Open AccessNon-linear description of hardening zone of steel
Author(s) -
В. Н. Шинкин
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1431/1/012069
Subject(s) - tangent , hardening (computing) , inverse , mathematics , strain hardening exponent , mathematical analysis , geometry , materials science , composite material , layer (electronics)
The most well-known classical descriptions of the steel’s hardening area are the non-linear descriptions by Nadai and Ludwik. However, all these approachings have a large relative error (up to 35-45 %) with respect to the experimental hardening curves obtained on the modern universal tensile machines. In addition, the significant drawback of the Nadai’s and Ludwik’s approachings is the infinite derivative (the tangent of inclination angle) of the stress curve at the beginning of the stretching of the rod (ε = 0). It contradicts the classical Hooke’s law for the small elastic deformations and is not observed in none of the metals in practice. Below we propose other method of the direct and inverse non-linear descriptions using the finite or infinite power series with the displacement of the relative deformation. It is shown that this method is much more accurate than the classical description methods.