Bifurcation in plastic flow under uniaxial tension

DOI10.1016/0022-5096(71)90020-2zbMath0222.73037OpenAlexW2092049903MaRDI QIDQ2547822

J. P. Miles

Publication date: 1971

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(71)90020-2

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items

Existence and stability of necking deformations for nonlinearly elastic rods, Fluid-pressure eigenstates and bifurcation in tension specimens under lateral pressure, Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strain, Some remarks on the stability of the homogeneous deformation for an elastic bar, Zur Theorie der Verzweigungen nicht-isothermer elastoplastischer Deformationen, The initiation of necking in rectangular elastic/plastic specimens under uniaxial and biaxial tension, Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension, A numerical study of necking in circular cylindrical bars, Axisymmetric bifurcation analysis in soils by the tangential-subloading surface model, On the absence of bifurcation for elastic bars in uniaxial tension, Finite elements in non-associated plasticity - Axisymmetric necking in void-containing materials

Cites Work

• Some basic principles in the mechanics of solids without a natural time
• On the problem of uniqueness in the theory of a rigid-plastic solid. III
• A general theory of uniqueness and stability in elastic-plastic solids
• Uniqueness in general boundary-value problems for elastic or inelastic solids
• Bifurcation in rigid-plastic materials under spherically symmetric loading conditions
• On the stability of elastic-plastic and rigid-plastic plates of arbitrary thickness, and flat bars of arbitrary width
• A general theory of elastic and inelastic plate failure. I
• Some cases of bifurcation in elastic-plastic solids in plane strain