Abstract
The present paper develops a generalised approach to instability of layered materials for numerical realisation of the method as applied to various constitutive equations of the layers (elastic, hyperelastic, elastic–plastic), different loading schemes (uniaxial or biaxial loading) and different precritical conditions (large or small precritical deformations). It contains many examples of calculations of critical controlled parameters for particular model materials as well as the analysis of different buckling modes.
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The financial support of the part of this research by The Royal Society, The Royal Academy of Engineering and The Carnegie Trust for the Universities of Scotland is gratefully acknowledged.
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Guz, I.A., Menshykova, M.V. & Menshykov, O.V. A generalised formulation for computing the microbuckling load in periodic layered materials. J Eng Math 95, 155–171 (2015). https://doi.org/10.1007/s10665-014-9753-y
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DOI: https://doi.org/10.1007/s10665-014-9753-y