Metadata (abstracts and keywords) for the articles in the journal
E.V. Murashkin, Yu. N. Radaev Сonservation laws for hyperbolic thermoelasticity corresponding to the variational symmetries of action // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2018. № 3(37). p. 18-25
Author(s):
E.V. Murashkin, Yu. N. Radaev
Index of UDK:
539.374
DOI:
Title:
Сonservation laws for hyperbolic thermoelasticity corresponding to the variational symmetries of action
The mathematical modelling of hyperbolic thermoelastic continuum is carried out in terms of the field theory formalism. The action and the action density for the hyperbolic thermoelastic continuum are discussed. The energy–momentum tensor is constructed in virtue of translational symmetries of the action density. The Hamiltonian, the Umov–Poynting vector, the pseudomomentum vector and the Eshelby stress tensor are derived сomprising the all physical quantaties of the classical field theory. Scale symmetries of the action are investigated and the corresponding conservation laws are obtained.
The contact details of authors:
Murashkin Evgenii Valeryevich
e-mail: murashkin@ipmnet.ru, y.radayev@gmail.com, Ph.D., Senior Researcher, Institute for Problems in Mechanics of RAS, Moscow, Russia.
Radayev Yuri Nickolaevich
e-mail: radayev@ipmnet.ru, y.radayev@gmail.com, Dr. Sci. Phys. & Math., Professor, Leading Researcher, Institute for Problems in Mechanics of RAS, Moscow, Russia.
Russian
English