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The determination of stress and strain concentrations at an ellipsoidal inclusion in an anisotropic material

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Abstract

The aim of this paper is to produce elementary yet explicit formulae for the evaluation of stress and strain concentration factors at an ellipsoidal inclusion, for arbitrary anisotropy, under uniform loading at infinity. The results are such that the required formulae do not involve the solution of any boundary value prolems or the knowledge of any Green's functions. An important feature of the analysis is that the solution of the interface problem is intimately related to the solution of the inclusion problem.

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References

  1. Eshelby, J. D., Proc. R. Soc. Lond. A. 241 (1957) 376

    Google Scholar 

  2. Hill. R., Continuum Mechanics and Related Problems of Analysis, p. 597, Moscow 1972

  3. Laws, N., Journal of Elasticity 5 (1975) 227

    Google Scholar 

  4. Kinoshita, N. and Mura, T., Phys. Stat. sol. (a) 5 (1971) 759

    Google Scholar 

  5. Synge, J. L., The Hypercircle in Mathematical Physics, Cambridge University Press 1957

  6. Hill, R., J. Mech. Phys. Solids 13 (1965) 213

    Article  Google Scholar 

  7. Kunin, I. A. and Sosnina, E. G., Sov. Phys. Doklady 16 (1972) 534

    Google Scholar 

  8. Asaro, R. J. and Barnett, D. M., J. Mech. Phys. Solids 23 (1975) 77

    Article  Google Scholar 

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Laws, N. The determination of stress and strain concentrations at an ellipsoidal inclusion in an anisotropic material. J Elasticity 7, 91–97 (1977). https://doi.org/10.1007/BF00041133

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  • DOI: https://doi.org/10.1007/BF00041133

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