On the forms of relationship between two noncoaxial second-order tensors (the case of plane strain or a plane stress state)

A relationship between noncoaxial tensors of stress and creep strain rate is established for the case of plane strain or a plane stress state. The basis is the experimentally substantiated hypothesis on the existence of a creep surface, which is a set of loading paths in the stress space that, at any time, ensure identical values of the creep intensity for a certain chosen measure and orthogonality of the creep strain rate vector to this surface. The relation obtained completely corresponds to available experimental data for complex loading. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 2, pp. 135–140, March–April, 1998.