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Closed-Form Solution for a Mode-III Interface Crack Between Two Bonded Dissimilar Elastic Layers

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Abstract

A mode-III crack at the interface between two bonded dissimilar elastic layers of equal thickness is considered. The closed-form solution for a crack of length 2a has been analytically derived for stress-free boundaries and clamped boundaries. Furthermore, the analytic solution for a semi-infinite interface crack in two bonded dissimilar layers has been directly determined without recourse to the Wiener-Hopf technique.

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References

  • Erdogan F. and Gupta G. (1971). The stress analysis of multi-layered composites with a flaw. International Journal of Solids and Structures 7, 39-61.

    Google Scholar 

  • Georgiadis H. G. (1986). Complex-variable and integral transform methods for elastodynamic solutions of cracked orthotropic strips. Engineering Fracture Mechanics 24, 727-735.

    Google Scholar 

  • Rice J. R. (1967). Discussion on the paper: Stress in an infinite strip containing a semi-infinite crack, by W. G. Knauss. Journal of Applied Mechanics 34, 248-149.

    Google Scholar 

  • Sih G. C. and Chen E. P. (1981). Cracks in Composite Materials. In Mechanics of fracture. Vol. 6 (Edited by G. C. Sih). Martinus Nijhoff, The Hague.

    Google Scholar 

  • 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 38, 99-109.

    Google Scholar 

  • Tait R. J. and Moodie T. B. (1981). On a problem in the dynamic theory of cracks. Quarterly of Applied Mathematics 38, 419-423.

    Google Scholar 

  • Yang F.Q. (1997). Exact solution for finite length crack in a strip under general antiplane loading. International Journal of Fracture 87, L57-L64.

    Google Scholar 

  • Yu J.-D. and Wu K.-C. Anti-plane shear crack in a sandwich composite. Engineering Fracture Mechanics 44, 875-885.

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Authors and Affiliations

  1. College of Mathematics and Physics, Hunan Normal University Changsha, Hunan, 410081, People's Republic of China

    X.-F. Li

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  1. X.-F. Li
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Li, XF. Closed-Form Solution for a Mode-III Interface Crack Between Two Bonded Dissimilar Elastic Layers. International Journal of Fracture 109, 3–8 (2001). https://doi.org/10.1023/A:1010960305812

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  • DOI: https://doi.org/10.1023/A:1010960305812

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