Metadata (abstracts and keywords) for the articles in the journal
E.V. Murashkin, Yu.N. Radayev On the polyvariability of the base equations of coupled micropolar thermoelasticity // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 3(57). p. 112-128
Author(s):
E.V. Murashkin, Yu.N. Radayev
Index of UDK:
539.374
DOI:
10.37972/chgpu.2023.57.3.010
Title:
On the polyvariability of the base equations of coupled micropolar thermoelasticity
The article is devoted to the study of polyvariance of dynamic equations of the theory of semi-isotropic micropolar thermoelasticity. Various options for assigning integer weights to field variables with subsequent determination of algebraic weights of pseudo-vector equations for the dynamics of a semi-isotropic thermoelastic body are considered and analyzed. These goals can be achieved using pseudo-invariant volume and area elements of odd integer weights. In addition, it is shown that an odd weight can be assigned to the pseudovector of spinor displacements. As a result, heat flow, force stress tensor, mass density, heat capacity, and shear modulus also turn out to be pseudotensor quantities of odd weight, i.e. sensitive to mirror reflections and inversions of threedimensional space. The postulate of absolute invariance of absolute thermodynamic temperature is discussed. Various versions of the coupled system of differential equations of dynamics and heat equations for a semi-isotropic micropolar thermoelastic body are obtained. The issues of mutual influence of algebraic weights of defining pseudoscalars are discussed in order to take into account their response to transformations of three-dimensional space that change its orientation to the opposite.
The contact details of authors:
Evgenii V. Murashkin, Cand. Sc., PhD, MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences,
101, korp. 1, pr. Vernadskogo, Moscow, 119526, Russian Federation.
Yuri N. Radayev, D. Sc., PhD, MSc, Professor of Continuum Mechanics, Leading Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 101, korp. 1, pr. Vernadskogo, Moscow, 119526, Russian Federation.
Russian
English