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Surface layer stability under force and temperature loading

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Abstract

We study stability of an elastic homogeneous ormultilayer plate with a free surface under the action of force and temperature deformations. We show that possible buckling modes can be of two types. For each of these two types, we study the dependence of the critical strain on the wavelength. It was found that, for a homogeneous layer, a decrease in the wavelength leads to a decrease in the critical strain and, for a multilayer material with alternating hard and soft layers, a strain wave of finite length arises in buckling.

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Authors and Affiliations

  1. Saint-Petersburg State University, Universitetskaya nab. 7–9, St. Petersburg, 199034, Russia

    N. F. Morozov & P. E. Tovstik

Authors
  1. N. F. Morozov
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  2. P. E. Tovstik
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Correspondence to N. F. Morozov.

Additional information

Original Russian Text © N.F. Morozov, P.E. Tovstik, 2010, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2010, No. 6, pp. 5–15.

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Morozov, N.F., Tovstik, P.E. Surface layer stability under force and temperature loading. Mech. Solids 45, 769–777 (2010). https://doi.org/10.3103/S0025654410060026

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  • DOI: https://doi.org/10.3103/S0025654410060026

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