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Micro-defects Initiation Ahead of a Wedge-shaped Inhomogeneity

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Abstract

The problem of micro-defects that are initiated at the tip of a wedge-shaped inhomogeneity is investigated. Firstly, the elastic solution due to a screw dislocation near the tip of a semi-infinite wedge-shaped inhomogeneity is derived using the conformal mapping method. Then, a Mode III micro-crack initiated from the tip of the imhomogeneity is examined. The effects of the wedge angle, the crack location and the relative shear modulus of the inhomogeneity on the stress intensity factor of the micro-crack are studied. Finally, an interesting relationship between the critical stress intensity factor (K*III c for a line inhomogeneity and the fracture toughness of a crack (KIIIc) in the same material is established for different shear modulus of the inhomogeneity.

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References

  • G.P. Cherpanow (1994) ArticleTitleInterface microcrack nucleation Journal of the Mechanics and Physics of Solids 42 665–680

    Google Scholar 

  • J. Dundurs T. Mura (1964) ArticleTitleInteraction between edge dislocation and circular inclusion Journal of Mechanics and Physics of Solids 12 177–189 Occurrence Handle10.1016/0022-5096(64)90017-1

    Article  Google Scholar 

  • Dundurs, J. (1969). Elastic interaction of dislocations with inhomogeneities, in: Mathematical Theory of Dislocation,. ASME, New York, pp. 70–115.

  • F. Erdogan (1974) ArticleTitleMixed boundary-value problems in mechanics Mechanics of Today 4 1–85

    Google Scholar 

  • H. Fan (1994) ArticleTitleInterfacial Zener–Stroh crack ASME Journal of Applied Mechanics 61 829–834

    Google Scholar 

  • H. Fan Z.M. Xiao (1997) ArticleTitleZener–Stroh crack near an interface International Journal of Solids and Structures 34 2829–2842 Occurrence Handle10.1016/S0020-7683(96)00196-5

    Article  Google Scholar 

  • S.X. Gong S.A. Meguid (1994) ArticleTitleScrew dislocation interacting with an elastic elliptical inhomogeneity International Journal of Engineering Science 32 1221–1228 Occurrence Handle10.1016/0020-7225(94)90033-7

    Article  Google Scholar 

  • K. Head (1953) ArticleTitleThe interaction of dislocations and boundaries Philosophical Magazine 44 92–94 Occurrence Handle1:CAS:528:DyaG28XhvVKgtg%3D%3D

    CAS  Google Scholar 

  • Hill, D.A., Kelly, P.A., Dai, D.N. and Korsunsky, A.M. (1996). Solution of Crack Problems, Kluwer Academic Publishers.

  • J.P. Hirth J. Lothe (1982) Theory of Dislocations Wiley New York

    Google Scholar 

  • J.A. Hurtado J. Dundurs T. Mura (1995) ArticleTitleLamellar inhomogeneities in a uniform stress Journal of the Mechanics and Physics of Solids 44 1–21

    Google Scholar 

  • S.M. Ohr S.J. Chang (1985) ArticleTitleElastic interaction of a wedge crack with a screw dislocation Journal of Applied Physics 57 1839–1843 Occurrence Handle10.1063/1.334412

    Article  Google Scholar 

  • M.H. Santare (1995) ArticleTitleDislocation inside an isotropic elliptical inclusion surrounded by an anisotropic medium Journal of Applied Mechanics 62 537–539

    Google Scholar 

  • S.F. Stone R.A. Westmann (1981) ArticleTitleStress intensity factors for cracked wedges International Journal of Solids and Structures 17 345–358 Occurrence Handle10.1016/0020-7683(81)90068-8

    Article  Google Scholar 

  • A.N. Stroh (1954) ArticleTitleThe formulation of cracks as a result of plastic flow Proceedings of the Royal Society of London A 223 404–414

    Google Scholar 

  • L. Wu S. Du X. Tan (1998) ArticleTitleInteraction between dislocation and two circular cylindrical inclusions Acta Mechanica Sinica 14 328–338

    Google Scholar 

  • Z.M. Xiao H. Fan (1996) ArticleTitleMicrocrack initiation at the tip of a rigid line inhomogeneity International Journal of Fracture 82 1–9 Occurrence Handle1:CAS:528:DyaK2sXjsVelsbY%3D

    CAS  Google Scholar 

  • Z.M. Xiao B.J. Chen H. Fan (2001) ArticleTitleAn edge dislocation interacting with a wedge-shaped bi-material interface International Journal of Solids and Structures 38 IssueID46–47 8219–8233

    Google Scholar 

  • J. Yen C. Hwu (1994) ArticleTitleInteractions between dislocations and an-isotropic elastic elliptical inclusions Journal of Applied Mechanics 61 548–554

    Google Scholar 

  • Zener, C. (1948). The Micro-Mechanism of Fracture, Fracturing of Metals, American Society for Metals, Cleveland, pp. 3–31.

  • Z. Zhong S.A. Meguid (1997) ArticleTitleOn the elastic field of a spherical inhomogeneity with an imperfectly bonded interface Journal of Elasticity 46 91–113 Occurrence Handle10.1023/A:1007342605107

    Article  Google Scholar 

  • Z. Zhong S.A. Meguid (1999) ArticleTitleOn the imperfectly bonded spherical inclusion problem Journal of Applied Mechanics 66 839–846

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical & Aerospace Engineering, Nanyang Technological University, Nanyang Avenue, Singapore, 639798, Republic of Singapore

    B. J. Chen, Z. M. Xiao & D. W. Shu

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  1. B. J. Chen
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  2. Z. M. Xiao
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  3. D. W. Shu
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Correspondence to Z. M. Xiao.

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Chen, B.J., Xiao, Z.M. & Shu, D.W. Micro-defects Initiation Ahead of a Wedge-shaped Inhomogeneity. Int J Mech Mater Des 2, 49–59 (2005). https://doi.org/10.1007/s10999-005-4442-7

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