Metadata (abstracts and keywords) for the articles in the journal
Murashkin E.V., Stadnik N.E. Multiweight theory of weak discontinuities propagating in semi-isotropic thermoelastic micropolar medium // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 2(60). p. 87-106
Author(s):
Murashkin E.V., Stadnik N.E.
Index of UDK:
539.374
DOI:
10.37972/chgpu.2024.60.2.007
Title:
Multiweight theory of weak discontinuities propagating in semi-isotropic thermoelastic micropolar medium
In this paper, we consider a multiweight theory of weak discontinuities of the temperature increment, translational and spinor displacements in a semi-isotropic thermoelastic micropolar medium. The mathematical theory proposed for consideration is substantially based on the achievements of modern pseudotensor calculus. Definitions of multiweight pseudotensor elements of area and volume are revisited. A general multiweight form of a pseudotensor equation on a wave surface propagating in a semi-isotropic thermoelastic micropolar medium is derived. Weak discontinuities of solutions of the coupled system of pseudovector partial differential equations of semi-isotropic micropolar thermoelasticity are studied. For this aim the geometric and kinematic Hadamard–Thomas conditions are generalized to the pseudotensor case taking account of the pseudotensor geometry of the propagating surface of weak discontinuities. The propagation velocities of wave surfaces of translational and spinor displacements are found. A classification of weak discontinuities of temperature, translational and spinor displacements is carried out and their spatial polarizations are studied. The conditions of athermality of propagating wave surfaces of weak discontinuities are established.
The contact details of authors:
Evgenii V. Murashkin, Cand. Sci. Phys. & Math., MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; e-mail: evmurashkin@gmail.ru; https://orcid.org/0000-0002-3267-4742; AuthorID: 129570
Nikita E. Stadnik, MD, Minor Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; e-mail: nik-122@mail.ru; https://orcid.org/0000-0002-0187-8048; AuthorID: 961836
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