One generalization of the hypothesis of local determinability

The article deals with the problem of constructing determining relations of the theory of plasticity for arbitrary complex processes of deformation. The point of departure are relations based on V. S. Lenskii's hypothesis of local determinability. It is suggested to generalize the equations of the hypothesis of local determinability to the scalar characteristics of the functional of plasticity. It is shown that analogous relations can be obtained in the endochronic theory of plasticity. The results of calculation are compared with the experiment entailing complex loading, and it is established that not only vector characteristics but also scalar characteristics of the functional of plasticity are perfectly satisfactorily described within the generalized variant of the hypothesis of local determinability suggested in the present work.