On a Physical Field Theory of Micropolar Thermoelasticity

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Kovalev, Vladimir^1 ; Murashkin, Evgenii^2,3,4 ; Radayev, Yuri^3

Samara State Technical University, 244 Molodogvardeyskaya Str., Samara

443100, Russia^1

National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe shosse, Moscow

115409, Russia^2

Institute for Problems in Mechanics, Russian Academy of Sciences, Vernadski Ave. 101 Bldg. 1, Moscow

119526, Russia^3

Bauman Moscow State Technical University, 2nd Baumanskaya Str. 5/1, Moscow

105005, Russia^4

关键词: Complete system;    Conservation law;    Lagrangian density;    Least action principle;    Micropolar continuum;    Micropolar thermoelasticity;    Physical field;    Thermo-elastic continuum;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012043/pdf
DOI  :  10.1088/1742-6596/788/1/012043

来源: IOP

【 摘 要 】

A non-linear mathematical model of thermoelastic micropolar continuum is developed. The model is presented in terms of 4-covariant field theoretical formalism. Lagrangian density for thermoelastic continuum with three micropolar directors is given and the least action principle is formulated. Corresponding field equations of micropolar thermoelasticity are obtained. Variational symmetries of the thermoelastic action are used to formulate covariant conservation laws. Following the usual procedure, micropolar thermoelastic Lagrangians are represented as functions of independent rotationally invariant arguments. The latter constitutes a complete system of objective finite strain measures of micropolar thermoelasticity. Constitutive equations of micropolar thermoelasticity are obtained and discussed.