Determination of the Tensile Strain by Indenting the Sphere

Abstract

The value of the parameter m (previously the Mayer index) has been interpreted in a new way. For this purpose, in determining m, a new parameter was introduced consisting of a factor obtained from the Hollomon equation and a factor used in transforming the Mayer equation. Taking into account the new parameter, the dependences are determined that allow determining the tensile deformation. The essential significance of the new parameter is shown at its values of 0.95 ... 1.05. It is noted that the calculations of representative deformations and stresses according to Tabor are a small special case of the proposed method. On examples with a clear physical meaning, the possibility of using the proposed approach to determine representative deformations and stresses for the range of values of the hardening exponent has been confirmed. The graphical dependences of the results obtained are presented.