Analysis of an arbitrarily loaded shell of revolution based on the finite element method in a mixed formulation

Gureeva, N. A.; Klochkov, Yu. V.; Николаев, А. П.

doi:10.3103/s1068799810030025

Cited by 3 publications

(3 citation statements)

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“…Vasilenko et al [109] analyzed stresses in laminated shells of revolution with an imperfect interlayer contact. Gureeva et al [110] analyzed an arbitrary loaded shell of revolution based on the finite element method in a mixed formulation. Merzlyakov and Galishin [111] investigated thermoelastoplastic non-axisymmetric stress-strain analysis of laminated shells of revolution.…”

Section: Shell Geometriesmentioning

confidence: 99%

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Qatu¹,

Asadi²,

Wang³

2012

OJCM

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Laminated composite shells are frequently used in various engineering applications including aerospace, mechanical, marine, and automotive engineering. This article reviews the recent literature on the static analysis of composite shells. It follows up with the previous work published by the first author [1-4] and it is a continuation of another recent article that focused on the dynamics of composite shells [3]. This paper reviews most of the research done in recent years (2000-2010) on the static and buckling behavior (including postbuckling) of composite shells. This review is conducted with an emphasis on the analysis performed (static, buckling, postbuckling, and others), complicating effects in both material (e.g. piezoelectric) and structure (e.g. stiffened shells), and the various shell geometries (cylindrical, conical, spherical and others). Attention is also given to the theory being applied (thin, thick, 3D, nonlinear …). However, more details regarding the theories have been described in previous work [1,3]

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Section: Shell Geometriesmentioning

confidence: 99%

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Qatu¹,

Asadi²,

Wang³

2012

OJCM

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“…The matrix of the stress-strain state of the finite element at the loading step is formed using a IOP Conf. Series: Earth and Environmental Science 965 (2022) 012005 IOP Publishing doi:10.1088/1755-1315/965/1/012005 2 functional based on the equality of possible and actual work of external and internal forces with the replacement of the actual work of stress increments at the loading step by the difference between the total and additional work [10,11].…”

Section: Introductionmentioning

confidence: 99%

“…The stress-strain state matrix of the entire structure is formed using the traditional FEM procedure [6,11].…”

mentioning

confidence: 99%

Calculation of the strength of objects of water management of the environment

Gureeva

Киселева

Николаев

et al. 2022

IOP Conf. Ser.: Earth Environ. Sci.

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The article discusses the objects of water management of the environment. An algorithm for forming a matrix of the stress-strain state of a prismatic finite element with a triangular cross-section in a mixed formulation is proposed to take into account the physical nonlinearity of water management objects in the form of rotation shells. The basic relations of the flow theory for arbitrary loading are used. The desired displacements and stresses of the inner point of the finite element were approximated by linear functions in terms of their nodal values. The stress-strain state matrix was formed using a functional expressing the equality of the actual work of external and internal work of external and internal forces, in which the actual work of internal forces was represented by the difference between the total and additional work of these forces.

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