Simulation of Toroidal Shell with Local Defect

Yakupov, N. M.; Kiyamov, H. G.; Mukhamedova, I. Z.

doi:10.1134/s1995080220070434

Cited by 8 publications

(2 citation statements)

References 4 publications

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“…Указанные несовершенства в геометрии и химическом составе образцов также влияют на теоретическое моделирование процессов деформирования, но, несмотря на это, оболочка является идеальным объектом для решения модельных задач строительной механики и механики деформируемого твердого тела [28][29][30][31][32].…”

Section: заключениеunclassified

Theoretical and experimental modeling of deformation of a cylindrical shell made of 45 steel under complex loading

Черемных

2022

Struct. Mech. of Eng. Const. and Build

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Thin-walled cylindrical shells are used in elements of highly loaded products of mechanical engineering and energy. Along with their frequent use in production, experimental research in laboratories is also carried out constantly. This allows to simulate the behavior of the shell when exposed to external forces. But sometimes conducting an experiment becomes little possible due to the limitation of the power of the experimental apparatus when modeling the corresponding conditions of exposure to the shell in practice, therefore, improving theoretical methods for calculating the limiting states of shells when working in the elastoplastic region is relevant. The purpose of the study is to verify the conformity of the results of the experiment conducted on a thin-walled cylindrical shell made of steel 45 (GOST 1050-2013) when exposed to the sample by stretching, compression and torsion forces with theoretical calculations based on the equations of the theory of elastic-plastic processes by A.A. Ilyushin. The equations of the defining relations of the theory of elastic-plastic processes by A.A. Ilyushin for arbitrary trajectories of complex loading and deformation of materials in the deviatory deformation space Э1-Э3 are presented. All theoretical results are checked for compliance with the experiment, the reliability of the existing theory of stability is assessed. The solution is presented in the form of graphs of the dependence of the vector and scalar properties of the material on the length of the arc of the deformation trajectory and other parameters. Numerical values are selectively presented for different loading stages.

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Section: заключениеunclassified

Theoretical and experimental modeling of deformation of a cylindrical shell made of 45 steel under complex loading

Черемных

2022

Struct. Mech. of Eng. Const. and Build

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“…The idea of a twodimensional spline option of the FEM, combining the idea of parametrizing the middle surface of the entire area under the question and the idea of the finite element method with bicubic approximation of the required variables within each element, was presented in [3][4][5]. To assess a stress-strain state of the elements of the thin-walled structures with local blind defects, it becomes necessary to study them in a three-dimensional formulation, in particular, as in [6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

To the calculation of the toroidal shell with a local deepening on the external and on the inner surface

2021

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Thin-walled toroidal shells are widely used in the construction During operation, various defects appear on the surface of the shells, in particular, local depressions on the outer and inner surfaces, causing stress concentration in the structure. A three-dimensional spline option of the finite element method was developed to determine the stress-strain state of a toroidal shell with a local deepening on the outer and inner surface. The numerical experiments were carried out. The regularities of the changes in a stress-strain state of the shell with the change in the geometric parameters of the deepening were noted.

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A new variant of the fem for evaluation the strenght of structures of complex geometry with heterogeneous material structure

Yakupov

Kiyamov

Yakupov

et al. 2023

Case Studies in Construction Materials

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Simulation of Toroidal Shell with Local Defect

Cited by 8 publications

References 4 publications

Theoretical and experimental modeling of deformation of a cylindrical shell made of 45 steel under complex loading

Theoretical and experimental modeling of deformation of a cylindrical shell made of 45 steel under complex loading

To the calculation of the toroidal shell with a local deepening on the external and on the inner surface

A new variant of the fem for evaluation the strenght of structures of complex geometry with heterogeneous material structure

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