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Asymptotic modeling of thin asymmetric laminates. Boundary-value problems and solution methods

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Abstract

We have investigated the internal dynamic stress-strain state of elastic laminates with perfectly joined anisotropic layers in the long-wave approximation. In contrast to familiar cases, in this treatment we allow an asymmetric arrangement of plies across the thickness and the most general anisotropy. We derive the generalized governing equations for plates by an asymptotic method based on three-dimensional dynamic elasticity. We discuss the similarities and differences between the derived two-dimensional theory and earlier models of S. A. Ambarisumyan and R. M. Christensen. We show that the asymptotic accuracy of the equations depends on the type of anisotropy: (i) general anisotropy; (ii) monodinic anisotropy or orthotropy of the layers.

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Authors and Affiliations

  1. Institute of Problems of Mechanics, Russian Academy of Sciences, Moscow, Russia

    D. D. Zakharov

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  1. D. D. Zakharov
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Translated from Mekhanika Kompositnykh Materialov, Vol. 31, No. 3, pp. 319–325, May–June, 1995.

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Zakharov, D.D. Asymptotic modeling of thin asymmetric laminates. Boundary-value problems and solution methods. Mech Compos Mater 31, 228–233 (1995). https://doi.org/10.1007/BF00615635

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  • DOI: https://doi.org/10.1007/BF00615635

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