Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


ISSN: 2073-5499    

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Metadata (abstracts and keywords) for the articles in the journal

E. V. Murashkin, Yu. N. Radayev Reducing natural forms of hemitropic energy potentials to conventional ones // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2022. № 4(54). p. 108-115
Author(s):E. V. Murashkin, Yu. N. Radayev
Index of UDK:539.374
DOI:10.37972/chgpu.2022.54.4.009
Title:Reducing natural forms of hemitropic energy potentials to conventional ones
Keywords:

pseudotensor, fundamental orienting pseudoscalar, quadratic energy form, potential detection, detecting pseudotensor, characteristic microlength, chiral medium, micropolar hemitropic continuum

Abstracts:

The paper is devoted to some problems concerning modeling hemitropic elastic media. Two main quadratic energy forms of a stress potential are introduced in terms of pseudotensors. These energy forms are assumed to be absolute invariants with respect to arbitrary transformations of the three-dimensional Euclidean space (including mirror reflections). As a result of applying special coordinate representations of semi-isotropic (hemitropic) pseudotensors of the fourth rank, it is possible to determine 9 covariantly constant constitutive pseudoscalars characterizing a hemitropic elastic medium. Symmetric and antisymmetric parts of asymmetric tensors and pseudotensors of strains and stresses are discriminated. The first and second base natural energy forms are compared and equations are derived for constitutive scalars and pseudoscalars, including the conventional hemitropic pseudoscalars: shear modulus, Poisson’s ratio, characteristic microlength (a pseudoscalar of negative weight, sensitive to reflections of three-dimensional space), and six dimensionless pseudoscalars.

The contact details of authors:

Murashkin Evgenii Valeryevich, Cand. Sc., PhD, MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Russia.

Radayev Yuri Nikolaevich, D. Sc., PhD, MSc, Professor of Continuum Mechanics, Leading Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Russia.

Pages:108-115
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