Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism

DOI10.1016/j.crma.2007.05.020zbMath1116.74016OpenAlexW1979755448MaRDI QIDQ997989

Fan-Fan Wang, Hui-Hui Dai

Publication date: 10 August 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.05.020

zbMATH Keywords

singular dynamical systemnormal form equation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items (1)

Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: asymptotic solution and mechanism

Cites Work

• Unnamed Item
• Global continuation in nonlinear elasticity
• Global bifurcation in nonlinear elasticity with an application to barrelling states of cylindrical columns
• Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods
• Phase transitions in a slender cylinder composed of an incompressible elastic material. I. Asymptotic model equation
• Asmptoticaliy Approximate Model Equations for Weakly Nonlinear Long Waves in Compressible Elastic Rods and their Comparisons with Other Simplified Model Equations
• Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
• Nonlinear problems of elasticity
• Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods.

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