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The Force on a Dislocation Near a Weakly Bonded Interface

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Abstract

The physical system being studied here is an elastic dislocation in proximity to a material interface which has limited strength in shear. The configuration is relevant to elastic strain relaxation in bonded thin-film semiconductor material structures. A plane strain boundary value problem is formulated and an exact solution for the force on the dislocation versus distance from the interface is obtained. If the dislocation is close enough to the interface, its stress field causes irreversible slip across the interface. This slip, in turn, induces an attractive force on the dislocation. For the case of an edge dislocation with Burgers vector normal to the interface, it is found that the dislocation has a stable equilibrium position at a small distance from the interface.

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References

  1. H. Alexander, Dislocations in covalent crystals. In: F.R.N. Nabarro (ed.), Dislocations in Solids, Vol. 7. North-Holland, New York (1986) 115-234.

    Google Scholar 

  2. A.F. Bower, The influence of crack face friction and trapped fluid on surface initiated rolling contact fatigue cracks, Journal of Tribology 110(1988) 704-711.

    Article  ADS  Google Scholar 

  3. J. Dundurs and M. Comninou, Some consequences of the inequality conditions in contact and crack problems, Journal of Elasticity 9(1979) 71-82.

    Article  MATH  Google Scholar 

  4. L.B. Freund and W.D. Nix, A critical thickness condition for a strained compliant substrate / epitaxial film system, Applied Physics Letters 69(1996) 173-175.

    Article  ADS  Google Scholar 

  5. A.D. Hearle and K.L. Johnson, Mode II stress intensities for a crack parallel to the surface of an elastic half-space subjected to a moving point load, Journal of the Mechanics and Physics of Solids 33(1985) 61-81.

    Article  MathSciNet  ADS  Google Scholar 

  6. N.I. Muskhelishvili, Singular Integral Equations, Noordhoff, Groningen (1953) 249-260.

    MATH  Google Scholar 

  7. S. Sheppard, J.R. Barber and M. Comninou, Short subsurface cracks under conditions of slip and stick caused by a moving compressive load, Journal of Applied Mechanics 52(1985) 811-817.

    Article  Google Scholar 

  8. T.Y. Tan and U. Gösele, Twist wafer bonded ‘fixed-film’ versus ‘compliant’ substrates: Correlated misfit dislocation generation and contaminant gettering, Applied Physics A 64(1997) 631-633.

    Article  Google Scholar 

  9. M.L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, Journal of Applied Mechanics 19(1952) 526-528.

    Google Scholar 

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Hurtado, J., Freund, L. The Force on a Dislocation Near a Weakly Bonded Interface. Journal of Elasticity 52, 167–180 (1998). https://doi.org/10.1023/A:1007587830791

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  • DOI: https://doi.org/10.1023/A:1007587830791

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