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Bending and buckling of multilayer thin plates

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Summary

Bending a multilayer plate of a periodical structure is considered. The material inside each layer is supposed isotropic. Initial assumptions are applicable to plates with significant difference of layers' modulae of elasticity, i.e. shear strains are taken into account. The obtained differential equation differs with an additional term form a common solid plates' solution.

As an example of a bending boundary problem, the symmetrically loaded circular plate is considered. The buckling problem is illustrated with a rectangular plate, loaded in its middle plane along one axis.

It is shown on a numerical example that the solution for buckling may differ qualitatively from solutions based on the plane sections' hypothesis.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa, Israel

    I. D. Kaplevatsky & V. O. Shestopal

Authors
  1. I. D. Kaplevatsky
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  2. V. O. Shestopal
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Kaplevatsky, I.D., Shestopal, V.O. Bending and buckling of multilayer thin plates. Acta Mechanica 43, 169–176 (1982). https://doi.org/10.1007/BF01176280

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  • DOI: https://doi.org/10.1007/BF01176280

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