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Journal articles on the topic 'Deformation shells'

Author: Grafiati

Published: 28 May 2022

Last updated: 30 July 2025

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1

Nguyen, C. M., D. R. Shelevaya, and D. A. Krasnorutskiy. "CALCULATION OF STATIC DEFORMATION OF AXISYMMETRIC SHELLS OF ROTATION WITH DIFFERENTIAL MODEL." PNRPU Mechanics Bulletin, no. 1 (December 15, 2024): 75–95. http://dx.doi.org/10.15593/perm.mech/2024.1.07.

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In the paper differential equations of static geometrically nonlinear deformation of axisymmetric shell of rotation are obtained. The resolving functions are projections of vectors in the global coordinate system. The equations allow describing any geometry of meridian (breaks, curvature jumps), large deformations, changing of shell thicknesses during deformation, also cross shears characteristic for thick shells. For the numerical solution, the approach based on the finite difference method is applied, which is realized in the own software package for the calculation of the mechanics of spati

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2

Small, Scott R., John B. Meding, Jordan W. Oja, et al. "Shell design and reaming technique affect deformation in mobile-bearing total hip arthroplasty acetabular components." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 231, no. 8 (2017): 691–98. http://dx.doi.org/10.1177/0954411917701952.

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Press-fit acetabular components are susceptible to rim deformation. The inherent variability within acetabular reaming techniques may generate increased press-fit and, subsequently, additional component deformation. The purpose of this study was to analyze the insertion and deformation characteristics of acetabular components designed for dual-mobility systems based on component design, size, and reaming technique. Shell deformation was quantified in a validated worst-case scenario foam pinch model. Thin-walled, one-piece, and modular dual-mobility shells of varying size were implanted in unde

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3

Vogel, Danny, Christian Schulze, Henry Dempwolf, Daniel Kluess, and Rainer Bader. "Biomechanical behavior of modular acetabular cups made of poly-ether-ether-ketone: A finite element study." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 232, no. 10 (2018): 1030–38. http://dx.doi.org/10.1177/0954411918797600.

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After total hip arthroplasty, stress-shielding is a potential risk factor for aseptic loosening of acetabular cups made of metals. This might be avoided by the use of acetabular cups made of implant materials with lower stiffness. The purpose of this numerical study was to determine whether a modular acetabular cup with a shell made of poly-ether-ether-ketone or poly-ether-ether-ketone reinforced with carbon fibers might be an alternative to conventional metallic shells. Therefore, the press-fit implantation of modular cups with shells made of different materials (Ti6Al4V, poly-ether-ether-ket

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4

Zannon, Mohammad, and Hussam Alrabaiah. "Mathematical Formulation of Laminated Composite Thick Conical Shells." Journal of Mathematics Research 8, no. 4 (2016): 166. http://dx.doi.org/10.5539/jmr.v8n4p166.

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<span lang="EN-US">The </span><span lang="EN-US">mathematical formulation</span><span lang="EN-US">of thick conical shells using third order shear deformation of thick shell theory are presented. The equations of motion are obtained using Hamilton’s principle. For present analysis, we consider shell's system transverse normal stress, rotary inertia and shear deformation.</span>

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Wu, Shan Xing, Da Nian Chen, Dong Fang Ma, Duo Zhang, Huan Ran Wang, and Yang Hui Jin. "The Influences of Constitutive Models on the Collapses of OFHC Copper Cylindrical Shells under Impact Compression." Advanced Materials Research 179-180 (January 2011): 691–96. http://dx.doi.org/10.4028/www.scientific.net/amr.179-180.691.

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An axial collapse test of Oxygen-Free High-Conductivity copper (OFHC) cylindrical specimen subjected to impact against a steel plane target at the velocity range between 64 m/s and 165 m/s was performed on a single gas gun. The deformation process of the OFHC cylindrical shell in the specimen was a sequence of the thermovisco-plastic wave propagation between target plate and the structural plate. The experimental results were simulated numerically by use of LS-DYNA. The influences of OFHC constitutive models on the deformations of OFHC cylindrical shells were shown in the paper. It seems that

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Lin, Fantong, Xianxiang Zhou, Jian Zhao, et al. "Damage Characteristics and Dynamic Response of RC Shells Subjected to Underwater Shock Wave." Applied Sciences 14, no. 5 (2024): 1878. http://dx.doi.org/10.3390/app14051878.

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Underwater bottom-sitting shell structures face threats from underwater explosion shock waves. To investigate the damage characteristics and dynamic response of bottom-sitting shell structures under underwater explosion shock waves, three-dimensional numerical models of semi-spherical and semi-cylindrical bottom-sitting reinforced concrete (RC) shells under underwater shock waves were established based on the Arbitrary Lagrangian–Eulerian (ALE) algorithm using LS-DYNA software. The influences of the shock wave transmission medium, explosive equivalent, explosive distance, hydrostatic pressure,

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7

Bazhenov, V. G., D. A. Kazakov, S. L. Osetrov, D. L. Osetrov, and A. A. Ryabov. "Analysis of the limiting states of cylindrical elastic-plastic shells under tension and combined loading by internal pressure and tension." PNRPU Mechanics Bulletin, no. 2 (December 15, 2022): 39–48. http://dx.doi.org/10.15593/perm.mech/2022.2.04.

