OPTION DEFINING RELATIONS SOURCEWISE-TYPE USING AN INTERNAL TIME IN THE MECHANICS OF SUPERPLASTIC MATERIALS

Vasin R.A., Doctor of Physical and Mathematical Sciences, Institute of Mechanics of Lomonosov Moscow State University, Moscow, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.

Murav'ev A.V., Candidate of Physics and Mathematics Sciences, Faculty of Mechanics and Mathematics Lomonosov Moscow State University, Moscow, Russia

Chistjakov P.V., Candidate of Physics and Mathematics Sciences, Institute of Mechanics of Lomonosov Moscow State University, Moscow, Russia

It is existed the sourcewise form of a general relation between stresses and strains in the A.A. Ilyushin theory of elastoplastic processes. A particular case of such approach is the endochronic theory of plasticity, formulated by Valanis. In this theory an "internal time"is used as a parameter for a tracking of elastoplastic process. It is offered in this paper for the description of superplastic deformation processes to use generalized internal time which is taking into account also rheonomic properties of a material. The particular forms of corresponding constitutive equations and their abilities for the description of the diagrams of superplastic deformation for alloys are discussed.

elastoplastic processes, endochronic theory of plasticity, superplastic deformation processes

• Vasin R.A., Enikeev F.Y. Vvedenie v mehaniku sverhplastichnosti [Introduction to the mechanics of superplasticity]. Yfa, Gilem, 1998, vol. 1. 278 p.
• Vasin R.A. [et al.]. Superplastic flow: phenomenology and mechanics. Springer-Verlag, 2001. 363 p.
• Vasin R.A. [et al.]. O reologicheskih svojstvah splava VT-9 v sostojanii sverhplastichnosti [About the rheological properties of the alloy VT-9 in a state of superplasticity]. Sbornik dokladov: uprugost' i neuprugost' [Collection of reports: elasticity and inelasticity], 1993, no. 1, pp. 16-171.
• Il'jushin A.A. Ob osnovah obshhej matematicheskoj teorii plastichnosti [On the bases of the general mathematical theory of plasticity]. Vopr. teorii plastichnosti [Questions of plasticity theory], 1993, pp. 3-29.
• Valanis K.C. Fundamental consequences of a new intrinsic time measure. Arch. mech. stosow., 1980, vol. 32, no. 2, pp. 171-191.
• Vakylenko A.A. Svjaz' mikro- i makrosvojstv v uprugoplasticheskih sredah [Relations between micro and macro properties of elastic-plastic media]. Itogi nauki i tehniki [The results of science and technology], VINITI, 1992, no. 22, pp. 3-54.