Neck propagation

DOI10.1016/0022-5096(83)90007-8zbMath0523.73035OpenAlexW4238015473MaRDI QIDQ1056578

John W. Hutchinson, K. W. Neale

Publication date: 1983

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(83)90007-8

zbMATH Keywords

metalspolymeric materialselastic solidnonlinear elastic solidaxisymmetric neck propagationinelastic flow theory solidinelastic solidobtained from jump conditions governing continuity of mass, momentum and energypropagation of neck along length of tensile specimenrate-dependent and rate-independent behaviorsstate ahead and behind neck transitionthree- dimensional analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (12)

Dynamic neck development in a polymer tube under internal pressure loading ⋮ On the application of FEM to deformation of high-density polyethylene ⋮ Dynamic strain aging and plastic instabilities ⋮ Effect of torsion on the initiation of localized bulging in a hyperelastic tube of arbitrary thickness ⋮ Finite element implementation of a macromolecular viscoplastic polymer model ⋮ Steady-state shear band propagation under dynamic conditions ⋮ Stability of strain gradient elastic bars in tension ⋮ Evolution of strain localization in glassy polymers: a numerical study ⋮ Lattice incompatibility and strain-aging in single crystals ⋮ Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type ⋮ Bifurcation of elastoplastic solids to shear band mode at finite strain. ⋮ Finite element simulation of strain localization with large deformation: Capturing strong discontinuity using a Petrov-Galerkin multiscale formulation

Cites Work

• Constitutive inequalities for isotropic elastic solids under finite strain

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