Experimental and theoretical studies on buckling of thin spherical shells under axial loads

Gupta, Neelam; Sheriff, N.; Ramachandran, V.

doi:10.1016/j.ijmecsci.2007.10.002

Cited by 56 publications

(23 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A small R/t shell has high carrying capacity, thus significantly complicating the formation of multiple lobes in shells. In this study, no other multiple lobes mode is observed; however, thin-walled hemispherical shells display different multiple lobe modes with different thicknesses or radii, as per the studies conducted by Kinching (1975) and Gupta (2008). Shells with high R/t values collapse into five to eight lobe deformations, and all lobes are not initiated at the same time.…”

Section: Final Deformation Modessupporting

confidence: 67%

“…Shells with high R/t values collapse into five to eight lobe deformations, and all lobes are not initiated at the same time. These deformations are maximized with the progress of compression, according to Gupta (2008).…”

Section: Final Deformation Modesmentioning

confidence: 99%

“…A simple analytical model was also developed to predict load-compression and energycompression curves for metallic spherical shells according to the concepts of stationary and rolling plastic hinges (SPH & RPH). Simulation experiments were conducted on hemispherical shells by Gupta et al (2008), along with analysis and quasi-static testing. The behavior of plastic hinges was analyzed during the progressive buckling of spherical shells through three-dimensional numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Peripheral Deformation and Buckling of Stainless Steel Hemispherical Shells Compressed by a Flat Plate

Yang

et al. 2016

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

An experimental investigation was performed on stainless steel hemispherical shells under axial compression. Eight kinds of shells with radius-to-thickness ratios that range from 57.1 to 125 were designed and manufactured for this study. The shells were compressed to more than 50% of their radii by a solid flat plate. To avoid contact between the base plate and the deformed central part of the shells, most of the shells were placed on a plate with a hole in the center. Nonetheless, one type of shell was placed on a solid base plate without a hole to analyze the effect of the base plate. As per an observation of collapse modes and loaddeformation shell relations, the deformation process of a hemispherical shell that is compressed by a flat plate can be divided into four stages: local flattening (Stage I), axi-symmetric inward dimpling (Stage II), non-symmetric multiple lobes (Stage III), and peripheral deformation and buckling stage (Stage IV). The present study mainly studies Stage IV, which can be categorized into peripheral compression (Stage A), peripheral buckling (Stage B), buckling expanding (Stage C), and overall collapse (Stage D).

show abstract

Section: Final Deformation Modessupporting

confidence: 67%

Section: Final Deformation Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Peripheral Deformation and Buckling of Stainless Steel Hemispherical Shells Compressed by a Flat Plate

Yang

et al. 2016

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

show abstract

“…This includes, for example, ping-pong or tennis balls (respectively C ≈ 10 4 and C ≈ 10 3 using the mechanical description of capsules by Pozrikidis (2003) and the parameters measured by Pauchard & Rica (1998)) or lipid bilayer membranes (typical values for red blood cells are C ≈ 100 (Noguchi & Gompper, 2005)). Of course, under sufficiently large loading, we can expect the axisymmetric dimpled states computed here to undergo a secondary bifurcation to non-axisymmetric configurations (Pauchard & Rica, 1998;Gupta et al, 2008;Vaziri & Mahadevan, 2008) which fall outside the present modelling framework.…”

mentioning

confidence: 82%

Shock formation and non-linear dispersion in a microvascular capillary network

Pop

Richardson

Waters

et al. 2007

Mathematical Medicine and Biology

View full text Add to dashboard Cite

The static compression between two smooth plates of an axisymmetric capsule or vesicle is investigated by means of asymptotic analysis. The governing equations of the vesicle are derived from thin-shell theory and involve a bending stiffness B, a shear modulus H, the unstressed vesicle radius a and a constant surface-area constraint. The sixth-order freeboundary problem obtained by a balance-of-forces approach is addressed in the limit when the dimensionless parameter C = Ha 2 /B is large and the plate displacements are small. When the plate displacement is of order aC −1/2 , the vesicle undergoes a sub-critical buckling instability which is captured by leading-order asymptotics. Asymptotic linear and quadratic force-displacement relations for the pre-and post-buckled solutions are determined. The leading-order post-buckled solution is described by a simple fourth-order problem, exhibiting stress-focusing with stretching and bending confined to a narrow boundary layer. In contrast, in the pre-buckled state, stretching occurs over a larger length scale than bending. The results are in good qualitative agreement with numerical simulations for finite values of C.

show abstract

“…The capsule type composite shell is an important mechanical structure, which is common on the oil storage tank, gas storage tank, freight vehicle and coal mine safety equipment [1,2]. The coal mine safety equipment is important to the coal mine production safety, which can safe many lives in disaster.…”

Section: Introductionmentioning

confidence: 99%

Response Analysis of Composite Shell with Various Fixation Patterns under Axial Impact Load in Tunnel

Song¹,

Wei²

2017

dteees

View full text Add to dashboard Cite

Abstract. The safety equipment will against the explosive load when a disaster occurs in tunnel. This analysis of composite shell establishes a model of the relation among initial velocity, explosive load, plastic strain and shell fixation pattern, which is used to study the plastic strain of composite shell under different fixation patterns. The result shows that the fixation pattern plays a great part in the plastic strain of composite shells under axial impact load in tunnel. It is clearly that the extreme value and distribution range of plastic strain can be controlled by changing the fixation pattern. If the fixed point of composite shell is axisymmetric, the extreme value of plastic strain will decrease. Meanwhile, the distribution ranges of it remaining the same level. It is also confirmed that the plastic strain of fixed area which is far away from the explosion is more sensitive than the closer one to impact load.

show abstract

Experimental and theoretical studies on buckling of thin spherical shells under axial loads

Cited by 56 publications

References 7 publications

Peripheral Deformation and Buckling of Stainless Steel Hemispherical Shells Compressed by a Flat Plate

Peripheral Deformation and Buckling of Stainless Steel Hemispherical Shells Compressed by a Flat Plate

Shock formation and non-linear dispersion in a microvascular capillary network

Response Analysis of Composite Shell with Various Fixation Patterns under Axial Impact Load in Tunnel

Contact Info

Product

Resources

About