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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013 Issue 9/2(110), Pages 43–54 (Mi vsgu299)

Mechanics

Plasticity condition connected with level lines of strain state surface for different deformation processes

A. A. Bukhanko

The Dept. of Higher Mathematics, Samara State Aerospace University, Samara, 443086, Russian Federation

Abstract: 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: work-hardening incompressible rigid-plastic body, plasticity condition, plane strain, axisymmetric strain, plane stress.

UDC: 539.379

Received: 18.11.2013
Revised: 19.12.2013



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