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06.02.2020 | Original Paper | Ausgabe 5/2020

Acta Mechanica 5/2020

Exact reconstruction formulas for plastic strain distribution in the surface-treated plate and their applications

Zeitschrift:
Acta Mechanica > Ausgabe 5/2020
Autoren:
Dmitriy Petukhov, Ilya Keller
Wichtige Hinweise
The work was performed in the framework of the national project (State Registration No. AAAA-A16-116121410009-8) and under partial financial support by the grant of the Russian Foundation for Basic Research (Project No. 17-08-01085-a).

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Abstract

Surface-treated bodies are considered under the assumption that the plastic strain distribution is uniform along the surface and changes only with depth. The elastic problem of the surface-treated plate is solved. The obtained solution is used to derive the explicit exact reconstruction formulas for distributions of main tangential components of the plastic strain tensor. It has been proved that the deflection of the surface-treated strip does not depend on the width of the strip. These results are intended for use in destructive testing methods and for numerical prediction of strength. The following initial data were used: (a) the dependence of the deflection on the thickness of the removed material layer obtained by the Davidenkov method, (b) the dependence of the tangential residual stress components on the depth, and (c) the dependence of the surface tangential stress components or elastic strain tangential components on the thickness of the removed material layer obtained by the X-ray diffraction method. The obtained formulas were analyzed and approved for all types of initial data, wherefore two experiments were conducted. A way to incorporate the plastic strain distribution into a model of a machine part of complex geometry to take into account the residual stress field in fatigue, wear, cracking, the and corrosion strength predictions is presented.

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