Elastoplastic Equilibrium of a Hollow Thick-Walled Radially Inhomogeneous Ball

The article deals with the axisymmetric elastoplastic problem for a hollow thick-walled ball (plane deformed state), loaded from the inside and outside by uniform pressures proportional to one parameter. The material is considered to be perfectly plastic, with the elastic modulus and yield strength...

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Bibliographic Details
Published in:Key engineering materials 2019-06, Vol.805, p.198-203
Main Author: Andreev, Vladimir I.
Format: Article
Language:English
Subjects:
Elastic deformation
Elastoplasticity
Inhomogeneity
Modulus of elasticity
Parameters
Thick walls
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Summary:The article deals with the axisymmetric elastoplastic problem for a hollow thick-walled ball (plane deformed state), loaded from the inside and outside by uniform pressures proportional to one parameter. The material is considered to be perfectly plastic, with the elastic modulus and yield strength generally are arbitrary functions of the radius. In addition, the material is considered to be incompressible in both plastic and elastic zones. On the basis of the criteria for the plasticity of Huber - Mises and Tresca - Saint-Venant, the radius at which the first plastic deformations occur is determined. It is shown that, depending on the functions of the inhomogeneity of elastic and plastic parameters and loads, the occurrence of plastic deformations is possible both on the surfaces and on the inner walls of the ball.
ISSN:1013-9826
1662-9795
1662-9795
DOI:10.4028/www.scientific.net/KEM.805.198