Abstract
An extended theory of the symmetry limit is presented for a three-dimensional continuum model subjected to completely reversed cyclic loading. The present theory is developed for elastic perfectly plastic solids obeying the flow theory of plasticity and is limited to shakedown regions. Relations between stress rates and strain rates associated with the incremental variation of steady-state are derived according to the similar procedure to the derivation from uniaxial material laws presented by the senior author. Equations for symmetric and anti-symmetric components of steady-state are derived by the formulation employing a pair of coordinate systems located symmetrically with respect to the initial central plane of the analytical model.
