Summary
In a work by Wu et al. [11], an anisotropic quadratic form of plastic strain increment was used to define the intrinsic time in the endochronic theory of plasticity. Based on this new definition, an anisotropic yield function was derived. This new version of endochronic theory was shown to describe the expansion, translation, rotation, and distortion of the yield surface under loading conditions. In this paper, the previous theory has been extended to include unloading and reloading. A procedure has been established to determine the metric of the anisotropic intrinsic time using information related to the yield surface of a material. An agreement with experimental results has been demonstrated in terms of motion and distortion of yield surfaces and the stress-strain response of tubular specimens subjected to a proportional and a non-proportional path in the axial-torsional plastic strain space. The procedure of calculation is given in detail.
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Wu, H.C., Lu, J.K. Further development and application of an endochronic theory accounted for deformation induced anisotropy. Acta Mechanica 109, 11–26 (1995). https://doi.org/10.1007/BF01176813
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DOI: https://doi.org/10.1007/BF01176813