Exact solution of problems of flow theory with isotropic-kinematic hardening. Part 1. Setting the loading trajectory in the space of stresses

A numerical simulation model of cyclic hardening behavior of AC4C-T6 for LNG cargo pump using finite element analysis

“…Therefore, plastic behavior of materials can be adequately described by the combined model of isotropic and kinematic hardening rather than by models presuming either strictly isotropic or strictly kinematic hardening behavior (Romashchenko, Lepikhin, & Ivashchenko, 1990). The combined model is described by the theory of flow combining the von Mises yield condition, the associated flow rule, and isotropic-kinematic strain hardening.…”

Exact integration of the von Mises elastoplasticity model with combined linear isotropic-kinematic hardening

“…Romashchenko et al (1999) proposed an analytical solution when the loading is given in the form of multisection polygonal lines in the deviatoric stress space. The solution obtained by Ristinmaa and Tryding (1993) requires numerical integration during the stress update procedure.…”

Integration method for constitutive equation of von Mises elastoplasticity with linear hardening

“…Due the complexity of the governing constitutive relations corresponding to the combined hardening case, fully analytical solution is not given in the literature. The problem was discussed in [5], [16], [17], [24] deriving some efficient approximate and nearly exact solutions. Efficient numerical integration techniques can be found in [2-4, 6, 8, 12, 15, 16].…”