Necking bifurcations during high strain rate extension

DOI10.1016/S0022-5096(99)00031-9zbMath0969.74034OpenAlexW2014019735MaRDI QIDQ1975872

Yanyan Li

Publication date: 2 October 2001

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/s0022-5096(99)00031-9

zbMATH Keywords

dynamic stabilityplatedeformation theory of plasticitythin-walled shellhigh strain rateincompressible rate-independent plastic solidnecking bifurcationstrain hardening plastic material

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (14)

Neck development in metal/elastomer bilayers under dynamic stretchings ⋮ Dynamic rupture of polymer-metal bilayer plates ⋮ Analytic study of plastic necking instabilities during plane tension tests ⋮ Random distributions of initial porosity trigger regular necking patterns at high strain rates ⋮ An investigation into the effect of strain rate on forming limit diagram using ductile fracture criteria ⋮ Effect of the third invariant on the formation of necking instabilities in ductile plates subjected to plane strain tension ⋮ Multiple necking during the dynamic expansion of hemispherical metallic shells, from experiments to modelling ⋮ Localization in elasto-plastic materials: influence of the plasticity yield surface in biaxial loading conditions ⋮ On the dynamics of necking and fragmentation--II. Effect of material properties, geometrical constraints and absolute size ⋮ The influence of a surface coating on the high-rate fragmentation of a ductile material ⋮ Effects of inertia on dynamic neck formation in tensile bars ⋮ Extension of linear stability analysis for the dynamic stretching of plates: spatio-temporal evolution of the perturbation ⋮ Material aspects of dynamic neck retardation ⋮ Bifurcation instability of substrate-supported metal films under biaxial in-plane tension

Cites Work

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• Surface instabilities on statically strained plastic solids
• Localized necking in thin sheets
• Bifurcation phenomena in the plane tension test
• Unstable neck formation in a ductile ring subjected to impulsive radial loading

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