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General stability problem of a series of fibers in an elastic matrix

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Literature Cited

  1. 1.

    M. S. Babaev, A. N. Guz', and M. A. Cherevko, “Stability of a series of fibers in an elastic material for small precritical strains,” Prikl. Mekh.,21, No. 5, 27–34 (1985).

  2. 2.

    I. Yu. Babich, I. N. Garashchuk, and A. N. Guz', “Stability of fibers in an elastic matrix for an inhomogeneous precritical state,” Prikl. Mekh.,19, No. 11, 21–27 (1983).

  3. 3.

    G. N. Watson, Theory of Bessel Functions: in 2 Vol. [Russian translation], Izd. Inostr. Lit., Moscow (1949).

  4. 4.

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

  5. 5.

    A. N. Guz', Stability of Three-dimensional Deformable Bodies [in Russian], Naukova Dumka, Kiev (1971).

  6. 6.

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

  7. 7.

    A. N. Guz', Principles of the Three-dimensional Stability Theory of Deformable Bodies, [in Russian], Vishcha Shkola, Kiev (1986).

  8. 8.

    A. N. Guz', “Determination of the theoretical stability limits in the compression of bonded materials,” Dopovidi Akad. Nauk USSR, Ser. A, No. 3, 236–238 (1969).

  9. 9.

    A. N. Guz', Fracture Mechanics of Composite Materials under Compression [in Russian], Naukova Dumka, Kiev (1989).

  10. 10.

    A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics [in Russian], Nauka, Moscow (1984).

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Additional information

Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Ternopol' Brach of the L'vov Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 27, No. 3, pp. 3–11, March, 1991.

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Guz', A.N., Samborskaya, A.N. General stability problem of a series of fibers in an elastic matrix. Soviet Applied Mechanics 27, 223–231 (1991). https://doi.org/10.1007/BF00888139

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  • Stability Problem
  • General Stability
  • Elastic Matrix