soc. Am., vol.49, pp. 199-206.
• [12] Yang F.Q. (1997): Exact solution for a finite length crack in a strip under general antiplane loading. - Int. J. Fracture, vol.87, pp.L57-L64.
• [13] Yoffe E.H. (1951): The moving Griffith crack. - Phil Mag., vol.42, pp.739-750.