Geodesic
Numerical solution of axisymmetric problem of the theory of elasticity on the basis of continuum graph model
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2012), pp. 103-114

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A numerical method for analysis of the stress strain state of elastic media based on a discrete model in form of directed graph is suggested. To analyze a deformable body using the graph approach, we partition a solid body on elements and replace each element by its model in the form of an elementary cell. The matrices, presenting several structure elements of the graph, and the equations, describing the elementary cells, contribute to deriving the constitutive equations of the intact body. Numerical examples are presented.
Keywords: mathematical simulation, elasticity, directed graph, strain, stress. 
@article{VSGTU_2012_2_a11,
     author = {A. A. Tirimov},
     title = {Numerical solution of axisymmetric problem of the theory of elasticity on the basis of continuum graph model},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {103--114},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_2_a11/}
}
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A. A. Tirimov. Numerical solution of axisymmetric problem of the theory of elasticity on the basis of continuum graph model. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2012), pp. 103-114. http://geodesic.mathdoc.fr/item/VSGTU_2012_2_a11/