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The elastic-plastic deformation, limiting states and supercritical behavior of cylindrical shells under tension and combined loading by internal pressure and tension to failure are studied theoretically and experimentally. This problem is characterized by the occurrence of large strains, shape changes and, as a result, an inhomogeneous stress-strain state. In the numerical solution of such problems, the problem arises of constructing true stress-strain curves of materials. In this regard, to study the deformation and strength properties of materials, it is important to use an experimental-comp

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8

Ivanov, Vyacheslav N., and Alisa A. Shmeleva. "Geometric characteristics of the deformation state of the shells with orthogonal coordinate system of the middle surfaces." Structural Mechanics of Engineering Constructions and Buildings 16, no. 1 (2020): 38–44. http://dx.doi.org/10.22363/1815-5235-2020-16-1-38-44.

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The aim of this work is to receive the geometrical equations of strains of shells at the common orthogonal not conjugated coordinate system. At the most articles, textbooks and monographs on the theory and analysis of the thin shell there are considered the shells the coordinate system of which is given at the lines of main curvatures. Derivation of the geometric equations of the deformed state of the thin shells in the lines of main curvatures is given, specifically, at monographs of the theory of the thin shells of V.V. Novozhilov, K.F. Chernih, A.P. Filin and other Russian and foreign scien

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9

Li, Yu Kun, Wen Hong Sun, Guan Duan, and Jun Hui Liang. "Stress Calculation for Large Storage Oil Tanks' Shells Based on the Theory of Short Cylindrical Shell." Advanced Materials Research 602-604 (December 2012): 2163–69. http://dx.doi.org/10.4028/www.scientific.net/amr.602-604.2163.

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This article adopts Krylov’s functions, getting a general solution of deflection differential equation of short cylindrical shell. Due to the general solution and continuity and smoothness conditions of shell’s deflection, detailed calculating formulas about deformation and stress of large diameter cylindrical shells with cross-section are obtained, whose solving process is realized by programming. Taking a running tank for example, the method deduced in this article calculates its deformation and stress. Compared with the FE (finite element) calculation results and the test data, this method

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10

Dahno, A., Yu Smirnov, A. Mashkov, and E. Ryzhenko. "DEFORMATION OF THE PACKING ELEMENT WHEN THE DIFFERENT PRESSURE IN THE BOREHOLE." Construction Materials and Products 2, no. 4 (2020): 27–38. http://dx.doi.org/10.34031/2618-7183-2019-2-4-27-38.

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a method for calculating the stress-deformed condition of the packing element shells reinforced with a system of metal tapes is proposed. The whole process of deformation of the shell under the influence of internal overpressure is conventionally divided into four stages. For each stage, the scheme of deformation of the shell is considered and the solution of the problem is given on the basis of the nonlinear theory of elasticity and the theory of soft shells. All stages of shell deformation considered in this paper are illustrated by the calculation scheme. An example of shell calculation wit

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11

Bazhenov, V. G., Yu A. Kalinina, E. V. Nagornykh, and D. A. Samsonova. "VARIATIONAL-DIFFERENCE SOLUTION OF DEFORMATION AND BUCKLING PROBLEMS OF ELASTOPLASTIC SHELLS OF REVOLUTION WITH ELASTIC FILLER UNDER COMBINED QUASI-STATIC AND DYNAMIC AXISYMMETRIC LOADINGS." PNRPU Mechanics Bulletin, no. 1 (December 15, 2024): 45–57. http://dx.doi.org/10.15593/perm.mech/2024.1.05.

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The paper suggests a formulation and method for a numerical solution of deformation and buckling of elastoplastic shells of revolution with elastic filler under quasi-static and dynamic loadings. The problem is solved in a two-dimensional plane or generalized axisymmetric formulation with torsion. The governing system of equations is written in a Cartesian or cylindrical coordinate system. Modeling of deformation of an elastic-plastic shell is carried out based on the hypotheses of the theory of shells of the Timoshenko type, taking into account geometric nonlinearities. Kinematic relations ar

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12

Panin, Alexander, and Alexey Semenov. "Nonlinear Deformations of Stiffened Reinforced Concrete Shells." Key Engineering Materials 828 (December 2019): 180–93. http://dx.doi.org/10.4028/www.scientific.net/kem.828.180.

