Dynamic bifurcation during high-rate planar extension of a thin rectangular block

DOI10.1016/S0997-7538(98)80001-6zbMath0933.74036MaRDI QIDQ1286016

Lambert B. Freund, Niels J. Sørensen

Publication date: 2 May 1999

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

zbMATH Keywords

symmetric modesmultiple neckinglong-wavelength modesantisymmetric modesdiffuse bifurcationincrementally linear rate-independent elastic-plastic constitutive lawlocalization speedtwo-variable problem

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (3)

Random distributions of initial porosity trigger regular necking patterns at high strain rates ⋮ Multiple necking during the dynamic expansion of hemispherical metallic shells, from experiments to modelling ⋮ Effects of inertia on dynamic neck formation in tensile bars

Cites Work

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• A general theory of uniqueness and stability in elastic-plastic solids
• Non-normality and bifurcation in plane strain tension and compression
• Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strain
• Flow localization in the plane strain tensile test
• Bifurcation phenomena in the plane compression test
• Bifurcation phenomena in the plane tension test
• Nonlocal continuum effects on bifurcation in the plane strain tension-compression test
• Unstable neck formation in a ductile ring subjected to impulsive radial loading

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