Buckling patterns of complete spherical shells filled with an elastic medium under external pressure

Sato, Motohiro; Wadee, M. Ahmer; Iiboshi, Kohtaroh; Sekizawa, Takafumi; Shima, Hiroyuki

doi:10.1016/j.ijmecsci.2012.02.001

Cited by 22 publications

(8 citation statements)

References 38 publications

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“…If the pressure increases beyond a certain limit, the spherical equilibrium form of the compressed shell may become unstable and buckling occurs [33]. As described before, the axisymmetric assumption has little effect on the calculated values of the critical buckling pressure and the corresponding buckling mode number [34]. Thus, it is assumed that the buckling deformation is axisymmetric with respect to the vertical axis in order to simplify the calculation of the critical pressure.…”

Section: Buckling Of Uniform Pressurised Spherical Shellsmentioning

confidence: 99%

“…These works show that the approximate formulations enable sufficiently accurate values of the critical buckling pressure and the corresponding buckling mode number to be obtained. It can also be inferred from the work of Sato et al [34] that when ⁄ <10 -3 ( is the core radius; is the core foundation modulus; and is the shell Young's modulus), the buckling behaviours of the shell filled with elastic materials is the same as that for the empty shell.…”

Section: Introductionmentioning

confidence: 98%

“…Timoshenko et al [33] was first to introduce the formulation and solving approach for pressurised buckling of an empty and complete spherical shell based on the axisymmetric assumption and Rayleigh-Ritz approach. Sato et al [34] conducted comparative studies between the exact and simplified approaches to validate the approximation based on the axisymmetric assumption and Rayleigh-Ritz approach. These works show that the approximate formulations enable sufficiently accurate values of the critical buckling pressure and the corresponding buckling mode number to be obtained.…”

Section: Introductionmentioning

confidence: 99%

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Thermo-mechanical analysis of microcapsules containing phase change materials for cold storage

Tchuenbou-Magaia

Al‐Duri

et al. 2018

Applied Energy

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Microencapsulated phase change material slurries (MEPCMSs) offer a potentially efficient and flexible solution for cryogenic-temperature cold storage. In this paper, the phase change material (PCM) microcapsules prepared to form MEPCMSs for cryogenictemperature cold storage consist of Dowtherm J (DJ) as core material and melamine formaldehyde (MF) as primary shell material. DJ is an aromatic mixture with diethylbenzene as the main component. Composite shell materials are adopted to avoid cracking by adding aluminium oxide (Al 2 O 3) nanoparticles or copper (Cu) coating into/on MF shell. In order to explore the heat transfer behaviour and mechanical stability of the microcapsules during the solidification process of PCM, a thermo-mechanical model is established by taking into account of energy conservation, pressure-dependent solid-liquid equilibria, Lamé's equations and buckling theory. Based on the proposed model, the effects of shell thickness, shell compositions and microcapsule size are therefore studied on the variations of pressure difference, freezing point, and latent heat. The cause of shell deformation is clearly explained and the shell buckling modes are predicted using the model, which agree well with the experimental observations. The critical core/shell size ratios of avoiding buckling are proposed for the microcapsules with different compositions. Simultaneously incorporation of Al 2 O 3 nanoparticles and Cu coating into/on MF shell can markedly enhance the resistant to buckling. In addition, special attention is paid to cold energy storage capacity of MEPCMSs, which has considerable superiority compared to packed pebble beds.

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Section: Buckling Of Uniform Pressurised Spherical Shellsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermo-mechanical analysis of microcapsules containing phase change materials for cold storage

Tchuenbou-Magaia

Al‐Duri

et al. 2018

Applied Energy

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“…They proposed an intriguing idea that the shapes of many natural fruits and vegetables can be reproduced by anisotropic stress-driven buckling on the spheroidal core/shell system. The role of internal core on the spherical shell buckling was also considered by Sato et al [8]; they derived analytic solutions for the buckling pressures and patterns of a complete spherical shell filled with an elastic medium (Winkler foundations) using exact formulations. Their formulation clearly showed that the interaction between shells and Winkler foundations causes only axisymmetric buckling modes and that no non-axisymmetric modes can occur.…”

Section: Introductionmentioning

confidence: 99%

Interlayer Coupling Effect on Buckling Modes of Spherical Bilayers

2014

Self Cite

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This study examined the critical buckling characteristics of hydrostatically pressurized double-walled complete spherical shells. An analytical model based on small deflection thin shell theory is presented; the equations are solved in conjunction with variational principles. Axisymmetric and inextensional assumptions are not initially used in the exact formulation. This approach therefore avoids any discussion about the validity of the solution and allows the model to be extended to cover more generic nonaxisymmetric cases with relative ease. The analytical results are presented using illustrative buckling modes. Based on the developed formulation, only axisymmetric eigenmodes were found to occur despite the inclusion of the effect of interactions between outer and inner shells. Critical modes that are symmetric or antisymmetric about the equator may be determined depending on the combination of the stiffness connecting the outer and inner shells and the radius-to-wall thickness ratios.

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“…Bich and Tung 6 investigated the Non-linear axisymmetric response of functionally graded shallow spherical shells under uniform external pressure including temperature effects. The Nonlinear static and dynamic buckling analysis of functionally graded shallow spherical shells including temperature effects are studied by Bich et al 7 The buckling patterns of complete spherical shells filled with an elastic medium under external pressure is investigated by Sato et al 8 Some authors have recently demonstrated the cross-sectional morphology of * Author to whom correspondence should be addressed. carbon nanotubes embedded in an elastic medium.…”

Section: Introductionmentioning

confidence: 99%

Thermal Stresses in a Spherical Shell Under Different Thermoelastic Models

Yahya¹,

Edfawy²

2014

Jnl of Comp & Theo Nano

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In this paper, the problem of dynamic thermoelastic stresses in a spherical shell with fixed boundaries whose inner surface is subjected to a step jump in temperature is considered. The analysis is carried out in the uncoupled framework under the classical Lord and Shulman and green and Lindsay formulations of thermoelasticity. Numerical solutions for the temperature and displacement equations are obtained using the finite difference method. Numerical results are presented graphically along with a comparison of the three models. In addition, special and limiting cases of the physical parameters are investigated and the application of this research to fuel vessels used in rocket engine testing are noted. Lastly a discussion concerning which of the three theories are the most physically acceptable is given, with the Lord and Shulman formulation emerging as the clear overall choice.

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Buckling patterns of complete spherical shells filled with an elastic medium under external pressure

Cited by 22 publications

References 38 publications

Thermo-mechanical analysis of microcapsules containing phase change materials for cold storage

Thermo-mechanical analysis of microcapsules containing phase change materials for cold storage

Interlayer Coupling Effect on Buckling Modes of Spherical Bilayers

Thermal Stresses in a Spherical Shell Under Different Thermoelastic Models

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