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Stress concentration in a transversely isotropic spherical shell with two circular rigid inclusions

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International Applied Mechanics Aims and scope

The refined Timoshenko-type theory that takes into account the transverse shear strains is used to find an analytic solution for the stress state of transversely isotropic shallow spherical shell with two circular rigid inclusions. The case of a shell with closely spaced rigid inclusions of unequal radii under internal pressure is analyzed numerically. The stresses in the shell increase considerably with decrease in the distance between the inclusions and increase in the transverse shear parameter

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References

  1. A. N. Guz, I. S. Chernyshenko, Val. N. Chekhov, Vik. N. Chekhov, and K. I. Shnerenko, Cylindrical Shells Weakened by Holes [in Russian], Naukova Dumka, Kyiv (1974).

    Google Scholar 

  2. A. N. Guz, I. S. Chernyshenko, Val. N. Chekhov, Vik. N. Chekhov, and K. I. Shnerenko, Theory of Thin Shells Weakened by Holes, Vol. 1 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kyiv (1980).

  3. A. N. Guz, I. S. Chernyshenko, and K. I. Shnerenko, Spherical Bottoms Weakened by Holes [in Russian], Naukova Dumka, Kyiv (1970).

    Google Scholar 

  4. V. N. Chekhov, “Stability of layered materials with zero in-plane strains,” Int. Appl. Mech., 46, No. 12, 1351–1361 (2010).

    Article  Google Scholar 

  5. I. S. Chernyshenko, E. A. Storozhuk, and I. B. Rudenko, “Elastoplastic state of flexible spherical shells with a reinforced elliptic hole,” Int. Appl. Mech., 44, No. 12, 1397–1404 (2008).

    Article  ADS  Google Scholar 

  6. A. N. Guz, E. A. Storozhuk, and I. S. Chernyshenko, “Nonlinear two-dimensional static problems for thin shells with reinforced curvilinear holes,” Int. Appl. Mech., 45, No. 12, 1269–1300 (2009).

    Article  ADS  Google Scholar 

  7. O. A. Kondratenko, “Stress state around a circular hole in a prestressed transversely isotropic spherical shell,” Int. Appl. Mech., 44, No. 2, 167–173 (2008).

    Article  ADS  Google Scholar 

  8. V. V. Panasyuk and M. P. Savruk, “On the problem of determination of stress concentration in a stretched plate with two holes,” J. Math. Sci., 162, No. 1, 132–148 (2009).

    Article  Google Scholar 

  9. E. A. Tkachenko and V. N. Chekhov, “Stability of layered coatings under biaxial termomechanical loading,” Int. Appl. Mech., 45, No. 12, 1349–1356 (2009).

    Article  ADS  Google Scholar 

  10. S. V. Zakora and Val. N. Chekhov, “Stress state of a transversely isotropic spherical shell with a rigid circular inclusion,” Int. Appl. Mech., 41, No. 12, 1384–1390 (2005).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. V. I. Vernadskii National University of Tavriya, 4 Yaltenskaya St., Simferopol, Ukraine, 95007

    V. N. Chekhov

  2. Donetsk National University, 24 Universitetskaya St., Donetsk, Ukraine, 83055

    S. V. Zakora

Authors
  1. V. N. Chekhov
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  2. S. V. Zakora
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Correspondence to V. N. Chekhov.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 47, No. 4, pp. 111–118, July 2011.

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Chekhov, V.N., Zakora, S.V. Stress concentration in a transversely isotropic spherical shell with two circular rigid inclusions. Int Appl Mech 47, 441–448 (2011). https://doi.org/10.1007/s10778-011-0470-1

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  • DOI: https://doi.org/10.1007/s10778-011-0470-1

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