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Acta Mechanica

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06-02-2020 | Original Paper

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

Authors: Dmitriy Petukhov, Ilya Keller

Published in: Acta Mechanica | Issue 5/2020

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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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Title: Exact reconstruction formulas for plastic strain distribution in the surface-treated plate and their applications
Authors: Dmitriy Petukhov
Ilya Keller
Publication date: 06-02-2020
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 5/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02625-7

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

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