Relation of the Mayer Index to the Characteristics of the Power Law of Metal Hardening

Author:

Ogar Petr M.1ORCID,Shilin Valery A.1,Ugryumova Elena V.1

Affiliation:

1. Bratsk State University

Abstract

The issues of determining the Mayer index depending on the parameters of strain hardening of an elastoplastic body described by the Hollomon equation are considered. The analysis of expressions connecting the engineering uniform deformation with the Mayer index is carried out. A new expression is obtained, a particular case of which is the result obtained by V.M. Matyunin et al. Applying the ratio of the maximum Mayer hardness to the Brinell hardness, the relationship of the ultimate strength to the Brinell hardness, and the Hollomon equation, a new expression of the Mayer law is obtained. The description of the radius of the contact area by a power function of the depth of the indenter insertion allowed us to represent the Mayer index as a ratio of known parameters obtained by finite element modeling for other purposes. The graphical dependences of the results obtained are presented.

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Reference35 articles.

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4. N.K. Myshkin, M.I. Petrokovets, Friction, lubrication, wear. Physical basis and engineering applications of tribology., FIZMATLIT, Moscow, (2007).

5. A.N. Bolotov, V.V. Meshkov, O.V. Sutyagin, M.V. Vasiliev, Influence of hardening on the characteristics of elastic-plastic contact surface roughness. Bulletin of Samara Scientific Center RAS-tion. 15 (2013) 313-315.

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