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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 5, Pages 40–47
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-6 (Mi vmumm4566) 		 
Mechanics

Behavior singularities of the simplest nonlinear elasticity models constructed on the basis of new holonomic tensor measures

E. S. Klimov, G. L. Brovko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-6
Abstract: We consider new holonomic tensor measures of strain and stresses and build nonlinear elasticity models for which the problems of stretching a thin wide plate and uniaxial stretching a rod from incompressible materials are solved. These models are congruent with classical ones when deformation is small, and they demonstrate essentially various properties at large deformations.
Key words: nonlinear elasticity, finite strain, strain tensors, stress tensors, Hooke's law.
Received: 08.02.2023
English version:
Moscow University Måchanics Bulletin, 2023, Volume 78, Issue 5, Pages 119–127
DOI: https://doi.org/10.3103/S0027133023050047
Bibliographic databases:
Document Type: Article
UDC: 514.86 : [531.1/3 : 539.3]
Language: Russian
Citation: E. S. Klimov, G. L. Brovko, “Behavior singularities of the simplest nonlinear elasticity models constructed on the basis of new holonomic tensor measures”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5, 40–47; Moscow University Måchanics Bulletin, 78:5 (2023), 119–127
Citation in format AMSBIB
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\by E.~S.~Klimov, G.~L.~Brovko
\paper Behavior singularities of the simplest nonlinear elasticity models constructed on the basis of new holonomic tensor measures
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 5
\pages 40--47
\mathnet{http://mi.mathnet.ru/vmumm4566}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-5-6}
\elib{https://elibrary.ru/item.asp?id=54669691}
\transl
\jour Moscow University Måchanics Bulletin
\yr 2023
\vol 78
\issue 5
\pages 119--127
\crossref{https://doi.org/10.3103/S0027133023050047}
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