Inapplicability of the Hencky Formalism to the Description of Large Deformations in Shear

Abstract

One of the problems associated with the use of the Hencky equivalent strain in the analysis of experiments in large shear is that it cannot be paired with a work-conjugate equivalent stress. A further problem is associated with the observation that the textures developed in shear differ sharply from those formed during tension or compression, so that the rates of work hardening are also different. The effects of these differences on the von Mises equivalent stress/equivalent strain flow curves determined by testing are discussed.

Work Hardening and Microstructural Development during High-Pressure Torsion in Pure Iron

“…26,27) However, Onaka 25) pointed out that the version recommended by Jonas and his co-workers, £= ffiffi ffi 3 p , is indeed a nominal equivalent strain which is not appropriate when we deal with large deformation. Moreover, we feel that the current results shown in Fig.…”

Some Physical Characteristics of Strain Hardening in Severe Plastic Deformation

“…[8] For similar reasons, the Hencky-based work is inconsistent with the heat generated during testing. [8] For similar reasons, the Hencky-based work is inconsistent with the heat generated during testing.…”