Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2018, Volume 160, Book 1, Pages 196–206 (Mi uzku1444)  
Transformation geometry under simple shear

A. M. Dumanskya, M. Y. Rusinb, V. I. Nepovinnykhb

a Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, 101990 Russia
b AO ORPE Technologiya, Obninsk, 249031 Russia
Full-text PDF (713 kB)
References:
PDF
HTML
Abstract: Transformation geometry under simple shear has been analyzed. For this purpose, the mathematical apparatus of the nonlinear theory of elasticity has been used. The sequence of transformations under simple shear has been investigated. Comparison with polar decomposition has been performed. The regions of compression and extension in the deformation ellipse have been determined. It has been shown that a simple shift can be represented in the form of successive actions of rotation, deformation and rotation.
Keywords: simple shear, deformation ellipse, tensor of deformation gradient, Cauchy–Green tensor, polar decomposition.
Received: 17.01.2018
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. M. Dumansky, M. Y. Rusin, V. I. Nepovinnykh, “Transformation geometry under simple shear”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160, no. 1, Kazan University, Kazan, 2018, 196–206
Citation in format AMSBIB
\Bibitem{DumRusNep18}
\by A.~M.~Dumansky, M.~Y.~Rusin, V.~I.~Nepovinnykh
\paper Transformation geometry under simple shear
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2018
\vol 160
\issue 1
\pages 196--206
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1444}
Linking options:
  • https://www.mathnet.ru/eng/uzku1444
  • https://www.mathnet.ru/eng/uzku/v160/i1/p196
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:113
    Full-text PDF :81
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024