Abstract
For an arbitrary isotropic and linear kinematic hardening and loading paths given in the form of arbitrary multisection polygonal lines in the five-dimensional deviator space of stresses, we studied analytically an initially isotropic elastoplastic von Mises material and the associated flow rule. The solutions obtained are valid for arbitrary relationships governing the variation of the spherical component of the stress tensor. Explicit solutions are obtained for several important cases of material behavior.
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Additional information
Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 6, pp. 81–92, November–December, 1999.
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Romashchenko, V.A., Lepikhin, P.P. & Ivashchenko, K.B. Exact solution of problems of flow theory with isotropic-kinematic hardening. Part 1. Setting the loading trajectory in the space of stresses. Strength Mater 31, 582–591 (1999). https://doi.org/10.1007/BF02510894
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DOI: https://doi.org/10.1007/BF02510894