|
This article is cited in 1 scientific paper (total in 1 paper)
Mechanics
Rotational invariance of non-linear Lagrangians of type-II micropolar thermoelastic continuum
Y. N. Radayeva, V. A. Kovalevb a Institute for Problems in Mechanics of the Russian Academy of Sciences, Russia, 119526, Moscow, pr. Vernadskogo, 101, block 1
b Moscow City Government University of Management Moscow, Russia, 107045, Moscow, Sretenka st., 28
Abstract:
The paper contains new results related to extension of the field theoretical approach and its formalism to non-linear coupled micropolar thermoelastic media. A mathematical model of micropolar (MP) type-II (GNII) thermoelastic (TE) continuum is considered. A formulation of the least thermoelastic action principle is discussed. Partial differential equations subsequent to the least action principle are derived. The translational symmetries of non-linear Lagrangians are adopted. Those include an additional symmetry: translations of the thermal displacement. The rotational invariance of the action and corresponding Lagrangian is then studied. For micropolar type-II thermoelastic Lagrangians following the usual procedure independent rotationally invariant functional arguments are obtained. Objective forms of the Lagrangians satisfying the frame indifference principle are given.
Key words:
type-II micropolar thermoelasticity, field, extra field, action, Lagrangian, $d$-vector, invariance, rotation, frame indifference principle, deformation, extra deformation.
Citation:
Y. N. Radayev, V. A. Kovalev, “Rotational invariance of non-linear Lagrangians of type-II micropolar thermoelastic continuum”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(1) (2013), 96–102
Linking options:
https://www.mathnet.ru/eng/isu449 https://www.mathnet.ru/eng/isu/v13/i6/p96
|
Statistics & downloads: |
Abstract page: | 332 | Full-text PDF : | 98 | References: | 59 |
|