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The paper discusses the process of non-linear deformation of shell structures made of reinforced concrete. A mathematical model of deformation in the form of the functional of full potential deformation energy is provided. The model is based on the Kirchhoff–Love hypotheses, and allows accounting for structure reinforcement with stiffeners. An orthogonal network of stiffeners, located from the concave side, is considered as the structure support. Type of load — external, uniformly distributed. The Ritz method is applied to the functional to reduce the variational problem of the functional mini

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13

Taber, L. A. "Large Elastic Deformation of Shear Deformable Shells of Revolution: Theory and Analysis." Journal of Applied Mechanics 54, no. 3 (1987): 578–84. http://dx.doi.org/10.1115/1.3173072.

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Large axisymmetric deformation of pressurized shells of revolution is studied. The governing equations include the effects of transverse normal strain and transverse shear deformation for shells composed of an incompressible, hyperelastic material. Asymptotic solutions to the equations are developed which are valid for moderately large strains. Application to Mooney-Rivlin clamped spherical caps reveals that, for large enough bending and stretching, the consequences of shear deformation include: (1) bending moments can decrease at the edge after the load passes a critical point; (2) even thick

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14

Ze’dovich, V. I., A. E. Kheifets, S. V. Valushkin, and V. I. Belyakov. "The Metallographic Study of High-Speed Deformation and Convergence of Thick-Walled Cylindrical Copper Shells under Explosive Loading." Физика металлов и металловедение 124, no. 10 (2023): 916–22. http://dx.doi.org/10.31857/s0015323023600703.

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Abstract—Metallographic method investigated the process of convergence of thick-walled cylindrical copper shells under the action of an explosion. The explosion was initiated from eight points evenly spaced in a circle on the surface of the explosive surrounding the shell. At the intermediate stage of convergence, eight outliers formed on the inner surface of the shell. The convergence of the shells into the cylinder is completed by expanding and closing the emissions. The formation of outliers is explained by the occurrence of plastic (cumulative) jets at the deformation front. Jets occur whe

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15

Lai, Jinxing, Chunxia Guo, Junling Qiu, and Haobo Fan. "Static Analytical Approach of Moderately Thick Cylindrical Ribbed Shells Based on First-Order Shear Deformation Theory." Mathematical Problems in Engineering 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/274091.

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The classical shell theory (CST) without considering the shear deformation has been commonly used in the calculation of shells structures recently. However, the impact of theory of plates and shells subjected to the shear deformation on the calculation is increasingly pronounced along with the wide use of composite laminated structures. In this paper, based on first-order shear deformation theory (FSDT) of cylindrical shells, the displacement control differential equation of moderately thick cylindrical shells has been obtained, so has been the edge force at longitudinal of the shells. Meanwhi

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16

Krasovsky, Vasily, and Alexey Karasev. "Properties of numerical solution of the deformation and stability problem in shallow conical shells under external pressure." Roads and Bridges - Drogi i Mosty 15, no. 2 (2016): 117–35. http://dx.doi.org/10.7409/rabdim.016.008.

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The paper presents an analysis of a numerical solution in the ANSYS software to three problems related to determination of deformations and stability of closed shallow conical shells under external pressure: 1) linear (bifurcation) problem of determining the critical pressure; 2) geometrically non-linear problem of shell deformation and buckling to determine the limit pressure using axisymmetric finite elements (FE); 3) solution to the same problem as set out in 2, yet using 4-node shell elements. The solutions presented in the paper concern the stationary state of a simply supported and fixed

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17

Karpov, V. V., and E. A. Kobelev. "Mathematical model of nonlinear deformation of three-layer shells." Вестник гражданских инженеров 17, no. 3 (2020): 94–100. http://dx.doi.org/10.23968/1999-5571-2020-17-3-94-100.

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The article presents the study results of geometrically nonlinear deformation of elastic shells of arbitrary type with consideration of transverse shifts. There is constructed a new mathematical model of nonlinear deformation of thin-walled elastic isotropic three-layer shells. Each layer of the shell is made of different materials, but with similar shear modules. The thickness of the layers can be different. Averaging of all three layers becomes possible, and deformation of a three-layer shell as a single-layer shell with the given characteristics of the modulus of elasticity and the Poisson'

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18

Shen, Ke-Chun, Zhao-Qi Yang, Lei-Lei Jiang, and Guang Pan. "Buckling and Post-Buckling Behavior of Perfect/Perforated Composite Cylindrical Shells under Hydrostatic Pressure." Journal of Marine Science and Engineering 10, no. 2 (2022): 278. http://dx.doi.org/10.3390/jmse10020278.

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In this paper, the buckling and post-buckling behavior of perfect and perforated composite cylindrical shells subjected to external hydrostatic pressure was experimentally investigated. Three filament wound composite cylindrical shells were fabricated from T700-12K Carbon fiber/Epoxy, two of which were perforated and reinforced. A test platform was established that allows researchers to observe the deformation of composite cylindrical shells under hydrostatic pressure in real-time during test. According to experimental observation, strain response and buckling deformation wave were discussed.

