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Abstrakty
We rigorously solve the problem of a finite matrix crack penetrating a partially debonded circular elastic inhomogeneity under longitudinal shear. The tips of the matrix crack are mutual image points with respect to the inhomogeneity/matrix interface and one tip of the interface crack is located at the intersection point between the matrix crack and the circular interface. Closed-form expressions of mode-III stress intensity factors at all three crack tips as well as displacement jumps across the crack surfaces are obtained. Our results are illustrated in graphical form and verified by comparison with existing results in the literature.
Czasopismo
Rocznik
Tom
Strony
319--319
Opis fizyczny
-–342, Bibliogr. 16 poz.
Twórcy
autor
autor
- School of Mechanical and Power Engineering East China University of Science and Technology 130 Meilong Road, Shanghai 200237, China, P.Schiavone@ualberta.ca
Bibliografia
- 1. A.H. England, An arc crack around a circular elastic inclusion, J. Appl. Mech. (ASME), 33, 637–640, 1966.
- 2. F. Erdogan, G.D. Gupta, The inclusion problem with a crack crossing the boundary, Int. J. Fract., 11, 13–27, 1975.
- 3. J.W. Hutchinson, Stresses and failure modes in thin films and multilayers, Lecture Notes, 1996.
- 4. C.I. Kim, P. Schiavone, C.-Q. Ru, The effect of surface elasticity on a Mode-III interface crack, Arch. Mech., 63, 3, 267–286, 2011.
- 5. Y. Liu, C.-Q. Ru, P. Schiavone, A. Mioduchowski, New phenomena concerning the effect of imperfect bonding on radial matrix cracking in fiber composites, Int. J. Engng. Sci., 39, 2033–2050, 2001.
- 6. N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff Ltd., Netherlands, 1963.
- 7. A.B. Perlman, G.C. Sih, Elastostatic problems of curvilinear cracks in bonded dissimilar materials, Int. J. Eng. Sci., 5, 845–867, 1967.
- 8. M. Vasudevan, P. Schiavone, New results concerning the identification of neutral inhomogeneities in plane elasticity, Arch. Mech., 58, 1, 45–58, 2006.
- 9. P.S. Steif, A semi-infinite crack partially penetrating a circular inclusion, J. Appl. Mech., 54, 87–93, 1987.
- 10. A.N. Stroh, The formation of cracks as a result of plastic flow, I, Proc. Roy. Soc. Lond., A 223, 404–414, 1954.
- 11. O. Tamate, T. Yamada, Stresses in an infinite body with a partially bonded circular cylindrical inclusion under longitudinal shear, Technology Reports, Tohoku University, 34, 161, 1969.
- 12. M. Toya, Crack along interface of a circular inclusion embedded in an infinite solid, J. Mech. Phys. Solids, 22, 325–348, 1974.
- 13. Y.P. Wang, R. Ballarini, A long crack penetrating a circular inhomogeneity, Meccanica, 38, 579–593, 2003.
- 14. X. Wang, E. Pan, W.J. Feng, Closed-form solutions for a mode III radial matrix crack penetrating a circular inhomogeneity, Appl. Math. Model., 32, 2925–2935, 2008.
- 15. X. Wang, E. Pan, On a finite crack partially penetrating two circular inhomogeneities and some related problems, Appl. Math. Model., DOI 10.1016/j.apm.2011.09.014 [to appear].
- 16. C. Zener, The micro-mechanism of fracture, Fracturing of metals, American Society for Metals, Cleveland, 3–31, 1948.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0011-0056