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Elastic equilibrium of a medium containing periodic spherical inclusions

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Literature Cited

  1. G. A. Vanin, “Elastic volumetric expansion of a medium with hollow spherical inclusions,” Prikl. Mekh.,16, No. 7, 127–129 (1980).

    Google Scholar 

  2. V. T. Golovchan, “Toward solutions of boundary problems of the statics of an elastic body, restricted to spherical surfaces,” Dop. Akad. Nauk UkrRSR, Ser. A, No. 1, 61–64 (1974).

    Google Scholar 

  3. V. T. Golovchan, “Effective thermal conductivities of a granular medium,” Inzh. Fiz. Zh.,40, No. 2, 336–344 (1981).

    Google Scholar 

  4. V. T. Golovchan and V. I. Kushch, “Three-dimensional problem on the stress concentration next to spherical cavities in an elastic space,” inSummary of Documents of the All-Republic Symposium “Stress Concentration,” Izd. Don. Univ., Donetsk (1983), pp. 25–26.

    Google Scholar 

  5. V. M. Levin, “Thermoelastic stresses in composite media,” Prikl. Mat. Mekh.,46, No. 3, 502–506 (1982).

    Google Scholar 

  6. F. Morse and G. Fishback, Methods of Theoretical Physics [Russian translation], Vol. 2, IL, Moscow (1960).

    Google Scholar 

  7. I. P. Olegin, “Three-dimensional stress state of an infinite body containing a uniperiodic system of rigid spherical inclusions,” in: Mechanics of Deformable Solids and Design of Transport Facilities [in Russian], NIIZhT MPS SSSR, Novosibirsk (1980), pp. 67–74.

    Google Scholar 

  8. A. F. Ulitko, Method of Vectorial Eigenfunctions in Three-Dimensional Problems of the Theory of Elasticity [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  9. B. D. Agarwal and L. J. Broutman, “Three-dimensional analysis of spherical particle composites,” Fiber Sci. Technol.,7, No. 1, 63–77 (1974).

    Google Scholar 

  10. R. M. Christensen and K. H. Lo, “Solutions for effective shear properties in threephase sphere and cylinder models,” J. Mech. Phys. Solids,27, No. 4, 315–330 (1979).

    Google Scholar 

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Authors
  1. V. I. Kushch
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Additional information

Institute of Ultrahard Materials, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 21, No. 5, pp. 18–27, May, 1985.

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Kushch, V.I. Elastic equilibrium of a medium containing periodic spherical inclusions. Soviet Applied Mechanics 21, 435–442 (1985). https://doi.org/10.1007/BF00887036

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  • DOI: https://doi.org/10.1007/BF00887036

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