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19

Brodova, I. G., I. G. Shirinkina, V. V. Astafiev, S. V. Balushkin, G. V. Kulikov, and A. Y. Simonov. "Structural Investigations and Rheology of Convergence of Thick-Wall Shells from Al–Mg Alloy." Физика металлов и металловедение 124, no. 12 (2023): 1211–19. http://dx.doi.org/10.31857/s0015323023601332.

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Abstract—The deformation behavior of thick-walled hollow cylindrical shells made of the AMg6 alloy (Al–6.1% Mg–0.6% Mn–0.1% Ti–0.2% Si, wt %) loaded according to an 8-point initiation scheme of an attached explosive is considered. The intensity of explosive loading was regulated by the amount of explosives. It has been established that, different scenarios for their convergence are observed depending on the intensity of the impact and the geometric characteristics of the shells. The conditions for the formation of spallation internal layers were determined, the evolution of the structure durin

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20

Verma, Gaurav, Gagandeep, Ishika, and Hargun Kau Sodhi. "Deformation analysis of spherical shell by using generalised Hooke’s law." Structural Integrity and Life 24, no. 1 (2024): 61–64. http://dx.doi.org/10.69644/ivk-2024-01-0061.

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Deformation analysis of spherical shell structures is significant for safety measure and structural design optimisation. Spherical shells are frequently used as important components in mechanical, aerospace, and civil engineering. In this paper, generalised Hooke’s law is taken to analyse the elastic-plastic deformations in shell-type structures. The problem of spherical shell is formulated and solved with the help of generalised strain measures and transition theory. Mathematical results are derived to show stress behaviour in the deformed spherical shell. Results obtained are shown graphical

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21

YEHOROV, Yеv А., Yu V. IVCHENKO, and T. А. KOVTUN-HORBACHOVA. "FEATURES OF THE STRESS-DEFORMED STATE OF VERTICAL CYLINDRICAL TANKS UNDER EXTERNAL PRESSURE." Physical Metallurgy and Heat Treatment of Metals, no. 2 (101) (October 21, 2023): 56–62. http://dx.doi.org/10.30838/j.pmhtm.2413.040723.56.984.

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The paper investigates the features of the stress-deformed state of cylindrical shells under wind pressure, taking into account its actual distribution on cylindrical structures. The purpose of the work is to obtain a qualitative picture of the distribution of stresses and deformations in the cylindrical wall of the tank under wind load, to determine the effect of wind load on both the strength and stability of the tank. Practical significance. It is known that the stresses caused by the action of the wind load, due to their small value, are safe from the point of view of strength, at the same

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Ovesy, Hamid Reza, and Jamshid Fazilati. "Lay-Up Effects on the Dynamic Instability of Moderately Thick Stiffened Curved Panels." Applied Mechanics and Materials 152-154 (January 2012): 1477–82. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.1477.

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The dynamic instability of cylindrical shell panels having longitudinal stiffener is studied by using the developed finite strip method (FSM). The method is formulated using the third order shear deformation shell's theory of Reddy's form and the Koiter-Sanders theory for cylindrical shells is implemented. The lay-up effects of skin as well as the stiffener are investigated.

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23

Liu, Ling, and Jianqiao Li. "Dynamic Deformation and Perforation of Ellipsoidal Thin Shell Impacted by Flat-Nose Projectile." Materials 15, no. 12 (2022): 4124. http://dx.doi.org/10.3390/ma15124124.

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Experimental and theoretical studies were carried out on the dynamic deformation and penetration response characteristics of metal ellipsoidal thin curved shells under impact loads. The deformation characteristics of the impacted ellipsoid shell was investigated via the use of a light gas gun to carry out impact loading experiments at different speeds. Ten cases of experiments were conducted with the impact velocities distributed between 25.69 m/s and 118.97 m/s. Stereo digital image correlation (3D-DIC) technology was applied to capture the dynamic deformation and penetration process of the i

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Meish, Yuliia, Maryna Belova, Nataliia Maiborodina, and Viacheslav Gerasymenko. "Determining the effect of longitudinal stiffeners on the deformation of multilayer ellipsoidal shells under non-stationary loads." Eastern-European Journal of Enterprise Technologies 4, no. 7 (130) (2024): 78–88. http://dx.doi.org/10.15587/1729-4061.2024.310241.

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The object of this study is the deformation of multilayer ellipsoidal shells under non-stationary distributed load. It is proposed to reinforce the shell with longitudinal stiffeners to enhance the strength of it. The application of Timoshenko's theory of shells and cores enabled the investigation of the influence of longitudinal stiffeners on the deformation of multilayer ellipsoidal shells under non-stationary loads with the discrete positioning of the stiffeners. A mathematical model of shell oscillations under various types of short-term non-stationary loads was based on the Hamilton-Ostro

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25

Paris, A. J., and G. A. Costello. "Bending of Cord Composite Cylindrical Shells." Journal of Applied Mechanics 67, no. 1 (1999): 117–27. http://dx.doi.org/10.1115/1.321156.

