Metadata (abstracts and keywords) for the articles in the journal
E. V. Murashkin, Yu. N. Radayev Multiweights thermomechanics of hemitropic micropolar solids // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 4(58). p. 86-120
Author(s):
E. V. Murashkin, Yu. N. Radayev
Index of UDK:
539.374
DOI:
10.37972/chgpu.2023.58.4.010
Title:
Multiweights thermomechanics of hemitropic micropolar solids
The article is devoted to the problems of determining the algebraic weights of microand nanoscale multi-weight characteristics of the hemitropic micropolar thermomechanics. The fundamental concepts of pseudoinvariant volume and area elements of odd integer weights in threedimensional space are discussed. The developing theory of hemitropic micropolar thermoelasticity is formulated in terms of a contravariant pseudovector of spinor displacements of a positive odd weight with the fundamental principle of the absolute invariance of absolute thermodynamic temperature, mass and mass densities of: entropy, internal energy, Helmholtz free energy, controlled and uncontrolled entropy production. Multi-weight pseudotensor formulations of wireless transmission principles and a reduced energy balance equation are proposed. Multiweights formulas for pseudovector differential equations of statics and dynamics of a hemitropic thermoelastic body are obtained and analyzed. The problem of mutual influence of algebraic weights of constitutive pseudoscalars are discussed in order to take into account their transformations as a result of the transformation of three-dimensional space, changing the orientation of the coordinate basis 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