Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Further studies on the strength geometry of anisotropic materials

  • 26 Accesses


The connection between the form of the strength surface of an anisotropic material and the procedure of experimentally determining the starting parameters is examined. Strength surfaces which were constructed for a flat sheet of constructional plywood in four octants of stress space and strength surfaces constructed in three planes of symmetry for two fiberglass plastics in the third octant are shown.

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

Literature cited

  1. 1.

    A. K. Malmeister, "The geometry of strength theory," Mekh. Polim., No. 4, 519–534 (1966).

  2. 2.

    R. B. Rikards and Ya. A. Brauns, "Approximation of strength surfaces in a flat stressed state," Mekh. Polim., No. 3, 406–414 (1974).

  3. 3.

    E. K. Ashkenazi, "The problem of the geometry of strength theories," Mekh. Polim., No. 4, 703–707 (1967).

  4. 4.

    E. K. Ashkenazi, A. V. Lavrov, O. S. Myl'nikova, and V. D. Popov, "Experimental investigation of the strength of anisotropic materials in bi- and triaxial compression," Mekh. Polim., No. 6, 991–996 (1973).

  5. 5.

    E. K. Ashkenazi, O. S. Myl'nikova, M. V. Gershberg, R. S. Raikhel'gauz, and A. K. Sborovskii, "Experimental investigation of the strength of fiberglass plastics in biaxial compression in three planes of symmetry," Mekh. Polim., No. 1, 63–72 (1976).

  6. 6.

    I. P. Boksberg, T. P. Boksberg, E. K. Ashkenazi, A. K. Sborovskii, V. D. Popov, A. V. Lavrov, and V. N. Zakharov, "A device for testing specimens for biaxial compression," USSR Authors' Certificate No. 419764; Otk. Izobret., Prom-st'. Obraztsy, Tovarnye Znaki, No. 10, 122 (1974).

  7. 7.

    V. L. Bazhanov, I. I. Gol'denblat, V. A. Kopnov, A. D. Pospelov, and A. M. Sinyukov, Resistance of Fiberglass Plastics [in Russian], Moscow (1968).

  8. 8.

    N. I. Volkov, "The effect of invariant III on the strength of brittle materials," Probl. Prochn., No. 10, 26–30 (1974).

  9. 9.

    M. S. Tadfi, "The strength of an orthotropic material in the flat stressed state," Candidate's Dissertation, Kiev (1973).

  10. 10.

    F. P. Belyankin, G. G. Margolin, D. V. Mikhal'chuk, and V. F. Yatsenko, "Procedure for experimental determination of the strength of fiberglass plastics under pure shear," Dokl. Akad. Nauk UkrSSR, Ser. A., No. 10, 913–915 (1970).

  11. 11.

    E. K. Ashkenazi, A. K. Sborovskii, and O. S. Myl'nikova, "Experimental basis for a means of reinforcing fiberglass plastics which experience stress by biaxial compression," in: Properties of Shipbuilding Fiberglass Plastics and Methods of Checking Them [in Russian], No. 4, Leningrad (1974), pp. 171–174.

  12. 12.

    S. B. Ainbinder, K. I. Alksne, É. L. Tyunina, and M. G. Laka, Properties of Polymers at High Pressures [in Russian], Moscow (1973).

  13. 13.

    E. K. Ashkenazi and F. P. Pekker, "Experimental checking of the applicability of a fourthdegree polynomial to describe the surface of equally dangerous flat stressed states of fiberglass plastics," Mekh. Polim., No. 2, 284–294 (1970).

  14. 14.

    V. A. Pashkov, "Statistical evaluation of criterion for static strength of orthogonally reinforced fiberglass plastic AG-4s," Mekh. Polim., No. 6, 1117–1120 (1973).

Download references

Additional information

S. M. Kirov Leningrad Wood Technology Academy. Translated from Mekhanika Polimerov, No. 2, pp. 269–278, March–April, 1976.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Ashkenazi, E.K., Myl'nikova, O.S. & Raikhel'gauz, R.S. Further studies on the strength geometry of anisotropic materials. Polymer Mechanics 12, 232–240 (1976). https://doi.org/10.1007/BF00856458

Download citation


  • Fiberglass
  • Anisotropic Material
  • Stress Space
  • Flat Sheet
  • Strength Surface