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An analytical method for determining the load-deformation behavior of cord composite cylindrical shells is developed by considering the mechanics of the matrix, the cords, and the shell. To illustrate the method, a circular cylindrical shell with a single ply of uniformly spaced cords parallel to the shell axis is considered. The differential equations for the displacements are derived. These equations are solved analytically in closed form for a shell with the cords on the middle surface and subjected to axisymmetric loading. The deformations are strongly dependent upon the properties of the

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Yankovskii, A. P. "The Refined Model of Viscoelastic-Plastic Deformation of Reinforced Cylindrical Shells." PNRPU Mechanics Bulletin, no. 1 (December 15, 2020): 138–49. http://dx.doi.org/10.15593/perm.mech/2020.1.11.

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The paper formulates the initial-boundary-value problem of the viscoelastic-plastic bending behavior of cylindrical circular shells cross-reinforced along equidistant surfaces. The instant elastoplastic deformation of the shell composition components is described by the governing equations of the theory of plastic flow with isotropic hardening. The viscoelastic deformation of these materials is described by the defining relations of the Maxwell - Boltzmann model of body. The geometric nonlinearity of the problem is taken into account in the Karman approximation. The used system of two-dimensio

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Grigorieva, A. L., Y. Y. Grigoriev, A. I. Khromov, and E. P. Zharikova. "A Mathematical Model of the Field of the Strain Tensor in Terms of Deformation of the Flat Shell Structures." Materials Science Forum 992 (May 2020): 870–75. http://dx.doi.org/10.4028/www.scientific.net/msf.992.870.

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The article considers the topic of mechanics of a deformable solid. Mathematical modeling of the process of deformation of shell structures by deforming a flat sample (part of the shell) under conditions of a plane stress state with a discontinuous field of displacement velocities is considered. Analytical solutions were obtained for the fields of strain tensors observed in shells of various materials during their deformation. A comparative analysis is carried out under various deformation states. Such decisions are due to the need to obtain deformation fields at various points of the shells u

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Wang, Y. M., F. H. Zheng, J. Wang, J. S. Ju, and X. X. Sang. "Study on the influence of geometric imperfections and welding deformation on the global stability of orthogonal mixed with oblique single-layer reticulated shell." Journal of Physics: Conference Series 2045, no. 1 (2021): 012002. http://dx.doi.org/10.1088/1742-6596/2045/1/012002.

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Abstract Using finite element method to study the influence of geometric imperfections and welding deformation on the global stability of orthogonal mixed with oblique single-layer reticulated shells. The initial imperfection values of different geometries and the effects of welding residual deformation on the global stability of the ultimate bearing capacity of the structure are compared, and the difference between the instability modes of the two kinds of reticulated shells in the structure is analysed. It is shown that the residual welding deformation almost has no impact on the ultimate be

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Zavertannyi, Bohdan, Gennadiy Pasov, Myroslav Zaveretannyi, Volodymyr Venzheha, and Vira Murashkovska. "Experimental study and finite element modeling of tensile deformation in polymer shells." Technical sciences and technologies, no. 4 (38) (December 30, 2024): 37–43. https://doi.org/10.25140/2411-5363-2024-4(38)-37-43.

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Contemporary production of polymer shells for liquids involves advanced technological solutions, ensuring high quality and adequate mechanical properties for applications in the food and chemical industries. However, current trends aim to reduce shell weight while improving their mechanical characteristics through optimized geometric parameters. Consequently, there is a growing need for modelling new types of shells and their designs, taking into account material distribution during shell formation and its impact on mechanical properties. When designing polyethylene terephthalate (PET) polymer

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Tani, J. "Buckling of Truncated Conical Shells Under Combined Axial Load, Pressure, and Heating." Journal of Applied Mechanics 52, no. 2 (1985): 402–8. http://dx.doi.org/10.1115/1.3169061.

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On the basis of the Donnell-type shell equations with the effect of nonlinear prebuckling deformations taken into consideration, a theoretical analysis is performed on the buckling of clamped truncated conical shells under two loads combined out of uniform pressure, axial load, and uniform heating. The problem is solved by a finite difference method. It is found that the interaction curves of buckling loads are changed remarkably by the difference in the shape of conical shells. This is due to the large nonlinear prebuckling deformation and the difference in the buckling mode between two cases

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Lu, Wenke, and Junyan Zhang. "Mechanical response of aluminum foam sandwich structure under impact load." Materials Research Express 9, no. 1 (2022): 016515. http://dx.doi.org/10.1088/2053-1591/ac493e.

