Bifurcation phenomena in pure bending

DOI10.1016/0022-5096(80)90005-8zbMath0463.73037OpenAlexW1983114406MaRDI QIDQ1153723

Nicholas Triantafyllidis

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-5096(80)90005-8

zbMATH Keywords

pure bendingclassification of regimes of bifurcation equationcritical condition for short wavelength surface modesincompressible platetwo incrementally linear consitutive models

Mathematics Subject Classification ID

Plates (74K20) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Bifurcation and buckling (74G60)

Related Items (13)

Nonlinear effects in a plane problem of the pure bending of an elastic rectangular panel ⋮ Bifurcation and post-bifurcation phenomena of elastic-plastic circular tubes subjected to uniform shrinkage under plane strain condition ⋮ Size-dependent bending of thin metallic films ⋮ Instabilities in multilayered soft dielectrics ⋮ Swelling-induced wrinkling in layered gel beams ⋮ Micro- and macrobifurcation of fibrous metal-matrix composites under uniaxial compression ⋮ Flexure and compression of incompressible elastic plates ⋮ Elastic instabilities caused by stress concentration ⋮ Another approach of WKB method for the stability analysis of the bending of an elastic rubber block ⋮ Size-Dependent Bending of Thin Metallic Films ⋮ Surface instabilities in finitely strained solids under static loading ⋮ On the bifurcation and postbifurcation analysis of elastic-plastic solids under general prebifurcation conditions ⋮ Rippling of long rectangular rubber blocks under bending

Cites Work

• On uniqueness and stability in the theory of finite elastic strain
• Localized necking in thin sheets
• Bifurcation phenomena in the plane compression test
• Bifurcation phenomena in the plane tension test
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