Singular global bifurcation problems for the buckling of anisotropic plates

DOI10.1098/RSPA.1990.0005zbMath0698.73037OpenAlexW2015148223MaRDI QIDQ3476373

Stuart S. Antman, Pablo V. Negrón-Marrero

Publication date: 1990

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1990.0005

zbMATH Keywords

discontinuous solutionsaxisymmetric deformationaxisymmetric buckled statesanisotropic nonlinearly circular platesedge thrustnodal properties depending continuously on the load parameter

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Plates (74K20) Bifurcation and buckling (74G60)

Related Items (6)

An Analysis of the Linearized Equations for Axisymmetric Deformations of Hyperelastic Cylinders ⋮ Coexistent phases in nonlinear thermoelasticity: Radially symmetric equilibrium states of aeolotropic bodies ⋮ Buckling and post-buckling of a compressible slab under combined axial compression and lateral load ⋮ Global properties of buckled states of plates that can suffer thickness changes ⋮ The shrink-fit problem for aeolotropic nonlinearly elastic bodies ⋮ Novel stability patterns for the large necking of plates in tension: A numerical study

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