RUS  ENG
Full version
JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2021 Volume 25, Number 3, Pages 457–474 (Mi vsgtu1870)

This article is cited in 9 papers

Mechanics of Solids

On the constitutive pseudoscalars of hemitropic micropolar media in inverse coordinate frames

E. V. Murashkin, Yu. N. Radayev

Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russian Federation

Abstract: The paper is devoted to the constitutive pseudoscalars associated with the theory of hemitropic micropolar continuum. The basic concepts of pseudotensor algebra are presented. The pseudotensor form of the hemitropic micropolar elastic potential is given, based on 9 constitutive pseudoscalars (3 are pseudoscalars and 6 are absolute scalars). The weights of the constitutive pseudoscalars are calculated. The fundamental orienting pseudoscalar of weight \(+1\) is used to formulate transformation rules for constitutive pseudoscalars. The governing equations of the hemitropic micropolar elastic continuum are derived. The equations of the dynamics of the hemitropic micropolar continuum are discussed in terms of pseudotensors in right- and left-handed Cartesian coordinate systems. The presence of inverse modes along with normal ones is shown for wave propagation across the hemitropic micropolar continuum.

Keywords: micropolar hemitropic continuum, microrotation, pseudoscalar, relative tensor, fundamental orienting pseudoscalar, inversion of space, polarisation.

UDC: 539.3

MSC: 15A72, 53A45, 74D05

Received: June 23, 2021
Revised: July 29, 2021
Accepted: August 25, 2021
First online: September 27, 2021

DOI: 10.14498/vsgtu1870



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024