On the Nonequivalence of the Stress Space and Strain Space Formulations of Plasticity Theory

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Abstract
Yoder and Iwan [7] have recently claimed that the stress space and strain space formulations of plasticity are equivalent. This conflicts with the results of Casey and Naghdi [6]. The main objective of the present paper is to demonstrate, with the use of fairly general constitutive equations of the type employed in [7], that the stress space and strain space formulations of plasticity theory are not equivalent. It is also shown that if the loading criteria of strain space are adopted as primary, then the main features of [7] may be obtained by specializing the results of [6].

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