Bending Effects on Flow Localization in Metallic Sheets

In the present work the dependence of critical strain on thickness in finitely stretched metallic sheets is investigated. A finite strain axisymmetric shell theory is developed for the modelling of the punch stretching of a thick circular plate and a consistent onset of localization criterion for th...

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Bibliographic Details
Published in:Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1986-08, Vol.406 (1831), p.205-226
Main Authors: Triantafyllidis, N., Samanta, Shyam K.
Format: Article
Language:English
Subjects:
Applied sciences
Bending
Condensed matter: structure, mechanical and thermal properties
Cross-disciplinary physics: materials science
rheology
Deformation
Elasticity. Plasticity
Equilibrium equations
Exact sciences and technology
Materials science
Mechanical and acoustical properties of condensed matter
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Metals, semimetals and alloys
Metals. Metallurgy
Necking
Perceptual localization
Physics
Plasticity
Shell theory
Specific materials
Steels
Strain distribution
Vertices
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Summary:In the present work the dependence of critical strain on thickness in finitely stretched metallic sheets is investigated. A finite strain axisymmetric shell theory is developed for the modelling of the punch stretching of a thick circular plate and a consistent onset of localization criterion for the shell is proposed. Experimental results as well as numerical calcutions, in the case of mild steel plates deforming under the action of a frictionless hemispherical punch, show that if the onset of strain localization is used as the failure criterion, the material’s thickness has very little influence for plate thicknesses usually used in sheet forming. The opposite held viewpoint in the literature that the sheet thickness significantly affects the critical strain is due to the experimental use of the fracture strain as the failure strain.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1986.0073