Experimental-theoretical method for determining mechanical characteristics of spherical films and membranes of complex structure

Galimov, N. K.; Yakupov, N. M.; Yakupov, S. N.

doi:10.3103/s0025654411030058

Cited by 10 publications

(4 citation statements)

References 1 publication

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“…Knowing sample bending H at given pressure p and using the relation of the theory of shells, one can determine the moduli of elasticity [9]. In the case of linear deformation of the samples, we can use, for example, the Timoshenko formula [10] where p is the uniformly distributed pressure, ν is the Poisson ratio of the material, h is the membrane thick ness, a is the membrane radius, and H is the arch height (bending).…”

Section: Data Processingmentioning

confidence: 99%

Effect of a magnetic field on corrosive wear

2012

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Section: Data Processingmentioning

confidence: 99%

Effect of a magnetic field on corrosive wear

2012

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“…An effective approach to assessing the mechanical properties of films is the experimental -theoretical ETM method [18], which allows evaluating the integral properties of coatings. ETM is based on the synthesis of experimental data and relations from the theory of thin shells.…”

Section: Introductionmentioning

confidence: 99%

“…The sample is placed on the device, loaded with a uniform surface pressure p and the form of deformation of the sample is monitored. The dependence "pressure p -deflection H" is obtained from the experiment, and then, using the relations of the theory of shells, the mechanical properties of the coating are determined [18].…”

Section: Introductionmentioning

confidence: 99%

Experimental-Theoretical Method for Assessing the Stiffness and Adhesion of the Coating on a Spherical Substrate

Yakupov,

Gumarov,

Yakupov

2023

Struct. Mech. of Eng. Const. and Build

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Known methods and approaches are ineffective or not applicable at all in the study of mechanical characteristics and adhesion of coatings of complex structure, initially formed on non-planar surfaces. A device has been developed that includes fragments of spherical substrates with rings for mounting along the contour, a pressure source of the working medium with a pressure gauge, a line with a valve for supplying the working medium, a measuring complex and a line for etching the working medium. In a fragment of a spherical substrate there is a small diameter hole, in the area of which a cover is formed according to a given technology. The working medium is fed through a small hole in the tray. A segment of the coating detached from the substrate forms a dome in the form of an ellipsoid fragment. A numerical model of deformation of a coating fragment in the form of a spherical segment with a complex contour is being developed using well-known software complexes. At each step of loading by the “targeting” method, varying the modulus of elasticity and the Poisson’s ratio, we approach the parameters of the experimental dome and determine the actual mechanical and stiffness properties of the coating under study. We calculate the normal separation forces through the radial forces determined by the current numerical model, and then determine the coupling stresses. The developed experimental-theoretical method is an effective tool for evaluating the mechanical properties and stiffness of coatings of complex structure, as well as the adhesion of the coating to a spherical substrate.

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“…В работах [7][8][9] описан двумерный экспериментально-теоретический метод исследования механических характеристик пленок и мембран, ко-торый позволяет оценивать жесткостные свойства, модуль упругости и условный модуль упругости тонкослойных образцов.…”

Section: Introductionunclassified

Determination of parameters of plastic deformation of elliptic membranes

Galimov

Yakupov

2019

Struct. Mech. of Eng. Const. and Build

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Introduction. Thin-walled structural elements, combining lightness with high strength, are widely used in all industries. Widespread round design elements. However, based on the functional purpose, thin-walled structural elements of various shapes in plan are becoming more and more common. Methods. A technique has been developed for the study of thin elliptic membranes for the case of plastic deformation under the action of uniform pressure. The deflections of the membranes in the experiment are more than ten thicknesses. In this regard, to solve the problem, the following are used: geometric nonlinear relations for the deformations of the middle surface (according to Kh.M. Mushtari and K. Z. Galimov), relations for finite displacements and deformations for curvature expressions (according to K.Z. Galimov), physical relations (according to the theory of plasticity A.A. Ilyushin). Due to the smallness of the membrane thickness, only tensile membrane strains and forces are taken into account. The problem is solved by the Bubnov - Galerkin method and reduced to solving a nonlinear system of three algebraic equations. The “shooting” algorithm for solving the resulting system of equations is described. Results. The work on the assessment of the reliability of the results. To estimate the error, the comparison of the calculation results with the experimental results of G.D. Golovlev was also performed. An example of the calculation of an elliptical membrane is considered.

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Experimental-theoretical method for determining mechanical characteristics of spherical films and membranes of complex structure

Cited by 10 publications

References 1 publication

Effect of a magnetic field on corrosive wear

Effect of a magnetic field on corrosive wear

Experimental-Theoretical Method for Assessing the Stiffness and Adhesion of the Coating on a Spherical Substrate

Determination of parameters of plastic deformation of elliptic membranes

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