Plane stress state of media with plastic properties sensitive to the type of stress

Authors

  • Evgeny Victorovich Lomakin Lomonosov Moscow State University image/svg+xml
  • Andrey Mikhailovich Melnikov Lomonosov Moscow State University image/svg+xml

DOI:

https://doi.org/10.7242/1999-6691/2009.2.2.12

Keywords:

plane stress, tensile crack, stress type, plastic equilibrium

Abstract

Plane stress problems are considered for the media whose plastic properties are sensitive to the type of stress. The properties of equations characterizing the distribution of stresses and velocities in plastic regions are studied. Some features of the solutions of the problems of the limit plastic equilibrium of media are considered. The problem of a plastic thin sheet with a linear cut subjected to tension far from the cut and normal to its plane is solved. The problem of tension of a strip with V-shape cuts is considered as well. The dependence of the limit load on the parameter characterizing the sensitivity of the plastic properties of media to the type of stress is studied.

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References

Ломакин Е.В. Зависимость предельного состояния композитных и полимерных материалов от вида напряжённого состояния // Мех. композит. материалов. - 1988. - № 1. - С. 3-9.
Ломакин Е.В. Пластическое течение дилатирующей среды в условиях плоской деформации // Изв. РАН. МТТ. - 2000. - № 6. - С. 58-68.
Работнов Ю.Н. Ползучесть элементов конструкций. - М.: Наука, 1966. - 752с.
Фрейденталь А., Гейрингер Х. Математические теории неупругой сплошной среды. - М: Физматлит, 1962. - 432с.
Качанов Л.М. Основы теории пластичности. - М.: Наука, 1969. - 420с.
Hutchinson J.W. Plastic stress and strain fields at a crack tip // J. Mech. Phys. Solids. - 1968. - V. 16. - P. 337-347. DOI

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Lomakin E.V. Zavisimost’ predel’nogo sostoania kompozitnyh i polimernyh materialov ot vida naprazennogo sostoania // Meh. kompozit. materialov. - 1988. - No 1. - S. 3-9.
Lomakin E.V. Plasticeskoe tecenie dilatiruusej sredy v usloviah ploskoj deformacii // Izv. RAN. MTT. - 2000. - No 6. - S. 58-68.
Rabotnov U.N. Polzucest’ elementov konstrukcij. - M.: Nauka, 1966. - 752s.
Frejdental’ A., Gejringer H. Matematiceskie teorii neuprugoj splosnoj sredy. - M: Fizmatlit, 1962. - 432s.
Kacanov L.M. Osnovy teorii plasticnosti. - M.: Nauka, 1969. - 420s.
Hutchinson J.W. Plastic stress and strain fields at a crack tip // J. Mech. Phys. Solids. - 1968. - V. 16. - P. 337-347. DOI

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Published

2009-07-01

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Section

Articles

How to Cite

Lomakin, E. V., & Melnikov, A. M. (2009). Plane stress state of media with plastic properties sensitive to the type of stress. Computational Continuum Mechanics, 2(2), 48-64. https://doi.org/10.7242/1999-6691/2009.2.2.12