19 / 19
А.А. Тырымов
70
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2017. № 3
[9]
Tyrymov A.A. Numerical modeling and analysis of the stress-strain state in an anisotropic
rock mass by the method of graphs.
Journal of Mining Science
, 2012, vol. 48, no. 5, pp. 812–824.
DOI: 10.1134/S1062739148050061
Available at:
http://link.springer.com/article/10.1134%2FS1062739148050061[10]
Tyrymov A.A. Graph approach for finite-element based model of an elastic body under condi-
tions of axisymmetric deformation.
Izvestiya Saratovskogo un-ta. Novaya seriya. Seriya «Matema-
tika. Mekhanika. Informatika»
[Izvestiya of Saratov University. New Series. Series: Mathematics.
Mechanics. Informatics], 2012, vol. 12, no. 4, pp. 96–106 (in Russ.).
Available at:
http://mmi.sgu.ru/sites/mmi.sgu.ru/files/16_1.pdf[11]
Tyrymov A.A. Application of graph models in the analysis of the stress-strain state of the rock.
Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal
[News of the Higher Institutions. Mining
Journal], 2013, no. 1, pp. 52–59 (in Russ.).
[12]
Tyrymov A.A. Graph model of the elastic medium in polar coordinate system.
Izvestiya vuzov.
Mashinostroenie
[Proceedings of Higher Educational Institutions. Маchine Building], 1999,
no. 1, pp. 3–15 (in Russ.).
[13]
Tyrymov A.A. Triangular element of graph model in polar coordinate system.
Izvestiya vuzov.
Mashinostroenie
[Proceedings of Higher Educational Institutions. Маchine Building], 2000,
no. 1-2, pp. 19–29 (in Russ.).
[14]
Gallagher R.H. Finite element analysis: Fundamentals. Prentice-Hall, 1974. 420 p.
[15]
Demidov S.P. Teoriya uprugosti [Elasticity theory]. Moscow, Vysshaya shkola Publ., 1979.
432 p.
[16]
Swamy M.N.S., Thulasiraman K. Graphs, networks, and algorithms. Wiley, 1981. 592 p.
[17]
Cook W.A. The effect of geometric shape on two-dimensional finite elements.
Nuclear
Engineering and Design
, 1982, no. 70, pp. 13–26.
Tyrymov A.A.
— Cand. Sc. (Phys.-Math.), Assoc. Professor of Applied Mathematics Depart-
ment, Volgograd State Technical University (Prospekt im. V.I. Lenina 28, Volgograd, 400005
Russian Federation).
Please cite this article in English as:
Tyrymov A.A. Graph Approach for Finite-Element Model of an Elastic Body in Polar Coordi-
nates.
Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki
[Herald of the Bauman
Moscow State Tech. Univ., Nat. Sci.], 2017, no. 3, pp. 52–70.
DOI: 10.18698/1812-3368-2017-3-52-70