Violation of the complementing condition and local bifurcation in nonlinear elasticity

DOI10.1007/s10659-011-9349-yzbMath1327.74036OpenAlexW2035852492MaRDI QIDQ1937170

Errol L. Montes-Pizarro, Pablo V. Negrón-Marrero

Publication date: 11 February 2013

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-011-9349-y

zbMATH Keywords

wrinklingaxial compressionHadamard-Green materialslateral compression

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

The study of asymptotically fine wrinkling in nonlinear elasticity using a boundary layer analysis ⋮ The complementing and Agmon's conditions in finite elasticity, three dimensions ⋮ The complementing and Agmon's conditions in finite elasticity

Cites Work

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• On barrelling instabilities in finite elasticity
• Local bifurcation analysis of a second-gradient model for deformations of a rectangular slab
• On bifurcation in finite elasticity: Buckling of a rectangular rod
• On the positivity of the second variation in finite elasticity
• Global continuation in nonlinear elasticity
• Unbounded branches of classical injective solutions to the forced displacement problem in nonlinear elastostatics
• Global bifurcation in nonlinear elasticity with an application to barrelling states of cylindrical columns
• Axisymmetric deformations of buckling and barrelling type for cylinders under lateral compression -- the linear problem
• An introduction to continuum mechanics
• Some existence theorems of the traction boundary value problem of linearized elastostatics
• Some global results for nonlinear eigenvalue problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On barrelling for a special material in finite elasticity
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• An Analysis of the Linearized Equations for Axisymmetric Deformations of Hyperelastic Cylinders
• Instability of thick elastic solids
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Nonlinear problems of elasticity

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