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contributor authorE. Nakamachi
contributor authorR. Sowerby
date accessioned2017-05-08T23:26:31Z
date available2017-05-08T23:26:31Z
date copyrightSeptember, 1988
date issued1988
identifier issn0021-8936
identifier otherJAMCAV-26297#667_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103499
description abstractThe paper presents an updated Lagrangian-type finite element procedure, formulated with reference to a surface embedded coordinated system. Membrane shell theory is employed, and an attempt is made to calculate the strain distribution incurred by a peripherally clamped square plate, when impressed by a rigid punch. Three different punch geometries were considered. The material is treated as a rate insentive, elastic work-hardening solid, which obeys the J2 flow theory; both finite deformation and normal anisotropy can be considered. A linear relationship between the Jaumann rate of Cauchy stress and the Eulerian rate of Green’s strain tensor is derived. A slip-stick model was adopted for the interfacial frictional conditions. This was achieved by considering the equilibrium of a constant strain-element node in contact with the tools, and deciding whether such a node would stick or slip under Coulomb friction conditions. It is demonstrated that the punch geometry and frictional conditions exert a strong influence on the deformation mode, and hence, upon the overall strain distribution. The predictions were checked against experimental observations when stretch-forming square plates of pure aluminum, 0.5-mm thick. Contours of equal height on the deforming blanks were determined using a Moiŕe fringe technique. The agreement between theory and experiment was favorable.
publisherThe American Society of Mechanical Engineers (ASME)
titleFinite Element Modeling of the Punch Stretching of Square Plates
typeJournal Paper
journal volume55
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3125846
journal fristpage667
journal lastpage671
identifier eissn1528-9036
keywordsFinite element analysis
keywordsModeling
keywordsPlates (structures)
keywordsDeformation
keywordsFriction
keywordsAluminum
keywordsCoulombs
keywordsStress
keywordsAnisotropy
keywordsEquilibrium (Physics)
keywordsTensors
keywordsEquipment and tools
keywordsGeometry
keywordsMembranes
keywordsShells
keywordsWork hardening
keywordsBlanks AND Flow (Dynamics)
treeJournal of Applied Mechanics:;1988:;volume( 055 ):;issue: 003
contenttypeFulltext


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