Skip to main content
SpringerLink
Log in

Determination of coefficients in polynomial-tensor fracture criteria

  • Scientific Technical Section
  • Published:
Strength of Materials Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. E. V. Meshkov, V. I. Kulik, Z. T. Upitis, and I. V. Builis, “Study of the effect of structural parameters of a glass-plastic on its strength in a complex stress state,” Mekh. Kompozitn. Mater., No. 3, 439–442 (1982).

    Google Scholar 

  2. V. I. Kulik, E. V. Meshkov, R. B. Rikards, and Z. T. Upitis, “Experimental study of the strength of a glass-plastic with a longitudinal-lateral scheme of reiforcement in a plane stress state,” Probl. Prochn., No. 11, 100–106 (1982).

    Google Scholar 

  3. V. I. Kulik, E. V. Meshkov, A. S. Nilov, and Z. T. Upitis, “Study of the effect of the structure of longiturdinal-lateral reinforcement on the strength of an organic-fiber plastic in a plane stress state,” Mekh. Kompozitn. Mater., No. 5, 805–810 (1983).

    Google Scholar 

  4. R. D. Maksimov, É. Z. Plume, and V. N. Ponomarev, “Strength properties of unidirectionally reinforced hybrid composites,” Mekh. Kompozitn. Mater., No. 1, 35–41 (1984).

    Google Scholar 

  5. R. D. Maksimov, É. Z. Plume, and E. A. Sokolov, “Study of the dependence of the strength of a fiber composite on temperature in a plane stress state,” Mekh. Polim., No. 3, 452–457 (1978).

    Google Scholar 

  6. V. I. Kulik, E. V. Meshkov, and G. P. Lashmanov, “Study of the strength surface of composite materials with a longitudinal-lateral reinforcement scheme,” in: Mechanics of Structures of Composite Materials [in Russian], Nauka, Novosibirsk (1984), pp. 54–59.

    Google Scholar 

  7. R. D. Maksimov, E. A. Sokolov, and É. Z. Plume, “Strength of an organic-glass textolite in a plane stress state,” Mekh. Kompozitn. Mater., No. 6, 1021–1026 (1979).

    Google Scholar 

  8. I. I. Gol'denblat and V. A. Kopnov, “Strength of glass-plastics in a complex stress state,” Mekh. Polim., No. 2, 70–78 (1965).

    Google Scholar 

  9. A. K. Malmeister, “Geometry of theoreis of strength,” Mekh. Polim., No. 4, 519–526 (1966).

    Google Scholar 

  10. V. L. Bazhenov, I. I. Gol'denblat, V. A. Kopnov, et al., Strength of Glass-Fiber-Reinforced Plastics [in Russian], Mashinostroenie, Moscow (1968).

    Google Scholar 

  11. É. M. Vy, “Phenomenological criteria of the fracture of anisotropic media,” Mekh. Kompozitn. Mater., No. 2, 401–491 (1978).

    Google Scholar 

  12. V. A. Pashkov, “Statistical evaluation of a criterion of the static strength of orthogonally reinforced glass-plastic AG-4s,” Mekh. Polim., No. 6, 1117–1120 (1973).

    Google Scholar 

  13. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Strength of Polymeric and Composite Materials [in Russian], Zinatne, Riga (1980).

    Google Scholar 

  14. Z. T. Upitis, “Investigation of the fracture of laminated composites in relation to the structure of the reinforcement,” Author's Abstract of Candidate's Dissertation, Engineering Sciences, Riga (1980).

    Google Scholar 

  15. V. A. Man'kovskii, “Laws of the short-and long-term strength of composites in complex stress states,” Mekh. Kompozitn. Mater., No. 5, 799–804 (1983).

    Google Scholar 

  16. E. M. Wu, “Optimal experimental measurements of anisotropic failure tensors,” J. Compos. Mater.,6, 472–489 (1972).

    Google Scholar 

  17. R. Tennyson, D. MacDonald, and A. Nanyaro, “Determination of tensor components in a polynomial fracture criterion for composite materials,” Mekh. Kompozitn. Mater., No. 3, 418–423 (1980).

    Google Scholar 

  18. M. J. Owen and D. J. Rice, “Biaxial strength behavior of glass fabric-reinforced polyester resins,” Composites, No. 1, 13–25 (1981).

    Google Scholar 

  19. É. Z. Plume and R. D. Maksimov, “Determination of the components of tensors of the strength surface of anisotropic materials,” Mekh. Polim., No. 1, 51–54 (1978).

    Google Scholar 

  20. Z. T. Upitis, Ya. A. Brauns, and R. B. Rikards, “Determination of the tensors of a strength surface by the least squares method,” Mekh. Polim., No. 3, 552–554 (1974).

    Google Scholar 

  21. A. F. Kregers, “Algorithm for finding the minimum of a functional of many variables by the method of steepest descent,” Algorithmy i Programmy, No. 2, 9–11 (1974).

    Google Scholar 

  22. É. Z. Plume, “Determination of components of tensors of the strength surface of materials,” Algorithmy i Programmy, No. 2, 9–11 (1974).

    Google Scholar 

  23. Z. T. Upitis and R. B. Rikards, “Study of the dependence of the strength of a composite on the reinforcement structure in a plane stress state,” Mekh. Polim., No. 6, 1018–1024 (1976).

    Google Scholar 

Download references

Authors
  1. E. V. Meshkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Kulik
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Z. T. Upitis
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. B. Rikards
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Leningrad Institute of Mechanics, Institute of Polymer Mechanics, Latvian Academy of Sciences, Riga Polytechnic Institute. Translated from Problemy Prochnosti, No. 9, pp. 66–72, September, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meshkov, E.V., Kulik, V.I., Upitis, Z.T. et al. Determination of coefficients in polynomial-tensor fracture criteria. Strength Mater 19, 1260–1267 (1987). https://doi.org/10.1007/BF01523385

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01523385

Keywords

Search

Navigation