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Analysis of stress intensity factors for a pair of edge cracks in semi-infinite medium with distributed eigenstrain

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EN
Abstrakty
EN
This study analyzes stress intensity factors for a pair of edge cracks in a semi-infinite medium with a distribution of eigenstrain and subjected to a far field uniform applied load. The eigenstrain is considered to be distributed arbitrarily over a region of finite depth extending from the free surface. The cracks are represented by a distribution of edge dislocations. By using the complex potential functions of the edge dislocations, a simple effective method is developed to calculate the stress intensity factor for the edge cracks. The method is employed to obtain some numerical results of the stress intensity factor for different distributions of eigenstrain. The numerical results reveal that the stress intensity factor of the edge cracks is significantly influenced by the magnitude as well as distribution of eigenstrain within the finite depth. The eigenstrains that induce compressive stresses at and near the free surface of the semi-infinite medium reduce the stress intensity factor that, in turn, enhances the apparent fracture toughness of the material.
Rocznik
Strony
269--287
Opis fizyczny
Bibliogr. 13 poz., tab., wykr.
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autor
autor
Bibliografia
  • Afsar A.M. (1997): Analysis of Edge Cracks in Semi-Infinite Functionally Gradient Materials with Distributed Eigenstrains. - M. Sc. Dissertation, Tohoku University, Japan.
  • Afsar A.M. and Sekine H. (2000): Crack spacing effect on the brittle fracture characteristics of semi-infinite functionally graded materials with periodic edge cracks. - International Journal of Fracture, vol.102, No.2, pp.L61- L66.
  • Erdogan F., Gupta G.D. and Cook T.S. (1973): Numerical solution of singular integral equations, In: Methods of Analysis and Solutions of Crack Problems (G.C. Sih, Ed.). - Leyden 1: Noordhoff International Publishing.
  • Hartranft R.J. and Sih G.C. (1973): Alternating method applied to edge and surface crack problems, In: Methods of Analysis and Solutions of Crack Problems 1 (G.C. Sih, Ed.). - Leyden: Noordhoff International Publishing.
  • Hills D.A., Kelly P.A., Dai D.N. and Korsunsky A.M. (1996): Distributed dislocation fundamentals, In: Solution of Crack Problems-The Distributed Dislocation Technique (G.M.L. Gladwell, Ed.). - Dordrecht/Boston/London: Kluwer Academic Punlishers.
  • Isida M. (1979): Tension of a half plane containing array cracks, branched cracks and cracks emanating from sharp notches. - Transaction of the Japan Society of Mechanical Engineers, vol.45, No.392, pp.306-317.
  • Krenk S. (1975): On the use of the interpolation polynomial for solution of singular integral equation. - Quarterly of Applied Mathematics, vol.32, No.4, pp.479-484.
  • Mura T. (1987): General theory of eigenstrain, In: Micromechanics of Defects in Solids-Mechanics of Elastic and Inelastic solids 3. (S. Nemat-Nasser and G.A.E. Oravas, Ed.). - Dordrecht/Boston/London: Kluwer Academic Publishers.
  • Muskhelishvili N.I. (1975): Some Basic Problems of the Mathematical Theory of Elasticity (Translated from the Russian by J. R. M. Radok). - The Netherlands: Noordhoff International Publishers.
  • Sekine H. and Afsar A.M. (1999): Composition profile for improving the brittle fracture characteristics in semi-infinite functionally graded materials. - JSME International Journal, Series A, vol.42, No.4, pp.592-600.
  • Sneddon I.N. (1946): The distribution of stress in the neighborhood of a crack in an elastic solid. - Proceedings of the Royal Society of London, 187A, pp.229-260.
  • Sneddon I.N. and Das S.C. (1971): The stress intensity factor at the tip of an edge crack in an elastic half-plane. - International Journal of Engineering Science, vol.9, pp.25-36.
  • Stallybrass M.P. (1970): A crack perpendicular to an elastic half-plane. - International Journal of Engineering Science, vol.8, pp.351-362.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0016
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