| Abstract: | This paper gives the results of investigations aimed at the development and elaboration of a theory for the relationships
governing plastic-deformation processes in the contemporary mathematical theory of plasticity. We discuss its two main classical
directions: the theory of flow and the theory of processes. The first direction is based on the concept of existence of a
limiting surface and the possibility of decomposition of strains into elastic and plastic components. On the contrary, the
second direction, which is progressing rapidly, does not use the concept of existence of limiting surfaces and does not allow
decomposition of strains into elastic and plastic components except for the cases of simple loading and simple unloading.
It is thought that in complex loading and complex unloading the deformation is elastoplastic (partially plastic or partially
elastic). We believe that these two directions in the theory of plasticity in the case of complex loading will eventually
approach each other because they are intended for the investigation of the mechanisms of the same physicomechanical processes
of plastic deformation of various media. This work shows one possibility of such approach.
Tver' State Technical University, Tver', Russia. Translated from Problemy Prochnosti, No. 1, pp. 22–41, January–February,
2000. |
