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Условие пластичности, связанное с линиями уровня поверхности деформационных состояний, для различных процессов деформирования

Условие пластичности, связанное с линиями уровня поверхности деформационных состояний, для различных процессов деформирования

Abstract

В рамках теории пластического течения рассматриваются особенности приложения условия пластичности, связанного с линиями уровня поверхности деформационных состояний упрочняющегося несжимаемого жестко-пластического тела, при различных напряженных состояниях, реализуемых в рамках плоской и осесимметричной деформациях, плоского напряженного состояния. Сравнение предлагаемого условия с условиями пластичности Мизеса и Треска проводится на основе построения кривых текучести в девиаторной плоскости и в плоскостях, соответствующих определенному напряженному состоянию. Показано, что предлагаемое условие пластичности описывает пластическое течение на ребре призмы Треска в условиях осесимметричной деформации.

On the basis of the theory of plastic flow the peculiarities of application of plasticity condition connected with level lines of strain state surface for work-hardening incompressible rigid-plastic body at different stressed states realized in the context of plane and axisymmetric strain, plane stressed state are considered. Comparison of the proposed condition with plasticity conditions of Mises and Tresca is carried out on the basis of construction of yield curves in deviatoric plane and in planes corresponding to certain stressed states. It is shown that the proposed plasticity condition describes plastic flow on the edge of Tresca prism in conditions of axisymmetric deformation.

Keywords

УПРОЧНЯЮЩЕЕСЯ НЕСЖИМАЕМОЕ ЖЕСТКОПЛАСТИЧЕСКОЕ ТЕЛО, УСЛОВИЕ ПЛАСТИЧНОСТИ, ПЛОСКАЯ ДЕФОРМАЦИЯ, ОСЕСИММЕТРИЧНАЯ ДЕФОРМАЦИЯ, ПЛОСКОЕ НАПРЯЖЕННОЕ СОСТОЯНИЕ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze