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Internal instability of laminated composites with a metal matrix

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Conclusions

The constructed characteristic determinant for a three-dimensional nonaxisymmetric problem in the theory of stability of laminated composites with a metal matrix coincides with the characteristic determinant for the axisymmetric problem with the corresponding substitution of the wave parameters. The solution of the characteristic equation for a real material shows that loss of stability according to the different forms and for different values of deformation and the oscillation parameter as a function of the concentration of filler is possible.

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Literature cited

  1. 1.

    A. N. Guz', L. P. Khoroshun, G. A. Vanin, et al., Mechanics of Composite Materials and Construction Elements. Vol. 1. Mechanics of Materials [in Russian], Kiev (1982).

  2. 2.

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

  3. 3.

    A. V. Skachenko, “Instability of deformation of a bilayer parallelepiped with large elastoplastic deformations”, Prikl. Mekh.,15, No. 5, 95–98 (1979).

  4. 4.

    A. V. Skachenko, “Instability of laminated masses in developed plastic deformations”, Prikl. Mekh.,15, No. 6, 116–119 (1979).

  5. 5.

    A. V. Skachenko, “Stability of multilayer composites in nonelastic deformations”, Prikl. Mekh.,15, No. 8, 104–106 (1979).

  6. 6.

    A. N. Sporykhin, “Instability of deformation of laminated masses strengthened in plastic media”, Mekh. Deform. Tverd. Tela, No. 1, 63–65 (1977).

  7. 7.

    A. N. Guz' and I. A. Guz', “Three-dimensional problems in the theory of stability of laminated compressible composite materials”, Teor. Prikl. Mekh., No. 19, 24–32 (1988).

  8. 8.

    I. A. Guz', “Three-dimensional nonaxisymmetric problems in the theory of stability of laminated highly elastic composite materials”, Prikl. Mekh.,25, No. 11, 27–35 (1989).

  9. 9.

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

  10. 10.

    A. N. Guz', “Study of the internal instability of deformable solids”, Prikl. Mekh.,23, No. 2, 24–38 (1987).

  11. 11.

    A. P. Smiryagin, N. A. Smiryagina, and A. V. Belova, Industrial Nonferrous Metals and Alloys [in Russian], Moscow (1974).

  12. 12.

    I. Yu. Babich, A. N. Guz', and V. I. Kilin, “Problems of the failure and instability of laminated structures in elastic deformations”, Prikl. Mekh.,22, No. 7, 3–9 (1986).

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Additional information

Translated from Mekhanika Kompozitnykh Materialov, No. 6, pp. 1051–1056, November–December, 1990.

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Guz', I.A. Internal instability of laminated composites with a metal matrix. Mech Compos Mater 26, 762–767 (1991). https://doi.org/10.1007/BF00656661

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Keywords

  • Characteristic Equation
  • Metal Matrix
  • Laminate Composite
  • Oscillation Parameter
  • Real Material