General deformation flow theory

Abstract

This article represents the theory of general rela-tion between stresses and deformations in elastic-plastic bodies. Deformation theory, the theory of yield plasticity and endochronical theory of unelasticity are analyzed. Ex-perimental and teoretical studies show that in case of sim-ple loading the results of deformational theory and yield theory are the same. Howevwer, in case of complicated loading the obtained results are different. In case of linear loading the results of deformational theory are the same and in case of nonlinear loading the deformational theory show no difference from the trajectory of loading. Then yield theory shows dependence on the way of loading. Thus, yield theory fits better than the deformational theory in case of complicated loading. Endochronical theory of unelasticity allows full evaluation of time influence on the processes of material deformation. Endochronical theory of unelasticity describes only a limited surface, but not the surface of plasticity as classical theory of plasticity. In case of complicated deformation, as the most applicable the general theory of deformation flow is suggested; this the-ory evaluates overdue of plastic deformations during the loading and processes of internal deformation.