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Sudden Twisting of Partially Bonded Cylindrical Rods

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Defects, Fracture and Fatigue

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Abstract

This study is concerned with the axially-symmetric transient problem of a torque applied suddenly to the end of a composite consisting of two concentric partially bonded cylinders. The cylinders are assumed to be perfectly bonded along their contact surface except for a cylindrical crack emanating from the horizontal boundary. The dynamic stress field at the periphery of the crack is found to possess the same essential features as other singular problems in LEFM. Of particular interest is the magnitude of the overshoot in the dynamic stress-intensity factor compared to the corresponding static value and the time interval in which it occurs. This has been displayed graphically for several composites made of different elastic materials.

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References

  1. Chen, E. P. and Sih, G. C., Elastodynamic Crack Problems, Noordhoff International Publishing, Leyden, The Netherlands, 1977.

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  2. Miller, M. K. and Guy, K. T., “Numerical inversion of the Laplace transform by use of Jacobi polynomials”, SIAM Journal of Numerical Analysis, Vol. 3, pp. 624–635, 1966.

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  3. Erdelyi, A., ed., Tables of Integral Transforms, Vols. I and II, McGraw-Hill, New York, 1954.

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  4. Sneddon, I. N., Mixed Boundary Value Problems in Potential Theory, North-Holland Publishing Co., Amsterdam, The Netherlands, 196

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Author information

Authors and Affiliations

  1. City College of New York, New York, New York, 10031, USA

    M. K. Kassir

  2. Gibbs and Hills, Inc., New York, New York, 10001, USA

    K. K. Bandyopadhyay

Authors
  1. M. K. Kassir
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  2. K. K. Bandyopadhyay
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Editor information

Editors and Affiliations

  1. Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem, Pennsylvania, USA

    G. C. Sih

  2. Mechanical Engineering Department, McGill University, Montreal, P.Q., Canada

    J. W. Provan

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© 1983 Martinus Nijhoff Publishers, The Hague

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Kassir, M.K., Bandyopadhyay, K.K. (1983). Sudden Twisting of Partially Bonded Cylindrical Rods. In: Sih, G.C., Provan, J.W. (eds) Defects, Fracture and Fatigue. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6821-9_23

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  • DOI: https://doi.org/10.1007/978-94-009-6821-9_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6823-3

  • Online ISBN: 978-94-009-6821-9

  • eBook Packages: Springer Book Archive

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