Mathematical Modeling of Three-dimensional Stress-strain State of Homogeneous and Composite Cylindrical Axisymmetric Shells

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Mathematical Modeling of Three-dimensional Stress-strain State of Homogeneous and Composite Cylindrical Axisymmetric Shells. / Gorynin, Arseniy G.; Gorynin, Gleb L.; Golushko, Sergey K.

In: Journal of Siberian Federal University - Mathematics and Physics, Vol. 17, No. 1, 2024, p. 27-37.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{84a05a1fb16c4ea08f345a59a4d68306,

title = "Mathematical Modeling of Three-dimensional Stress-strain State of Homogeneous and Composite Cylindrical Axisymmetric Shells",

abstract = "The study is devoted to the application of the asymptotic splitting method for solving static problems of deformation of homogeneous isotropic and composite cylindrical shells. The problem of deformation of a composite cylindrical shell subjected to an internal axisymmetric load is considered. The solution is constructed by expanding the components of the stress tensor and the displacement vector in powers of differential operators acting along the cylinder axis. A small parameter is the ratio of the shell thickness to its length. A governing differential system of equations describing the deformation of a cylindrical shell is obtained. It is shown that the developed mathematical model allows to compute all components of the stress tensor for both thick-walled and thin-walled cylindrical shells. The obtained analytic and numerical solutions are compared with the finite element solution of the 2D axisymmetric problem.",

keywords = "axisymmetric problem, cylindrical shells, finite element method, linear theory of elasticity, method of asymptotic splitting, stress-strain state",

author = "Gorynin, {Arseniy G.} and Gorynin, {Gleb L.} and Golushko, {Sergey K.}",

year = "2024",

language = "English",

volume = "17",

pages = "27--37",

journal = "Journal of Siberian Federal University - Mathematics and Physics",

issn = "1997-1397",

publisher = "Siberian Federal University",

number = "1",

}

RIS

TY - JOUR

T1 - Mathematical Modeling of Three-dimensional Stress-strain State of Homogeneous and Composite Cylindrical Axisymmetric Shells

AU - Gorynin, Arseniy G.

AU - Gorynin, Gleb L.

AU - Golushko, Sergey K.

PY - 2024

Y1 - 2024

N2 - The study is devoted to the application of the asymptotic splitting method for solving static problems of deformation of homogeneous isotropic and composite cylindrical shells. The problem of deformation of a composite cylindrical shell subjected to an internal axisymmetric load is considered. The solution is constructed by expanding the components of the stress tensor and the displacement vector in powers of differential operators acting along the cylinder axis. A small parameter is the ratio of the shell thickness to its length. A governing differential system of equations describing the deformation of a cylindrical shell is obtained. It is shown that the developed mathematical model allows to compute all components of the stress tensor for both thick-walled and thin-walled cylindrical shells. The obtained analytic and numerical solutions are compared with the finite element solution of the 2D axisymmetric problem.

AB - The study is devoted to the application of the asymptotic splitting method for solving static problems of deformation of homogeneous isotropic and composite cylindrical shells. The problem of deformation of a composite cylindrical shell subjected to an internal axisymmetric load is considered. The solution is constructed by expanding the components of the stress tensor and the displacement vector in powers of differential operators acting along the cylinder axis. A small parameter is the ratio of the shell thickness to its length. A governing differential system of equations describing the deformation of a cylindrical shell is obtained. It is shown that the developed mathematical model allows to compute all components of the stress tensor for both thick-walled and thin-walled cylindrical shells. The obtained analytic and numerical solutions are compared with the finite element solution of the 2D axisymmetric problem.

KW - axisymmetric problem

KW - cylindrical shells

KW - finite element method

KW - linear theory of elasticity

KW - method of asymptotic splitting

KW - stress-strain state

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85185529260&origin=inward&txGid=7d69b2bc2d91129e0f55892e44fd08c5

UR - https://www.mendeley.com/catalogue/43aba9af-b058-3ceb-98d0-492944ebcfc9/

M3 - Article

VL - 17

SP - 27

EP - 37

JO - Journal of Siberian Federal University - Mathematics and Physics

JF - Journal of Siberian Federal University - Mathematics and Physics

SN - 1997-1397

IS - 1

ER -

ID: 60462414