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Abstract This study investigates the mechanical response of aluminum foam sandwich panels, sandwich cylindrical shells, and sandwich shallow shells under impact loads. First, a finite element model of the sandwich panel was established, and an impact load was applied. The numerical results were compared with theoretical and experimental results to verify the model’s effectiveness. Second, the energy absorption efficiency and overall deformation of sandwich panels, sandwich cylindrical shells, and sandwich shallow shells under the same impact load were studied. The research shows that the energ

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Cheremnykh, Stepan V. "Experimental study of elastic-plastic deformation of a cylindrical shell made of steel 45." Structural Mechanics of Engineering Constructions and Buildings 17, no. 5 (2021): 519–27. http://dx.doi.org/10.22363/1815-5235-2021-17-5-519-527.

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Relevance. The use of shells as thin-walled structures for various industries is very diverse. Spherical shells are widely used in the aircraft industry, circular cylindrical shells are used in the oil and gas industry, and more than 30 analytical forms of shells have been used in the construction industry. All elements of shell structures are undoubtedly subject to various strength calculations. Also, a separate role in the study is occupied by the experimental part, which confirms or refutes the calculated equations, this indicates the undoubted perspective and relevance of modeling the load

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Wan, Li, and Lei Chen. "Buckling Behavior of Elliptical Shells of Changing Thickness under Uniform Axial Compression." Applied Mechanics and Materials 351-352 (August 2013): 492–96. http://dx.doi.org/10.4028/www.scientific.net/amm.351-352.492.

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Many elliptical shells are used in structural applications in which the dominant loading condition is axial compression. Due to the fact that the radius varies along the cross-section midline, the buckling behavior is more difficult to identify than those of cylindrical shells. The general concerned aspects in cylindrical shell buckling analyses such as the buckling mode, the pre-buckling deformation and post-buckling deformation are all quite different related to specific elliptical shell geometry. The buckling behavior of elliptical cylindrical shells with uniform thickness has been widely s

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Andrianov, Ivan K., Sergey I. Feoktistov, and Elena K. Chepurnova. "Limit state analysis of the thin-walled shell using a forming limit diagram and finite element modeling." Journal of Physics: Conference Series 2573, no. 1 (2023): 012041. http://dx.doi.org/10.1088/1742-6596/2573/1/012041.

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Abstract The study considers the problem of estimating the limiting state of thin-walled cylindrical shells loaded with internal pressure. A diagram of limiting deformations is used as a method for estimating the limiting state of shells. The upper limit of permissible deformations satisfying the kinematic criterion of limiting deformation is determined based on the Side-Rice criterion. Using the finite element method, a series of numerical experiments on the loading of the inner shell at different heights of the loaded region in comparison with the diameter of the shell were carried out. Thus

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Dzhabrailov, Arsen, Anatoly Nikolaev, and Natalya Gureeva. "Calculation of thin-walled axisymmetrically loaded structures of the AIC taking into account FEM-based physical nonlinearity." BIO Web of Conferences 17 (2020): 00199. http://dx.doi.org/10.1051/bioconf/20201700199.

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The article describes an algorithm for calculating an axisymmetrically loaded shell structure with a branching meridian, taking into account elastic-plastic deformations when loading based on the deformation theory of plasticity without assuming that the material is incompressible during plastic deformations. The correct relations which determine the static conjugation conditions of several revolution shells in the joint assembly are used. A comparative analysis of finite element solutions is presented for various options plasticity matrix development at the loading stage.

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Birman, Victor. "Axisymmetric Bending of Generally Laminated Cylindrical Shells." Journal of Applied Mechanics 60, no. 1 (1993): 157–62. http://dx.doi.org/10.1115/1.2900738.

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Nonlinear bending deformations of generally laminated circular cylindrical shells subjected to an axisymmetric radial pressure, axial loading, and torsion are considered. Deformations of such shells are axisymmetric, i.e., while cross-sections can rotate about the shell axis, they remain circular and all derivatives with respect to the circumferential coordinate are equal to zero. In this case a nonlinear term is included into the axial strain only. Excluding this strain from the equilibrium equations, one can reduce the analysis to integration of a system of linear differential equations. In

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Wang, Wei, and Xinming Qiu. "The Mechanical Properties of Origami Structure Determined by the Improved Virtual Crease Method." International Journal of Applied Mechanics 13, no. 01 (2021): 2150002. http://dx.doi.org/10.1142/s1758825121500022.

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The mechanical properties and deformation of Origami structures are studied in this paper. Usually, it is a coupling problem of crease rotation and shell deformation. Here, the creases are simplified as torsional springs, whose rotational stiffness [Formula: see text] is obtained by the experiment of compressing a creased shell. While the shells that may have large deformation are simplified as rigid plates connected by virtual creases, whose rotational stiffness is roughly expressed as bending stiffness divides width of the shell. Hence, a coupling factor [Formula: see text] is defined to eva

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Lin, Fantong, Xianxiang Zhou, Lan Xiao, Ziye Liu, and Chaojia Liu. "Dynamic Response of Bottom-Sitting Steel Shell Structures Subjected to Underwater Shock Waves." Infrastructures 10, no. 6 (2025): 130. https://doi.org/10.3390/infrastructures10060130.

