Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
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


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 2, Pages 61–77
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-61-77 (Mi isu220) 		 
Mechanics

An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity

V. A. Kovaleva, Yu. N. Radayevb

a Moscow City Government University of Management, Chair of Applied Mathematics
b Institute for Problems in Mechanics RAS, Moscow
Full-text PDF (248 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-61-77
Abstract: The present study is devoted to study of a natural 12-dimensional symmetry algebra of the three-dimensional hyperbolic differential equations of the perfect plasticity, obtained by D. D. Ivlev in 1959 and formulated in isostatic co-ordinate net. An optimal system of one-dimensional subalgebras constructing algorithm for the Lie algebra is proposed. The optimal system (total 187 elements) is shown consist of a 3-parametrical element, twelve 2-parametrical elements, sixty six 1-parametrical elements and one hundred and eight individual elements.
Key words: theory of plasticity, isostatic co-ordinate, symmetry group, symmetry algebra, subalgebra, optimal system, algorithm.
Document Type: Article
UDC: 539.374
Language: Russian
Citation: V. A. Kovalev, Yu. N. Radayev, “An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 61–77
Citation in format AMSBIB
\Bibitem{KovRad11}
\by V.~A.~Kovalev, Yu.~N.~Radayev
\paper An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 2
\pages 61--77
\mathnet{http://mi.mathnet.ru/isu220}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-2-61-77}
Linking options:
  • https://www.mathnet.ru/eng/isu220
  • https://www.mathnet.ru/eng/isu/v11/i2/p61
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:329
    Full-text PDF :105
    References:57
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024