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Torsion of an elastic space with a semi-infinite conical crack

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Abstract

The axisymmetric problem of stress concentration near a conical crack in an infinite elastic space with a rotation center is addressed. The problem is reduced to an integro-differential equation. Its exact solution is obtained. An expression for the stress intensity factor in crack neighborhood is derived and numerically analyzed for different positions of the rotation center and the crack opening angles

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References

  1. H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1953).

    Google Scholar 

  2. H. Bateman and A. Erdelyi, Tables of Integral Transforms, McGraw-Hill, New York (1954).

    Google Scholar 

  3. S. M. Belotserkovskii and I. K. Lifanov, Numerical Methods in Singular Integral Equations and Their Application in Aerodynamics, Elasticity Theory, and Electrodynamics [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  4. F. D. Gakhov, Boundary-Value Problems [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  5. W. Nowacki, Theory of Elasticity [Russian translation], Mir, Moscow (1975).

    MATH  Google Scholar 

  6. B. M. Nuller, “Torsion of an elastic space with a semi-infinite conical crack,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 1, 150–152 (1972).

  7. G. Ya. Popov, “Problems of elastic stress concentration near defects in spherically laminated media,” Prikl. Mat. Mekh., 62, No. 5, 840–853 (1998).

    Google Scholar 

  8. G. Ya. Popov, “Problems of elastic stress concentration near a conical defect,” Prikl. Mat. Mekh., 61, No. 3, 510–519 (1997).

    MATH  Google Scholar 

  9. G. Ya. Popov, Concentration of Elastic Stresses near Punches, Cuts, Thin Inclusions, and Reinforcements [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  10. G. Ya. Popov, Yu. A. Morozov, and N. D. Vaisfel’d, “On solution of dynamic problems of elastic-stress concentration near defects on cylindrical surfaces,” Int. Appl. Mech., 35, No. 1, 24–32 (1999).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Economics, and Mechanics, I. I. Mechnokov National University, Odessa, Ukraine

    G. Ya. Popov & K. A. Kudim

Authors
  1. G. Ya. Popov
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  2. K. A. Kudim
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__________

Translated from Prikladnaya Mekhanika, Vol. 43, No. 2, pp. 99–107, February 2007.

For the centenary of the birth of G. N. Savin.

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Popov, G.Y., Kudim, K.A. Torsion of an elastic space with a semi-infinite conical crack. Int Appl Mech 43, 209–216 (2007). https://doi.org/10.1007/s10778-007-0017-7

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  • DOI: https://doi.org/10.1007/s10778-007-0017-7

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