Plane stress state problems for notched bodies whose plastic properties depend on the form of the stress state |
| |
Authors: | E V Lomakin A M Mel’nikov |
| |
Institution: | 1.Lomonosov Moscow State University,Leninskie Gory, Moscow,Russia |
| |
Abstract: | We consider one possible approach to the problem of describing the dependence of material plastic strain characteristics on
the stress hydrostatic component arising in many porous, fractured, and other inhomogeneous materials. The plastic strain
of the media under study is investigated under the plasticity assumption in the corresponding generalized form with the use
of the form parameter of the stress state. The plasticity constitutive relations are stated on the basis of the plastic flow
law associated with the accepted plasticity condition. For the conditions of plane stress state in the framework of the material
rigid-plastic model, a system of partial differential equations is obtained and conditions for its hyperbolicity are determined.
The relations for determining the stress fields and velocity fields in plastic domains are obtained, and their properties
are investigated. The problem of tension of a strip with symmetric angular notches is solved, where the stress fields are
determined and the continuous displacement rate field is constructed. The problem of uniform symmetric tension of a plane
with a circular hole is considered. The stress fields in a strip with symmetric circular notches are examined. A comparison
with solutions for plastically incompressible media whose properties are invariant with respect to the form of the stress
state is performed. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|