A class of plastic constitutive equations with vertex effect. IV. Applications to prediction of forming limit strains of metal sheets under nonproportional loadings
type: Item
instance of: scholarly article
title: A class of plastic constitutive equations with vertex effect. IV. Applications to prediction of forming limit strains of metal sheets under nonproportional loadings
zbMATH Open document ID: 0621.73038
DOI: 10.1016/0020-7683(85)90001-0
author: Manabu Gotoh
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: The simplified form of constitutive equation proposed by the author in part III of this series of papers [see the review above (Zbl 0621.73037)], is utilized to predict forming limit strains of metal sheets which are deformed along arbitrarily curved strain-paths without unloading, and deformed along straight strain path after another strain- path, with or without unloading at the strain-path change. The Stören- Rice localized bifurcation condition is used as the breakage condition [see \textit{S. Stören} and \textit{J. R. Rice}, J. Mech. Phys. Solids 23, 421-441 (1975; Zbl 0328.73029)]. A comparison of the theoretical and experimental curves is also presented. The existence of maximum and minimum forming limit diagrams is verified. The work presented by the author in the four papers of this series is interesting, and yields some very useful information on FLDs.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
zbMATH DE Number: 4007818
zbMATH Keywords: nonproportional loading
zbMATH Keywords: proportional loading
zbMATH Keywords: with unloading
zbMATH Keywords: plastic constitutive equations
zbMATH Keywords: strain-path change
zbMATH Keywords: forming limit strains
zbMATH Keywords: metal sheets
zbMATH Keywords: arbitrarily curved strain-paths
zbMATH Keywords: without unloading
zbMATH Keywords: straight strain path
zbMATH Keywords: localized bifurcation condition
zbMATH Keywords: breakage condition
reviewed by: Vinod K. Arya
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90001-0
OpenAlex ID: W2049770525
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description: scientific article; zbMATH DE number 4007818