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Stability of two fibers in an elastic matrix with small strains

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Literature Cited

  1. 1.

    S. D. Akbarov, “Loss of stability of two fibers in an elastic matrix with large elastic strains,” Prikl. Mekh.,17. No. 7, 30–35 (1981).

  2. 2.

    S. D. Akbarov, “Stability of two fibers in a matrix with small strains,” Prikl. Mekh., No. 6, 129–131 (1981).

  3. 3.

    S. D. Akbarov, A. N. Guz', and M. A. Cherevko, “Stability of two fibers in a matrix with finite subcritical strains,” Mekh. Kompozit. Materialov, No. 1, 42–50 (1982).

  4. 4.

    I. Yu. Babich, A. N. Guz', and N. A. Shul'ga, “Study of the dynamics and stability of composite materials in a three-dimensional formulation,” Prikl. Mekh.,18, No. 1, 3–27 (1982).

  5. 5.

    A. N. Guz', “Construction of a theory of stability of unidirectional fibrous materials,” Prikl. Mekh.,5, No. 2, 62–70 (1969).

  6. 6.

    A. N. Guz', Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka, Kiev (1973).

  7. 7.

    A. N. Guz', Stability of Elastic Bodies with Finite Strains [in Russian], Naukova Dumka, Kiev (1973).

  8. 8.

    A. N. Guz', S. D. Akbarov, and M. A. Cherevko, “Mutual effect of two fibers in the case of loss of stability in the matrix with large elastic strains,” Dopov. Akad. Nauk Ukr. RSR Ser. A, No. 8, 39–42 (1981).

  9. 9.

    A. N. Guz' and V. T. Golovchan, Diffraction of Elastic Waves in Multiply Connected Bodies [in Russian], Naukova Dumka, Kiev (1972).

  10. 10.

    A. N. Guz', V. D. Kubenko, and M. A. Cherevko, Diffraction of Elastic Waves [in Russian], Naukova Dumka, Kiev (1978).

  11. 11.

    L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis, Fizmatgiz, Moscow (1962).

  12. 12.

    A. N. Guz' (ed.), Mechanics of Composite Materials and Structural Elements [in Russian], Vol. 1 of 3 Vols. of Mechanics of Materials, Naukova Dumka, Kiev (1982).

  13. 13.

    B. Rozen, “Mechanics of strain-hardening of composites,” in: Fiber Composites [Russian translation], Mir, Moscow (1967), pp. 54–96.

  14. 14.

    Sadovsky, Pu, and Hussein, “Loss of stability of microscopic fibers,” Trans. ASME Ser. E,34, No. 4, 295–302 (1967).

  15. 15.

    Modern Composite Materials [Russian translation], Mir, Moscow (1970).

  16. 16.

    Yu. M. Tarnopol'skii and A. V. Roze, Features of the Design of Parts Made of Reinforced Plastics, Zinatne, Riga (1969).

  17. 17.

    A. N. Guz' (ed.), Theory of Thin Shells Weakened by Holes [in Russian], Vol. 1 of 5 Vols. of Methods of Shell Design, Naukova Dumka, Kiev (1980).

  18. 18.

    V. T. Tomashevskii and V. S. Yakovlev, “Structural instability of reinforcing fibers in the processing of composite materials by the method of winding,” Mekh. Kompozit. Materialov, No. 6, 1057–1063 (1983).

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Additional information

Institute of Mathematics and Mechanics, Azerbaidzhan Academy of Sciences, Baku. Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 21, No. 1, pp. 3–10, January, 1985.

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Akbarov, S.D., Guz', A.N. Stability of two fibers in an elastic matrix with small strains. Soviet Applied Mechanics 21, 1–7 (1985). https://doi.org/10.1007/BF00887874

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Keywords

  • Small Strain
  • Elastic Matrix