On the Hypothesis of Local Determinability and a Concise Stress-Strain Relation for Curved Strain Path

概要

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The hypothesis of local determinability proposed by V.S. Lensky was experimentally confirmed to hold with high accuracy on a curved part of strain path. That is, a rate dθ/ds (θ is a difference between directions of stress and strain increment vectors, and s is a length of strain path) depends only on the current values of θ(s) and curvature K(s) of strain path. Experiments were performed along some strain paths with two circular parts in a two-dimensional space of strain, by applying combined loads of axial force and torque to thin-walled tubular specimens of initially isotropic brass. A simple stress-strain relation which reflects the curvature effect was formulated by using the hypothesis for a practically important set of strain paths with intermediate curvature.