Strain Ratio Relationship in Plastic Deformation

Abstract

In plastic deformation, it is generally assumed that the shear strains γ₁, γ₂, and γ₃. are proportional to the shearing stresses τ₁, τ₂ and τ₃. But the experiments by Lode and also the experiments by Taylor and Quinney show that this assumption is not correct. The way of deformation such as shown by experiments, however, is not yet accounted for. A new theory on plasticity has been advanced by the authors, and it was already explained that, not only the relation between plastic stresses under various states of stress, but also the forms of hysteresis curves, anisotropy due to plastic deformation, and the relation between the yielding of mild steel and the deformation beyond that could be well accounted for by this theory. As for strain ratio relationship this theory also conforms very closely with the experiments.