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Effect of kinematic heterogeneity on the critical stability parameters of cylindrical laminar shells

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Conclusions

In engineering computations, involving the stability of thin laminar designs of the plate and shell type, to determine the critical stability parameters (Pcr 1, mcr, and ncr), use of the kinematically homogeneous model of a laminar packet (the classical hypothesis of a straight line) is permissible when R/h ≥25 for physically heterogeneous orthotropic packets irrespective of their structure, and for orthotropic hybrid packets provided that the elastic characteristics of the “hard” layers in the axes of layer symmetry do not exceed the corresponding characteristics of the “soft” layers by more than 10–15 times.

In all of these cases, use of the kinematically homogeneous model produces estimates of the critical axial compressive force on the high side by not more than 3% (a hybrid quasiregular three-layer packet) with respect to values computed on the basis of the kinematically heterogeneous model of a laminar packet (broken-line hypothesis).

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Literature cited

  1. É. I. Grigolyuk and F. A. Kogan, “Current status of the theory of multilayer shells,” Prikl. Mekh.,8, No. 6, 3–17 (1972).

    Google Scholar 

  2. S. A. Ambartsumyan, General Theory of Anisotropic Shells [in Russian], Moscow (1974).

  3. G. A. Teters, R. B. Rikards, and V. L. Narusberg, Optimization of Shells of Laminar Composites [in Russian], Riga (1978).

  4. V. V. Bolotin and Yu. N. Novichkov, Mechanics of Multilayer Structures [in Russian], Moscow (1980).

  5. P. P. Chulkov, “Equations of the oscillations of elastic laminar shells,” in: Continuum Dynamics [in Russian], No. 4, Novosibirsk (1970), pp. 19–29.

    Google Scholar 

  6. V. L. Narusberg, “Basis for the homogeneous model of a laminar composite in problems involving the optimization of thin-walled shells performing in a stable manner,” Mekh. Komp. Mater., No. 3, 474–479 (1981).

    Google Scholar 

  7. V. L. Narusberg and L. A. Pazhe, “Optimization of a three-layer cylindrical shell of a hybrid composite with a layer packet that is heterogeneous in terms of thickness and that performs in a stable manner under external pressure,” in: Theses of Papers Presented at the Second Conference of Young Specialists on the Mechanics of Composite Materials [in Russian], Riga (1979), pp. 83–85.

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Authors and Affiliations

  1. Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga

    V. L. Narusberg & L. A. Pazhe

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  1. V. L. Narusberg
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  2. L. A. Pazhe
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Translated from Mekhanika Kompozitnykh Materialov, No. 2, pp. 271–278, March–April, 1982.

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Narusberg, V.L., Pazhe, L.A. Effect of kinematic heterogeneity on the critical stability parameters of cylindrical laminar shells. Mech Compos Mater 18, 188–194 (1982). https://doi.org/10.1007/BF00604840

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  • DOI: https://doi.org/10.1007/BF00604840

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