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This study examines the dynamic response of bottom-sitting steel shell structures subjected to underwater shock waves. A computational framework integrating the Arbitrary Lagrangian Eulerian (ALE) method was implemented in finite-element analysis to simulate three-dimensional interactions between shock waves and curved shell geometries (hemispherical and cylindrical configurations). An analysis of the impacts of shock-wave propagation media, explosive distance, charge equivalence, hydrostatic pressure, and shell thickness on the dynamic response of these bottom-sitting shell structures is cond

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Wang, Y. M., X. X. Sang, J. S. Ju, H. D. Zhang, and Y. Q. Fu. "Influence of welding sequence on the mechanical properties of a latticed shell formed by orthogonal and oblique members." Journal of Physics: Conference Series 2045, no. 1 (2021): 012025. http://dx.doi.org/10.1088/1742-6596/2045/1/012025.

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Abstract With the development of economy and the improvement of people’s aesthetic level, large-span latticed shells are increasingly used. Such structures are commonly large in volume and huge in welding. In order to select an optimum welding sequence and avoid correcting complex welding deformation, a latticed shell formed by orthogonal and oblique members was taken as the research object in this paper. The finite element models of single and whole latticed shells were established respectively, and according to the equal deformation principle, the influence of different welding sequence on t

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Manning, William A., Thomas Pandorf, David J. Deehan, and James Holland. "Early shape change behaviour of an uncemented contemporary hip cup: A cadaveric experiment replicating host bone behaviour through temperature control." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 232, no. 9 (2018): 843–49. http://dx.doi.org/10.1177/0954411918790776.

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Modular uncemented acetabular components are in common use. Fixation is dependent upon press-fit but the forces necessary to achieve initial stability of the construct at implantation may deform the shell and prevent optimal seating of the polyethylene liner insert. Previous work using single-time point measurements in uncontrolled ambient temperature poorly replicates the native state. A controlled study was performed to observe the time-dependent behaviour of an uncemented acetabular shell in the early phase after implantation into the human acetabulum at near physiological temperature. Usin

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Nwoji, C. U., D. G. Ani, O. A. Oguaghamba, and V. T. Ibeabuchi. "Static Bending of Isotropic Circular Cylindrical Shells Based on the Higher Order Shear Deformation Theory of Reddy and Liu." International Journal of Applied Mechanics and Engineering 26, no. 3 (2021): 141–62. http://dx.doi.org/10.2478/ijame-2021-0041.

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Abstract In this paper, a displacement based shear deformation theory formulated on the cubic in-plane displacement field equation of Reddy and Liu is presented for the static bending analysis of isotropic circular cylindrical shells. The adopted displacement field accounts for a quadratic (parabolic) distribution of the transverse shear through the shell thickness as well as satisfies the need for a stress free upper and lower boundary surfaces of the shell. The equations of static equilibrium are obtained on application of the principle of virtual work. Numerical results of the bending analy

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42

Soldatos, K. P. "Nonlinear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells—Part II: Buckling of Axially Compressed Cross-Ply Circular and Oval Cylinders." Journal of Pressure Vessel Technology 114, no. 1 (1992): 110–14. http://dx.doi.org/10.1115/1.2929000.

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A linearized transverse shear deformable shell theory presented in a companion paper is confined to consideration with the buckling problem of axially compressed, cross-ply laminated noncircular cylindrical shells. Based on a solution of its governing differential equations, obtained for simply supported shells by means of Galerkin’s method, a study of the buckling problem of axially compressed circular and oval cylindrical shells, of a regular antisymmetric cross-ply laminated arrangement, is presented. Moreover, by comparing the numerical results obtained with corresponding results based on

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Krivenko, Olga, Grygorii Ivanchenko, Yurii Vorona, and Iryna Kara. "GEOMETRICALLY NONLINEAR DEFORMATION AND BUCKLING OF SMOOTH AND FACETED SHELLS." Management of Development of Complex Systems, no. 48 (December 20, 2021): 69–74. http://dx.doi.org/10.32347/2412-9933.2021.48.69-74.

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Practical using of curvilinear shape shells is related with significant problems during their production especially for metal structures. Therefore during such shells production curvilinear shape is replaced by faceted. Realization of this method when designing needs additional investigations performing of faceted shells bearing capacity on the basis of appropriate numerical calculation method using. Problems of solving such tasks are practically not displayed in the literature. Break-in of the middle surface affect significantly to the shell stress-strain state. Accounting of temperature fiel

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Vogel, Danny, Matthias Klimek, Michael Saemann, and Rainer Bader. "Influence of the Acetabular Cup Material on the Shell Deformation and Strain Distribution in the Adjacent Bone—A Finite Element Analysis." Materials 13, no. 6 (2020): 1372. http://dx.doi.org/10.3390/ma13061372.

