Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Lomakin E. V., Minaev N. G. Axisymmetric Stress Field Near a Circular Cut in a Solid with Stress State Dependent Plastic Properties. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2019, vol. 19, iss. 3, pp. 317-325. DOI: 10.18500/1816-9791-2019-19-3-317-325, EDN: TECLQN

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
31.08.2019
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Language: 
Russian
Heading: 
Mechanics
Article type: 
Article
UDC: 
539.3
DOI: 
10.18500/1816-9791-2019-19-3-317-325
EDN: 
TECLQN

Axisymmetric Stress Field Near a Circular Cut in a Solid with Stress State Dependent Plastic Properties

Autors: 
Lomakin Evgenii Viktorovich, Lomonosov Moscow State University
Minaev Nikita G., Lomonosov Moscow State University, Institute of Mechanics, Russia
Abstract: 

The paper analyzes the properties of the constitutive relations of the theory of plasticity for a continuum, which plastic properties depend on the type of stress state. The plasticity condition presented in the corresponding generalized form is used, where the parameter of the type of stress state is introduced, which is the ratio of the hydrostatic stress component to the equivalent von Mises stress, named in the literature the stress triaxiality. For a particular type of plasticity condition, an analytical solution of the problem for a solid with a circular hole under plane strain is obtained. The stress distributions corresponding to the obtained solution are compared with the ones for a solid whose plastic properties are invariant to the stress state using the Huber – Mises plasticity condition. The influence of the degree of sensitivity of materials properties to the type of stress state on the stress distributions in plastic areas are studied.

Key words: 
plasticity theory
plane deformation
Coulomb–More criterion
plane with a circular cut
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Received: 
19.05.2019
Accepted: 
16.06.2019
Published: 
31.08.2019
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