Onaka has recently (2010) discussed the application of the Hencky equivalent strain to the description of large strains in simple shear in the Journal of the Japan Institute of Metals. We find this analysis in error and introduce below what we consider as the appropriate approach to this problem. We also explain why the Hencky strain is unsuitable for converting the experimental results obtained in large strain shear and torsion to loading along other strain paths.
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Jonas et al. (2011) studied this question.
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