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In total hip arthroplasty, excessive acetabular cup deformations and altered strain distribution in the adjacent bone are potential risk factors for implant loosening. Materials with reduced stiffness might alter the strain distribution less, whereas shell and liner deformations might increase. The purpose of our current computational study was to evaluate whether carbon fiber-reinforced poly-ether-ether-ketones with a Young´s modulus of 15 GPa (CFR-PEEK-15) and 23 GPa (CFR-PEEK-23) might be an alternative shell material compared to titanium in terms of shell and liner deformation, as well as

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Yan, Yi Xia, Wei Fang Xu, Xi Cheng Huang, Gang Chen, and Zhi Ming Hao. "Numerical Simulation on Drop Test of the Conical Shell." Applied Mechanics and Materials 44-47 (December 2010): 2341–45. http://dx.doi.org/10.4028/www.scientific.net/amm.44-47.2341.

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The drop test for the thin 2A12 conical shells was developed on a drop hammer. The dynamical responses, typical deformation histories and failure mode of the shells were presented. The drop impact response of the thin conical shells were numerically simulated and analyzed in detail by using the explicit, nonlinear transient dynamic code, LS-DYNA. In the calculation, the material plastic behavior of the conical shells was described by Johnson-Cook constitutive relationship, which includes the effects of the strain rate, strains harden and temperatures soften. The deformation and failure model o

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Verma, Guarav, and Bachittar Singh. "Mathematical model of spherical shell under creep deformation." Structural Integrity and Life 24, no. 1 (2024): 65–70. http://dx.doi.org/10.69644/ivk-2024-01-0065.

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Creep response of spherical shells under pressure is investigated to provide design guidelines to make the mathematical model applicable in engineering fields. In this study, creep deformation of the spherical shell is impacted by internal pressure and compressibility. Seth’s transition theory is adopted to derive the governing equations of creep deformation of the pressurized spherical shell without using the ad hoc assumptions of classical theory of deformation. Pressure required to initiate creep behaviour in the spherical shell made up of different thickness ratio is studied. Results are i

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Zhang, S. H., J. Danckert, Z. R. Wang, and K. B. Nielsen. "Numerical Simulation of Plastic Deformation of Pressurized Oblate Spheroid-Inscribed Single-Curvature Shells." Journal of Manufacturing Science and Engineering 122, no. 1 (1999): 235–43. http://dx.doi.org/10.1115/1.538900.

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The integral hydro-bulge forming (IHBF) technology is used for manufacturing oblate spheroidal shells. A mild steel oblate spheroidal shell and a stainless steel shell were manufactured by using this new technology. The IHBF processes of the experimental shells are simulated by using an explicit finite element code, the numerical results are discussed and compared with the experimental results. Based on the numerical simulations and experimental results, a few suggestions are made for improving the new technology. [S1087-1357(00)71201-9]

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48

Soldatos, K. P. "Nonlinear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells—Part I: Derivation of Governing Equations." Journal of Pressure Vessel Technology 114, no. 1 (1992): 105–9. http://dx.doi.org/10.1115/1.2928999.

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Based on the concept of an “intermediate” class of deformations, a theory suitable for the nonlinear static and dynamic analysis of transverse shear deformable circular and noncircular cylindrical shells, composed of an arbitrary number of linearly elastic monoclinic layers, is developed. The theory is capable of satisfying zero shear traction boundary conditions at the inner and outer shell surfaces. Upon assuming that the shell is subjected to a certain initial stress state and applying the highly nonlinear governing equations derived to the adjacent equilibrium criterion, a set of Love-type

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49

Krivenko, Olga P., Petro Lizunov, and Oleksandr Kalashnikov. "The influence of geometrical shape on the buckling of thin-walled axisymmetric shells." Management of Development of Complex Systems, no. 57 (March 29, 2024): 102–6. http://dx.doi.org/10.32347/2412-9933.2024.57.102-106.

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The most economical for long span structures are thin-walled covering consisting of shell elements. These include shells of cylindrical, spherical, conical and other shapes. Buckling analysis of thinwalled structures is important in the design of buildings and structures. In this case, the geometric shape of the shell used has a great effect on the critical load. A comparative analysis of the geometrically nonlinear deformation, buckling, and postbuckling behavior of rotation panels of the same v olume under static thermomechanical loading is carried out. Spherical and conical shells having th

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50

Steigmann, David J. "Asymptotic theory for thin two-ply shells." Vietnam Journal of Mechanics 42, no. 3 (2020): 269–82. http://dx.doi.org/10.15625/0866-7136/15337.

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We develop an asymptotic model for the finite-deformation, small-strain response of thin laminated shells composed of two perfectly bonded laminae that exhibit reflection symmetry of the material properties with respect to an interfacial surface. No a priori hypotheses are made concerning the kinematics of deformation. The asymptotic procedure culminates in a generalization of Koiter's well-known shell theory to accommodate the laminated structure, and incorporates a rigorous limit model for pure bending.

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