Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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

For citation:

Radchenko V. P., Afanaseva O. S., Glebov V. E. Influence of Residual Stresses on Geometric Parameters of Surface-Strengthened Beam. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2019, vol. 19, iss. 4, pp. 464-478. DOI: 10.18500/1816-9791-2019-19-4-464-478, EDN: YOWKNF

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
02.12.2019
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Language: 
Russian
Heading: 
Mechanics
Article type: 
Article
UDC: 
539.3:621.787
DOI: 
10.18500/1816-9791-2019-19-4-464-478
EDN: 
YOWKNF

Influence of Residual Stresses on Geometric Parameters of Surface-Strengthened Beam

Autors: 
Radchenko Vladimir P., Samara State Technical University
Afanaseva Olga S., Samara State Technical University
Glebov Victor E., Samara State Technical University
Abstract: 

The сomprehensive study of the formation of residual stresses and plastic deformations in prismatic samples of the EP742 alloy after ultrasonic hardening and their influence on the geometric parameters of the beam was conducted. Phenomenological model for the reconstruction of residual stress fields is proposed, and the verification of its adequacy to experimental data with four hardening modes is performed. The correspondence of the calculated and experimental data is observed. To assess the effect of the formed residual stresses on the geometric parameters of the beam the calculation method for initial strains based on using the analogy between the initial (permanent) plastic deformations and temperature deformations in an inhomogeneous temperature field is applied. This enabled us to reduce the consideration of the problem to the boundary value problem of thermoelasticity, which was further solved by numerical methods. The detailed study showed that residual stresses lead to bending effects. For a beam 100 * 10 * 10 mm, the calculated value of the arrow of maximum deflection was 210 um. The kinetics of changes in this quantity is determined depending on the beam thickness which in the calculations ranged from 2 to 10 mm with the same distribution of residual stresses in the hardened layer. It is shown that the magnitude of the deflection nonlinearly increases with a decreasing thickness while with a thickness of 2 mm it is 6.6 mm with a beam length of 100 mm. Illustrated material in the form of graphic and tabular information on the calculation results is given.

Key words: 
ultrasonic hardening
flat specimens
residual stresses
reconstruction
change in geometric parameters
experimental data
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Received: 
23.04.2019
Accepted: 
10.06.2019
Published: 
02.12.2019
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