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The concept of nonideal interphase contact in the theory of deformation and failure of composite materials

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Abstract

We give a critical survey of the studies of the construction of mathematical models of the state of composite materials in the presence of nonideal interphase contact on the interfaces between the phases created by technological and physicochemical processes. We exhibit the essential influence of the parameters of adhesion on the macroscopic characteristics and resistance to failure of composite materials.

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Literature cited

  1. V. A. Laz'ko, “The stress-strain state of laminated anisotropic shells in the presence of zones of nonideal layer contact. 1. The variational principle of the theory of elastic laminated anisotropic systems in the presence of zones of nonideal contact,”Mekh. Komp. Mater., No. 5, 832–836 (1981).

    Google Scholar 

  2. V. A. Laz'ko and B. L. Pelekh, “The variational principle of the coupled problem of mechancother-modiffusion of laminated media under nonideal interphase contact,” in:Current Problems of Shell Mechanics [in Russian], Kazan' Aviation Institute, (1985), pp. 41–47.

  3. Yu. S. Lipatov,Interphase Effects in Polymers [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

  4. O. S. Machuga and B. L. Pelekh, “On the resistance to failure of laminated anisotropic plates with defects on the interface,”Izv. Akad. Nauk SSSR, Mekh. Tver. Tela, No. 1, 168–174 (1986).

    Google Scholar 

  5. B. L. Pelekh, “On the development of the physicochemical mechanics of composite materials,” in:Proc. 1st Sess. Shevchenko Sci. Soc. [in Ukrainian], Materials Science Committee, L'viv (1990), pp. 18–19.

    Google Scholar 

  6. B. L. Pelekh,Theory of Shells with Finite Shear Stiffness [in Russian], Naukova Dumka, Kiev (1973).

    Google Scholar 

  7. B. L. Pelekh, “Statement and solution of problems of slowing and halting cracks in composite media,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 48–51 (1982).

    Google Scholar 

  8. B. L. Pelekh and I. M. Korovaichuk, “On the mechanics of composite media with imperfect joints on the phase interfaces,”Mekh. Komp. Mater., No. 4, 606–611 (1984).

    Google Scholar 

  9. B. L. Pelekh and I. M. Korovaichuk, “On a class of problems for laminated composites in the presence of slippage on the phase interfaces,”Mekh. Komp. Mater., No. 2, 343–345 (1981).

    Google Scholar 

  10. B. L. Pelekh and V. A. Laz'ko, “Variational principles of mechanics of composite media and their applications,” in:All-union Symposium on the Mechanics of Structures of Composite Materials [in Russian], Novosibirsk (1980), pp. 57–58.

  11. B. L. Pelekh and V. A. Laz'ko,Laminated Shells and Plates with Stress Concentrators [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  12. B. L. Pelekh, A. V. Maksimuk, and I. M. Korovaichuk,Contact Problems of the Theory of Laminated Structures and Bodies with Coatings [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  13. B. L. Pelekh and O. S. Machuga, “A two-parameter model of failure of adhesive joints,”Mekh. Komp. Mater., No. 6, 1034–1039 (1988).

    Google Scholar 

  14. B. L. Pelekh and M. A. Sukhorol'skii,Contact Problems of the Theory of Elastic Anisotropic Shells [in Russian], Naukova Dumka (1980).

  15. B. L. Pelekh and F. N. Fleishman, “The influence of thin interphase layers on the macroscopic characteristics of composite materials,”Izv. Akad. Nauk SSSR. Mekh. Tver. Tela, No. 3, 68–73 (1984).

    Google Scholar 

  16. B. L. Pelekh and F. N. Fleishman, “Effective moduli of dispersively filled structures with thin interphase layers,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 53–56 (1984).

    Google Scholar 

  17. B. L. Pelekh and F. N. Fleishman, “The effective characteristics of composite media plated by fibers taking account of the presence of interphase structures,”Prikl. Mekh.,21, No. 10, 79–85 (1985).

    Google Scholar 

  18. Ya. S. Pidstrigach, “Conditions of thermal contact of solid bodies,”Dop. Akad. Nauk Ukr. RSR, No. 7, 872–874 (1963).

    Google Scholar 

  19. Ya. S. Podstrigach, “Jump conditions in displacement and stresses on a thinwalled elastic inclusion in a continuous medium,”Dokl. Akad. Nauk Ukr. SSSR, Ser. A, No. 12, 30–32 (1982).

    Google Scholar 

  20. Ya. S. Podstrigach and P. R. Shevchuk, “Temperature fields and stresses in bodies with thin coatings,”Tepl. Napr. v Elem. Konst, No. 7, 227–233 (1967)

    Google Scholar 

  21. V. I. Pokhmurskii, B. L. Pelekh, I. M. Korovaichuk, et al., “On the initial stage of failure of chemically imposed coatings,”Fiz.-Khim. Mekh. Mattr., No. 4, 37–41 (1985).

    Google Scholar 

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  1. B. L. Pelekh
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Translated fromMatematicheskie Melody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 75–82.

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Pelekh, B.L. The concept of nonideal interphase contact in the theory of deformation and failure of composite materials. J Math Sci 67, 2885–2891 (1993). https://doi.org/10.1007/BF01095863

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  • DOI: https://doi.org/10.1007/BF01095863

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