Appropriateness of the Hencky Equivalent Strain as the Quantity to Represent the Degree of Severe Plastic Deformation

Abstract

The Hencky strain is a logarithmic strain extended to a three-dimensional analysis. Although Onaka has shown that the Hencky equivalent strain is an appropriate measure of large simple-shear deformation (2010), Jonas et al. (2011) have recently presented a paper claiming that the application of the Hencky strain to large simple-shear deformation is in error. In the present paper, it is shown that the claim of Jonas et al. is contrary to recent accepted knowledge on the Hencky strain.

Hardening mechanism of commercially pure Mg processed by high pressure torsion at room temperature

“…For discussion and analysis of the validity of the latter equations, see e.g. [35,36,37,38,39,40,41,42,43]. It is noted that the data at the equivalent strain very close to zero in Fig.…”

High temperature and dynamic testing of AHSS for an analytical description of the adiabatic cutting process

“…It should be noted that for such high deformations, particularly this formulation of equivalent strain represents a feasible measure [9]. The width of the adiabatic shear band (~ 40 µm) was determined by experiments analyzing adiabatic blanking of an axisymmetric coin with diameter of 30 mm.…”

Log Angles: Characteristic Angles of Crystal Orientation Given by the Logarithm of Rotation Matrix

“…The logarithm of matrix has been considered when we have derived the Hencky strains from stretch tensors. [16][17][18][19] The procedure to obtain the logarithm of matrix in this case is as follows. matrices to the original coordinate system.…”