Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2022-6pp.1416-1423

Archive of Issues

Total articles in the database: 11223
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8011
In English (Mech. Solids): 3212

<< Previous article | Volume 57, Issue 6 / 2022 | Next article >>
E.V. Murashkin and Yu.N. Radayev, "An Algebraic Algorithm of Pseudotensors Weights Eliminating and Recovering," Mech. Solids. 57 (6), 1416-1423 (2022)
Year 2022 Volume 57 Number 6 Pages 1416-1423
DOI 10.3103/S0025654422060085
Title An Algebraic Algorithm of Pseudotensors Weights Eliminating and Recovering
Author(s) E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, evmurashkin@gmail.com)
Yu.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru)
Abstract The paper deals with an algebraic algorithm for the pseudotensors weights eliminating and recovering. The proposed algorithm allows us to reduce pseudotensors of arbitrary ranks and weights to absolute tensors of higher ranks. The weight of a pseudotensor is assumed to be an integer (positive or negative). The algorithm is based on the transformation of a pseudotensor of arbitrary rank and integer weight by using tensor product of permutation symbols. The requisite equations from algebra and analysis of pseudotensors are given and discussed. Based on the proposed algebraic algorithm, covariant constancy of permutation symbols and fundamental orienting pseudoscalar powers, a realisation of covariant differentiation of a pseudotensor field of arbitrary rank and integer weight is developed. The definition of the pseudotensor field gradient is then introduced.
Keywords pseudotensor, integer weight, fundamental orienting pseudoscalar, permutation symbol, covariant derivative, gradient, nabla operator
Received 09 June 2022Revised 10 July 2022Accepted 11 August 2022
Link to Fulltext
<< Previous article | Volume 57, Issue 6 / 2022 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100