An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers

DOI10.1177/10812865221083046OpenAlexW4221121344MaRDI QIDQ5041626

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Publication date: 14 October 2022

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/10812865221083046

zbMATH Keywords

ridgeperiod-doublinghierarchical wrinkleperiod-quadruplingperiod-tripling

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Uses Software

• Matlab

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
• Nonlinear analyses of wrinkles in a film bonded to a compliant substrate
• Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods
• Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory
• Kinetic wrinkling of an elastic film on a viscoelastic substrate
• The role of nonlinear substrate elasticity in the wrinkling of thin films
• Pitchfork and octopus bifurcations in a hyperelastic tube subjected to compression: Analytical post-bifurcation solutions and imperfection sensitivity
• Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates
• Global-local approaches: the Arlequin framework
• Asmptoticaliy Approximate Model Equations for Weakly Nonlinear Long Waves in Compressible Elastic Rods and their Comparisons with Other Simplified Model Equations
• Spectral Methods in MATLAB
• A Practical Guide to Pseudospectral Methods

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