Journal of Siberian Federal University. Mathematics & Physics / Antiplane Strain of Hardening Elastoviscoplastic Medium

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (4)
Authors
Prokudin, Aleksandr N.; Firsov, Sergey V.
Contact information
Prokudin, Aleksandr N.: Institute of Engineering and Metallurgy Far East Branch of Russian Academy of Sciences Metallurgov, 1, Komsomolsk-on-Amur, 681005 Russia; ; Firsov, Sergey V.: Institute of Engineering and Metallurgy Far East Branch of Russian Academy of Sciences Metallurgov, 1, Komsomolsk-on-Amur, 681005 Russia;
Keywords
large strains; plasticity; creep; hardening
Abstract

Deforming of hardening elastoviscoplastic medium under the action of variable pressure gradient is con- sidered in this paper. The displacement vector of material points has only vertical component. Mathe- matical model is based on the theory of large elastoplastic deformations. Differential transport equations of tensors of reversible and irreversible deformations are formulated. Irreversible deformations are split up into plastic and creep deformations. The solution is obtained with the use of analytical and numerical methods. The influence of hardening and viscosity parameters on medium deformation is analyzed.

Pages
399-410
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/71753