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Analysis of necking based on a one-dimensional model

https://doi.org/10.1016/j.jmps.2015.12.018
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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On the rheology of cold drawing. I. Elastic materials
inferredcites →https://doi.org/10.1007/bf00041087openalex-snapshot
Shear and necking instabilities in nonlinear elasticity
inferredcites →https://doi.org/10.1007/bf00126984openalex-snapshot
Equilibrium of bars
inferredcites →https://doi.org/10.1007/bf00276914openalex-snapshot
Existence and stability of necking deformations for nonlinearly elastic rods
inferredcites →https://doi.org/10.1007/bfb0097544openalex-snapshot
Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems
inferredcites →https://doi.org/10.1007/bfb0097548openalex-snapshot
Hamiltonian flows on center manifolds
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Derivation of a new free energy for biological membranes
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On the Stability of Incompressible Elastic Cylinders in Uniaxial Extension
inferredcites →https://doi.org/10.1016/0001-6160(77)90072-4openalex-snapshot
Tensile instability and necking in materials with strain hardening and strain-rate hardening
inferredcites →https://doi.org/10.1016/0001-6160(77)90168-7openalex-snapshot
Influence of strain-rate sensitivity on necking under uniaxial tension
inferredcites →https://doi.org/10.1016/0020-7403(67)90066-5openalex-snapshot
Limit strains in the processes of stretch-forming sheet metal
inferredcites →https://doi.org/10.1016/0020-7683(71)90088-6openalex-snapshot
Necking of a bar
inferredcites →https://doi.org/10.1016/0022-247x(73)90063-2openalex-snapshot
Nonuniqueness of equilibrium states for bars in tension
inferredcites →https://doi.org/10.1016/0022-5096(72)90035-xopenalex-snapshot
A numerical study of necking in circular cylindrical bar
inferredcites →https://doi.org/10.1016/0022-5096(74)90014-3openalex-snapshot
Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension
inferredcites →https://doi.org/10.1016/0022-5096(75)90027-7openalex-snapshot
Bifurcation phenomena in the plane tension test
inferredcites →https://doi.org/10.1016/0022-5096(78)90010-8openalex-snapshot
A computer simulation of the tension test
inferredcites →https://doi.org/10.1016/j.ijsolstr.2006.10.012openalex-snapshot
Post-bifurcation equilibria in the plane-strain test of a hyperelastic rectangular block
inferredcites →https://doi.org/10.1016/s0022-5096(98)00009-xopenalex-snapshot
Asymptotic analysis of stability for prismatic solids under axial loads
inferredcites →https://doi.org/10.1017/cbo9780511546174openalex-snapshot
W. T. Koiter’s Elastic Stability of Solids and Structures
inferredcites →https://doi.org/10.1063/1.4772956openalex-snapshot
Electromechanical instability and oscillating deformations in electroactive polymer films

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