On Finite Strains in Continua with Complex Rheology

[摘要] The present study deals with the multiphysics modelling frameworks for the elasticcreep-plastic material. The proposed theory of large deformations is based on the classical formalism of nonequilibrium thermodynamics. Reversible and irreversible components of total deformations are derived by the constitutive differential equations. The development of this theory involves statements and solutions of the correct boundary value problems. The problem of deformation of the material in the vicinity of microdefect was considered. Resulting integro-differential equations system was derived.

[发布机构] National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe shosse, Moscow; 115409, Russia^1;Institute for Problems in Mechanics, Russian Academy of Sciences, Vernadski Ave. 101 Bldg. 1, Moscow; 119526, Russia^2;Bauman Moscow State Technical University, 2nd Baumanskaya Str. 5/1, Moscow; 105005, Russia^3

[效力级别] 数学

[关键词] Finite strain;Integro-differential equations systems;Micro-defects;Multi-physics modelling;Non equilibrium thermodynamics;Plastic materials