Skip to main content
Log in

Generalization of the method of perturbation of the form of the boundary in the mechanics of deformable bodies

  • Published:
Soviet Applied Mechanics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. S. D. Akbarov and A. N. Guz', “On a method of solving problems in the mechanics of composite materials with curved layers,” Prikl. Mekh.,20, No. 4, 3–9 (1984).

    Google Scholar 

  2. S. D. Akbarov and A. N. Guz', “On a method of solving problems in the mechanics of fibered materials with curved structures,” Prikl. Mekh.,20, No. 9, 3–12 (1984).

    Google Scholar 

  3. S. A. Vorob'ev and A. N. Guz', “On radiation of noncircular cylindrical shells in a fluid,” Prikl. Mekh.,19, No. 8, 3–10 (1983).

    Google Scholar 

  4. O. M. Guz', “On approximate methods of studying stress concentrations around curvilinear holes in shells,” Prikl. Mekh. (Ukrainian),8, No. 6, 605–612 (1962).

    Google Scholar 

  5. O. M. Guz', “On a method of solving three-dimensional linear problems of continuum mechanics for noncanonical domains,” Dokl. Akad. Nauk UkrRSR, Ser. A, No. 4, 352–355 (1970).

    Google Scholar 

  6. A. N. Guz', “On diffraction of waves by finite bodies of revolution,” Prikl. Mekh.,9, No. 7, 10–18 (1973).

    Google Scholar 

  7. A. N. Guz', “On propagation and diffraction of waves in bodies with noncircular cylindrical boundaries,” Prikl. Mekh.,9, No. 9, 3–11 (1973).

    Google Scholar 

  8. A. N. Guz' and Yu. N. Nemish, Perturbation Methods in Spatial Problems of Elasticity Theory [in Russian], Vishch. Shkola, Kiev (1982).

    Google Scholar 

  9. A. N. Guz' and Yu. N. Nemish, “Method of perturbation of the form of the boundary in continuum mechanics (survey paper),” Prikl. Mekh.,23, No. 9, 3–29 (1987).

    Google Scholar 

  10. A. N. Guz', G. N. Savin, and I. A. Tsurpal, “Stress concentrations around curvilinear holes in a physical nonlinear elastic plate,” Arch. Mech. Stosow.,16, No. 4, 1009–1021 (1964).

    Google Scholar 

  11. A. D. Kovalenko and V. G. Karnaukhov, “On an approximate method of solving spatial problems of the theory of elasticity and viscoelasticity,” Prikl. Mekh.,5, No. 8, 1–10 (1969).

    Google Scholar 

  12. V. D. Kubenko, Yu. N. Nemish, K. I. Shnerenko, and N. A. Shul'ga, “Method of perturbations in boundary value problems of the mechanics of deformable bodies,” Prikl. Mekh.,18, No. 11, 3–20 (1982).

    Google Scholar 

  13. Yu. N. Nemish, “On an approximate solution of spatial problems of elasticity theory for transversally isotropic media,” Prikl. Mekh.,5, No. 8, 26–34 (1969).

    Google Scholar 

  14. Yu. N. Nemish, “On the stressed state of nonlinearity elastic bodies,” Izv. Akad. Nauk UkrSSR. mekh. Tverd. Tela, No. 4, 81–89 (1971).

    Google Scholar 

  15. Yu. N. Nemish, “Elastic equilibrium of deformable bodies bounded by noncircular cylindrical surfaces,” Izv. Akad. Nauk UkrSSR. Mekh. Tverd. Tela, No. 2, 77–86 (1973).

    Google Scholar 

  16. Yu. N. Nemish, “Method of perturbation of the form of the boundary in spatial problems of mechanics of deformable bodies,” Izv. Akad. Nauk UkrSSR. Mekh. Tverd. Tela, No. 1, 17–26 (1975).

    Google Scholar 

  17. Yu. N. Nemish, “On a method of solving three-dimensional problems of mechanics of deformable bodies bounded by arbitrary surfaces,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 1, 48–52 (1976).

    Google Scholar 

  18. Yu. N. Nemish, “An approximate method of solving three-dimensional problems of the theory of elasticity of a curvilinear orthotropic body for noncanonical domains,” Prikl. Mekh.,14, No. 7, 10–17 (1978).

    Google Scholar 

  19. Yu. N. Nemish, “Three-dimensional boundary problems of elasticity theory for noncanonical domains,” Prikl. Mekh.,16, No. 2, 3–39 (1980).

    Google Scholar 

  20. Yu. N. Nemish, “On a method for solving three-dimensional problems of mechanics of deformable cylinders with non-planar endfaces,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 5, 34–37 (1982).

    Google Scholar 

  21. Yu. N. Nemish, “Spatial problem for a deformable cone with a nonsymmetrically perturbed surface,” Prikl. Mekh.,19, No. 3, 19–24 (1983).

    Google Scholar 

  22. Yu. N. Nemish and N. M. Bloshko, Stress State of Elastic Cylinders with Grooves [in Russian], Naukova, Dumka, Kiev (1987).

    Google Scholar 

  23. Yu. N. Nemish and R. M. Israfilov, “Related problems on the stress state of saturated porous media in a neighborhood of noncircular cylindrical cavities,” Prikl. Mekh.,23, No. 4, 9–18 (1987).

    Google Scholar 

  24. Yu. N. Nemish and D. I. Chernopiskii, Elastic Equilibrium of Corrugated Bodies [in Russian], Naukova Dumka, Kiev (1983).

    Google Scholar 

  25. Yu. N. Podil'chuk, “An approximate method for solving boundary value problems of elasticity theory for figures close to an ellipsoid of revolution,” Prikl. Mekh.,6, No. 9, 23–30 (1970).

    Google Scholar 

  26. G. M. Khatiashvili, Problems of Almansi-Michell for Homogeneous and Composite Bodies [in Russian], Metsniereba, Tbilisi (1983).

    Google Scholar 

  27. L. P. Khoroshun and E. N. Shikula, “Stress state in a neighborhood of an ellipsoidal development in a gas-saturated mass under nonstationary gas filtration,” Prikl. Mekh.,20, No. 4, 14–18 (1984).

    Google Scholar 

  28. G. N. Sawin, A. N. Guz (Guz'), and A. S. Kosmodamianskij, “Zagadnienia mechaniki osrodkow ciaglych dla obszrov niekanoniczych,” Mech. teor. i stosowana,8, No. 1, 3–18 (1970).

    Google Scholar 

Download references

Authors

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 25, No. 1, pp. 5–12, January, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nemish, Y.N. Generalization of the method of perturbation of the form of the boundary in the mechanics of deformable bodies. Soviet Applied Mechanics 25, 1–7 (1989). https://doi.org/10.1007/BF00887309

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00887309

Keywords

Navigation