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contributor authorD. B. Bogy
date accessioned2017-05-09T00:15:57Z
date available2017-05-09T00:15:57Z
date copyrightSeptember, 1969
date issued1969
identifier issn0021-8936
identifier otherJAMCAV-25895#528_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/131690
description abstractA stress field σij (χ, t) depending on position χ and time t will be called separable if the time-dependence enters only through a scalar multiplier; i. e., if σij(χ, t)=s(χ, t)σ̂ij(χ). It is shown here that elastic-plastic plane-strain solutions in the infinitesimal (flow) theory of plasticity satisfying Tresca’s yield criterion and associated flow rule with linear isotropic hardening, based on either equivalent plastic strain or total plastic work, can occur with separable stress fields only in the following instances: (a) solutions with uniaxial stress fields, as in bending, (b) solutions with stress fields such that the entire domain changes from elastic to plastic at the same time, and (c) solutions with stress fields for which the elastic-plastic boundary coincides with a principal shear stress trajectory. Whether or not a plasticity solution has a separable stress field can be determined a priori by examining the corresponding elasticity solution.
publisherThe American Society of Mechanical Engineers (ASME)
titleElastic-Plastic Plane-Strain Solutions With Separable Stress Fields
typeJournal Paper
journal volume36
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3564712
journal fristpage528
journal lastpage532
identifier eissn1528-9036
keywordsStress
keywordsPlane strain
keywordsFlow (Dynamics)
keywordsPlasticity
keywordsScalars
keywordsElasticity
keywordsHardening
keywordsShear (Mechanics) AND Trajectories (Physics)
treeJournal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003
contenttypeFulltext


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