Divergent Conservation Laws in Hyperbolic Thermoelasticity

被引：0
|
作者：
Murashkin, E. V. [1 ,2 ,3 ]
Radayev, Y. N. [1 ,4 ]
机构：
[1] Russian Acad Sci, Ishlinsky Inst Problems Mech, Prospekt Vernadskogo 101-1, Moscow 119526, Russia
[2] Bauman Moscow State Tech Univ, Ul 2 Ya Baumanskaya,5-1, Moscow 105005, Russia
[3] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Kashirskoe Shosse 31, Moscow 115409, Russia
[4] Kyoto Univ, Grad Sch Energy Sci, Dept Energy Convers Sci, Bldg 8, Kyoto 6068501, Japan
来源：
EIGHTH POLYAKHOV'S READING | 2018年 / 1959卷
基金：
俄罗斯基础研究基金会;
关键词：
WEAK DISCONTINUITIES;
D O I：
10.1063/1.5034700
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The present study is devoted to the problem of formulation of conservation laws in divergent form for hyperbolic thermoelastic continua. The field formalism is applied to study the problem. A natural density of thermoelastic action and the corresponding variational least action principle are formulated. A special form of the first variation of the action is employed to obtain 4-covariant divergent conservation laws. Differential field equations and constitutive laws are derived from a special form of the first variation of the action integral. The objectivity of constitutive equations is provided by the rotationally invariant forms of the Lagrangian employed.
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页数：5
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