An Asymptotic Analysis of the Period-Doubling Secondary Bifurcation in a Film/Substrate Bilayer

DOI10.1137/15M1027103zbMath1327.74033OpenAlexW1947439925MaRDI QIDQ3452588

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Publication date: 13 November 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1027103

zbMATH Keywords

nonlinear elasticityperiod-doublingbilayertunable patterns

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (7)

An experimental study of morphological formation in bilayered tubular structures driven by swelling/growth ⋮ Mathematical Modeling of Morphogenesis in Living Materials ⋮ Bifurcation of elastic solids with sliding interfaces ⋮ Elastic contact of a stiff thin layer and a half-space ⋮ Revisiting the wrinkling of elastic bilayers I: linear analysis ⋮ Liquid crystal elastomers wrinkling ⋮ Post-buckling of an elastic half-space coated by double layers

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Cites Work

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• Buckling of a stiff film bound to a compliant substrate. I: Formulation, linear stability of cylindrical patterns, secondary bifurcations
• Exact and asymptotic stability analyses of a coated elastic half-space
• Nonlinear stability analysis of pre-stressed elastic bodies.
• On the definition of elastic moduli
• The role of nonlinear substrate elasticity in the wrinkling of thin films
• On the imperfection sensitivity of a coated elastic half-space

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