Book ChapterDOI
Sheet Necking-II. Time-Independent Behavior
John W. Hutchinson,K. W. Neale +1 more
- pp 127-153
TLDR
In this paper, a localization-band bifurcation analysis is carried out and the influence of geometric imperfections is analyzed using the longwavelength approximation treated in Part I. The main emphasis in this Part is on comparisons between the corresponding predictions of flow theory and deformation theory.Abstract:
Various factors affecting the prediction of limit strains in biaxially-stretched sheets are studied. Time-independent material behavior is assumed, and both the flow theory of plasticity as well as a finite-strain version of deformation theory are considered. A localization-band bifurcation analysis is first carried out. The influence of geometric imperfections is then analyzed using the long-wavelength approximation treated in Part I. We also discuss the predicted forming limit curves and comment on their relation to published experimental data. The main emphasis in this Part, however, is on comparisons between the corresponding predictions of flow theory and deformation theory.read more
Citations
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Journal ArticleDOI
High ductility of a metal film adherent on a polymer substrate
TL;DR: In this article, the authors report experiments with Cu films deposited on polymeric substrates and show that the rupture strains of the metal films are sensitive to their adhesion to the substrates, and well-bonded Cu films can sustain strains up to 10% without appreciable cracks and up to 30% with discontinuous microcracks.
Journal ArticleDOI
Shear band formation in plane strain
TL;DR: In this article, the growth of a single shear band in an infinite block of an incompressible solid undergoing plane strain tension or compression is studied for three material models, including nonlinear elasticity, kinematic hardening plasticity and a plasticity theory based on yield surface corner development.
Journal ArticleDOI
On strain hardening mechanism in gradient nanostructures
TL;DR: In this article, a dislocation density-based continuum plasticity model was proposed to investigate the strain hardening of a gradient interstitial-free steel by developing a dislocated density-and back stress model, in which the interaction of the component layers in the gradient structure was represented by incorporating geometrically necessary dislocations and back stress.
Journal ArticleDOI
Generalised forming limit diagrams showing increased forming limits with non-planar stress states
Julian M. Allwood,D.R. Shouler +1 more
TL;DR: In this paper, a generalised forming limit diagram (GFLD) is proposed to allow visual representation of the resulting forming limit strains, which can be used to expand process operating windows.
Journal ArticleDOI
Calculations of forming limit diagrams
TL;DR: In this paper, the right-hand side of the forming limit diagram (FLD) was calculated using a Marciniak-Kuczynski analysis with a nonquadratic anisotropic yield criterion.
References
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Journal ArticleDOI
Large Deformation Isotropic Elasticity—On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids
TL;DR: In this article, the correlation of theory and experiment for incompressible isotropic elastic solids under finite strain was extended to incorporate the effects of compressibility (under isothermal conditions) with the result that experimental data on the compressibility of rubberlike materials are adequately accounted for.
Journal ArticleDOI
Limit strains in the processes of stretch-forming sheet metal
TL;DR: In this paper, a theoretical analysis of the process of the generation of the groove based on anisotropic plasticity theory is presented, and the system of equations derived was solved numerically with the aid of a computer, which enabled the limiting strain of the sheet metal to be determined as a function of the material.
Journal ArticleDOI
A general theory of uniqueness and stability in elastic-plastic solids
TL;DR: A sufficient condition for uniqueness of the boundary-value problem set by given velocities on a part of the surface of a body and given nominal traction-rates on the remainder is established in this paper.
Journal ArticleDOI
On discontinuous plastic states, with special reference to localized necking in thin sheets
TL;DR: In this article, the authors investigated the permitted discontinuities of stress, velocity, and surface slope in a plastic-rigid sheet deformed in its plane, and the necessary restrictions on the stress-state and rate of workhardening were obtained for any yield function and plastic potential.
Journal ArticleDOI
Localized necking in thin sheets
Sigurd Støren,James R. Rice +1 more
TL;DR: Using a simplified constitutive model of a pointed vertex on subsequent yield loci, the onset of localized necking under biaxial stretching has been predicted and this result supports the hypothesis of vertex-formation on the yield locus under continued plastic flow.