Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids

DOI10.1007/s00033-009-0020-4zbMath1247.74018OpenAlexW2093262072MaRDI QIDQ707971

Aguinaldo Fraddosio, Salvatore Marzano, Pilade Foti, Roger L. Fosdick

Publication date: 8 October 2010

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-009-0020-4

zbMATH Keywords

bifurcationBlatz-Ko strain energy functionstrong ellipticity condition

Mathematics Subject Classification ID

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

Related Items

Taylor-like bifurcations for a compressible isotropic elastic tube ⋮ A lower bound estimate of the critical load in bifurcation analysis for incompressible elastic solids ⋮ A lower bound estimate of the critical load for compressible elastic solids ⋮ Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids ⋮ Analysis of Non-autonomous Linear ODE Systems in Bifurcation Problems via Lie Group Geometric Numerical Integrators

Uses Software

• SeDuMi
• GloptiPoly

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• GloptiPoly