Analytic study of plastic necking instabilities during plane tension tests

DOI10.1016/J.EUROMECHSOL.2012.09.008zbMath1348.74061OpenAlexW2056853006MaRDI QIDQ335206

Dominique Jouve

Publication date: 2 November 2016

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2012.09.008

zbMATH Keywords

bifurcationlinear stability analysisnumerical simulationsshear bandsnecking plastic instabilities

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (5)

Analytic study of the onset of plastic instabilities during plane tension and compression tests on metallic plates ⋮ Analytic study of the onset of plastic necking instabilities during biaxial tension tests on metallic plates ⋮ Effect of the third invariant on the formation of necking instabilities in ductile plates subjected to plane strain tension ⋮ Theoretical model of the temperature-dependent ultimate tensile strength from the viewpoint of dislocation kinetics approach for FCC metals ⋮ Extension of linear stability analysis for the dynamic stretching of plates: spatio-temporal evolution of the perturbation

Cites Work

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• Perturbation analysis of thermoviscoplastic instabilities in biaxial loading
• Localized necking in thin sheets
• Bifurcation phenomena in the plane tension test
• Predictions of bifurcation and instabilities during dynamic extension
• Necking bifurcations during high strain rate extension
• The Necking of a Tension Specimen in Plane Plastic Flow

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