Stress-strain state of three-layer thick-walled shells of revolution with nonideal contact between the layers

The aim of the work is to perform a comparative analysis of the results of analyzing arbitrarily loaded shells of revolution using finite element method in various formulations, namely, in the formulation of the displacement method and in the mixed formulation. Methods. To obtain the stiffness matrix of a finite element a functional based on the equality of the actual work of external and internal forces was applied. To obtain the deformation matrix in the mixed formulation the functional obtained from the previous one by replacing the actual work of internal forces in it with the difference of the total and additional work was used. Results. In the formulation of the displacement method for an eight-node hexahedral solid finite element, displacements and their first derivatives are taken as the nodal unknowns. Approximation of the displacements of the inner point of the finite element was carried out through the nodal unknowns on the basis of the Hermite polynomials of the third degree. For a finite element in the mixed formulation, displacements and stresses were taken as nodal unknowns. Approximation of the target finite element values through their nodal values in the mixed formulation was carried out on the basis of trilinear functions. It is shown on a test example that a finite element in the mixed formulation improves the accuracy of the strength parameters of the shell of revolution stress-strain state.

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Numerical method of studying the stress-strain state of flexible composite shells of revolution weakened by notches of different shapes

Mechanics of Composite Materials ◽

10.1007/bf00605933 ◽

1986 ◽

Vol 21 (6) ◽

pp. 704-708 ◽

Cited By ~ 2

Author(s):

I. N. Preobrazhenskii ◽

Yu. L. Golda ◽

V. G. Dmitriev

Keyword(s):

Numerical Method ◽

Strain State ◽

Composite Shells ◽

Shells Of Revolution ◽

Stress Strain ◽

Stress Strain State ◽

Different Shapes

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Block finite-element model of layer-by-layer analysis of three-layer stress–strain state in general irregular shells of rotation of double curvature

Доклады Академии наук ◽

10.31857/s0869-5652484135-40 ◽

2019 ◽

Vol 484 (1) ◽

pp. 35-40

Author(s):

V. N. Bakulin

Keyword(s):

Finite Element ◽

Strain State ◽

Element Model ◽

Core Material ◽

Layer By Layer ◽

Shells Of Revolution ◽

Stress Strain ◽

Stress Strain State ◽

Double Curvature ◽

Layer Analysis

This study proposes a finite-element block approach to building a new, refined model for layer-by-layer analysis of the stress–strain state of generally irregular sandwich shells of revolution with double curvature. A core material model is developed for the first time for such shells, based on more precise statements compared to those of similar common models; it allows the avoidance of the discontinuity of generalized displacements on the surfaces of an interface with base layers and switching to simpler models depending on the problem statement. Using the proposed model, it is possible to create an allowance for the changes in the properties and parameters of the stress–strain state in all the three coordinates, to which the shell is assigned, and to obtain a solution within the specified statement for different shell shapes and boundary conditions of layers, including in the case of discontinuity.

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Static, vibration, and buckling analyses and applications to one-sheet hyperboloidal shells of revolution

Applied Mechanics Reviews ◽

10.1115/1.1470479 ◽

2002 ◽

Vol 55 (3) ◽

pp. 241-270 ◽

Cited By ~ 16

Author(s):

SN Krivoshapko

Keyword(s):

Transmission Lines ◽

Strain State ◽

Power Transmission ◽

Review Article ◽

Experimental Investigations ◽

Power Transmission Lines ◽

Shells Of Revolution ◽

Stress Strain ◽

Arch Dams ◽

Stress Strain State

The principal achievements of science and engineering in the sphere of design, construction, and static, vibrational, and buckling analysis of thin-walled constructions and buildings in the shape of hyperbolic surfaces of revolution are summarized in this review article. These shells are useful as hyperbolic cooling towers, TV towers, reinforced concrete water tanks, and arch dams. They are also used as supports for electric power transmission lines and as high chimneys. Several public and industrial buildings having the hyperbolic form are described in the review. The basic results of theoretical and experimental investigations of stress-strain state, buckling, and vibration are summarized. The influence of temperature and moisture on the stress-strain state of the shells in question is also analyzed. This review article contains 261 references.

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