Buckling Load of Thin Spherical Shells Based on the Theorem of Work and Energy

Khakina, Peter N.

doi:10.7763/ijet.2013.v5.581

Cited by 5 publications

(5 citation statements)

References 6 publications

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“…Figure 6 c reports the experimental pressures, which have been weighted with the geometrical factor

, as suggested by [ 58 ], where

is the angle between the radius passing through the end of the tip and the radius passing through the centre of the tip (i.e., the angle subtended by the inversed region to the centre). According to [ 58 ], this correction can be used to compare the experimental situation of concentrated load (i.e., like the one we applied) with the theoretical one of uniform load. With this correction, the values in Figure 6 c give a weighted average of

kPa as the value for a perfect sphere.…”

Section: Resultsmentioning

confidence: 99%

Acoustofluidic Measurements on Polymer-Coated Microbubbles: Primary and Secondary Bjerknes Forces

et al. 2018

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The acoustically-driven dynamics of isolated particle-like objects in microfluidic environments is a well-characterised phenomenon, which has been the subject of many studies. Conversely, very few acoustofluidic researchers looked at coated microbubbles, despite their widespread use in diagnostic imaging and the need for a precise characterisation of their acoustically-driven behaviour, underpinning therapeutic applications. The main reason is that microbubbles behave differently, due to their larger compressibility, exhibiting much stronger interactions with the unperturbed acoustic field (primary Bjerknes forces) or with other bubbles (secondary Bjerknes forces). In this paper, we study the translational dynamics of commercially-available polymer-coated microbubbles in a standing-wave acoustofluidic device. At increasing acoustic driving pressures, we measure acoustic forces on isolated bubbles, quantify bubble-bubble interaction forces during doublet formation and study the occurrence of sub-wavelength structures during aggregation. We present a dynamic characterisation of microbubble compressibility with acoustic pressure, highlighting a threshold pressure below which bubbles can be treated as uncoated. Thanks to benchmarking measurements under a scanning electron microscope, we interpret this threshold as the onset of buckling, providing a quantitative measurement of this parameter at the single-bubble level. For acoustofluidic applications, our results highlight the limitations of treating microbubbles as a special case of solid particles. Our findings will impact applications where knowing the buckling pressure of coated microbubbles has a key role, like diagnostics and drug delivery.

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“…Figure 6 c reports the experimental pressures, which have been weighted with the geometrical factor

, as suggested by [ 58 ], where

kPa as the value for a perfect sphere.…”

Section: Resultsmentioning

confidence: 99%

Acoustofluidic Measurements on Polymer-Coated Microbubbles: Primary and Secondary Bjerknes Forces

et al. 2018

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“…Gambar 1. Fenomena Buckling pada Kulit Permukaan Bola Tipis (Evkin et al, 2017;Khakina, 2013) Berdasarkan Gambar 1, tampak bahwa indentasi (atau lekukan) 𝑤 bervariasi relatif terhadap jarak 𝑑, maka nilai kekakuan dari suatu cangkang virus menurut teori plate & shell (Eshaghi et al, 2020) (2)…”

Section: Hasilunclassified

Perbandingan Konstanta Elastisitas Virus Hiv-1 Matang Dan Hiv-1 Belum Matang

Yasmini

Windarti

Risha

et al. 2022

j. sains. teknologi.

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One of the characteristics of viruses is the stiffness of the virus shell. In the following review, the virus shell can be assumed to be a spring. The value of stiffness of the virus shell is different for various viruses depending on intrinsic properties (i.e. modulus of elasticity) and extrinsic properties (i.e. radius and thickness of the virus shell). In this paper, we analyze the value of stiffness of the virus shell by analytical dan simulation. The analytical method is based on plate and shell theory and Michell solution. The other, the simulation is based on finite element analysis (FEA) method. We examine the elasticity constants of two types of viruses, namely HIV-1 (mature) and HIV-1 (immature) viruses. It was found that the HIV-1 virus (mature) had a smaller elasticity constant than the elasticity constant of the HIV-1 virus (immature). This is closely related to the characteristics of the virus, i.e. size, thickness, and intrinsic properties of the virus. Viruses with smaller shell thickness have lower elasticity constants, so they are more efficient at infecting host cells than viruses with higher elasticity constants.

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“…19 The conclusions showed that the pressure hull in the shape of an egg appears to be suitable for subsea vehicles at the whole ocean depth. Khakina 20 and Evkin and Lykhachova 21 researched buckling loads in terms of the energy change caused by the underwater collision. Bich et al studied analytically the influence of temperature on the flexion effect of spherical pressure shell under nonlinear indeterminate pressures and solved the approximate expression of the static critical flexion force of the shell by the mathematical model.…”

Section: Introductionmentioning

confidence: 99%

Investigation on the dynamic behavior of the ring-stiffened double-shell structure due to subsea collisions

Wang,

Zhang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The ring-stiffened double-shell structure is currently widely utilized in the equipment for ocean engineering, of which the response analysis under subsea impact is important to accomplish the safety and highly difficult Marine missions. However, due to the complex characteristics of the research object including fluid-solid coupling contact, large deformation, short response time, and multiplet structure, the dynamic behavior of the impacted ring-stiffened double-shell structure is hard to analyze accurately by traditional numerical methods. To overcome challenges, a fresh modeling and solving approach for the impacting mechanism of the structure body is put forward by this paper. The method is based on the Arbitrary Lagrange-Euler and Fluid-Structure-Interaction (ALE-FSI) theory. A stiffness matrix of a penalty function and steady outer pressure setting is presented to build the underwater interaction model. Then, the ALE-based description method is proposed to simulate the collision process. The results indicate that the adopted modeling and solving methods for the subsea structural collision have better revealed the dynamic response process of subsea structure to impact. There isn’t any evident damage spreading to the surrounding region, and the structural damage is primarily contained in the collision area. When an underwater impact is applied to the double shell structure, the non-pressure shell provides better protection. The core academic achievement of this work is providing an effective approach for subsea impacting mechanism and nonlinear dynamic response of ring-stiffened double-shell structure which can be used in different scenarios. It can offer universal references to optimize the construction of underwater equipment and determine the level of impact damage to submarines.

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Buckling Load of Thin Spherical Shells Based on the Theorem of Work and Energy

Cited by 5 publications

References 6 publications

Acoustofluidic Measurements on Polymer-Coated Microbubbles: Primary and Secondary Bjerknes Forces

Acoustofluidic Measurements on Polymer-Coated Microbubbles: Primary and Secondary Bjerknes Forces

Perbandingan Konstanta Elastisitas Virus Hiv-1 Matang Dan Hiv-1 Belum Matang

Investigation on the dynamic behavior of the ring-stiffened double-shell structure due to subsea collisions

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