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Pursing Of Planar Elastic Pockets

Yann Bouremel, Shivam Madaan, Richard M. H. Lee, Ian Eames, A. P. Wójcik, Peng Tee Khaw
Published 2017 · Mathematics
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The pursing of a simply- or doubly-connected planar elastic pocket by an applied pressure is analysed from the bending to the stretching regimes. The response is evaluated in terms of maximum deflection and profiles across a range of simply- and doubly-connected circular and square shapes. The study is conducted using experimental and numerical methods and supported by previous analytical results. The experimental method is based on an original 2D optical method that gives access to the pursing direction perpendicular to each image across the field of view. The equations for maximum pursing deflections are developed and compared for a range of thicknesses of silicone samples and shapes from the bending to the stretching regimes. In the case of doubly-connected shapes, dependence of maximum pursing deflection on clamped central circular and square areas or holes is quantified for both regimes. Good agreement is established between the three methods and the study also shows that the optical method may as well be successfully applied to problems of pursing of rubber pockets.
This paper references
10.1002/app.1987.070330512
Blow‐off pressures for adhering layers
Alan N. Gent (1987)
10.1097/01.sla.0000135021.92289.6b
Laparoscopic adjustable silicone gastric banding versus vertical banded gastroplasty in morbidly obese patients.
Wei-Jei Lee (2004)
10.1007/s12046-007-0016-8
The problem of isotropic rectangular plate with four clamped edges
C. Erdem İmrak (2007)
10.1109/TMECH.2013.2280575
Novel, Remotely Controlled, Artificial Urinary Sphincter: A Retro-Compatible Device
Sami Hached (2014)
A theory of large deformation
M. Mooney (1940)
Square plate with clamped edges under normal pressure producing large deflections
Samuel Levy (1942)
10.1115/1.3119506
Nonlinear Dynamic Response of Membranes: State of the Art
Christopher H. M. Jenkins (1991)
10.1007/978-3-642-41714-6_200783
Theory of elasticity
Stephen P. Timoshenko (2019)
On One Partial Differential Equation of the Fourth Order (Doctor dissertation)
B. M. Koialovich (1902)
10.1016/0021-9290(86)90105-3
Mechanical behavior of fetal dura mater under large deformation biaxial tension.
D I Bylski (1986)
10.1016/J.EUROMECHSOL.2013.02.007
Finite inflation of an initially stretched hyperelastic circular membrane
Amit Patil (2013)
10.1007/BF01178234
Large axisymmetric deformation of a non-linear viscoelastic circular membrane
David Hesketh Roberts (1980)
Uber den spannungszustand in kreisrunden platten
H. Hencky (1915)
10.1039/c2lc40481h
Elastomer based tunable optofluidic devices.
Wuzhou Song (2012)
10.1002/cnm.2557
Finite element analysis of balloon-expandable coronary stent deployment: influence of angioplasty balloon configuration.
David Moral Martín (2013)
10.1117/12.539818
Electro-elastic modeling of a dielectric elastomer diaphragm for a prosthetic blood pump
Nakhiah C. Goulbourne (2004)
placement flows under elastic membranes . part 1 . experiments and direct numerical simulations
D. Pistriakoff (1910)
10.1016/J.JMPS.2013.11.013
On the static and dynamic analysis of inflated hyperelastic circular membranes
Abhijit Chaudhuri (2014)
Sur l’application de la méthode des coordonnées normales au calcul de le flexion des tiges et des plaques
S. P. Timoshenko (1910)
10.2514/3.5051
Clamped annular plate under a concentrated force.
Rene Amon (1969)
10.1016/0020-7462(74)90005-5
A simplified approach to the large deflection of membranes
Robert fl. Jones (1974)
10.1017/S0956792514000291
Elastic-plated gravity currents
Ian J Hewitt (2005)
10.1007/BF01601526
Deformations of elastic membranes—Effect of different constitutive relations
Pravin Kumar Pujara (1978)
10.1017/JFM.2015.590
Displacement flows under elastic membranes. Part 1. Experiments and direct numerical simulations
Draga Pihler-Puzović (2015)
10.1016/j.ijcard.2004.12.033
Finite element analysis of the implantation of a balloon-expandable stent in a stenosed artery.
Dongke Liang (2005)
Laparoscopic adjustable silicone gastric banding versus vertical banded gastroplasty in morbidly obese patients.
Karem Slim (2004)
10.1007/BF01595129
Large plane deformations of rectangular elastic sheets
William W. Feng (1976)
10.1016/j.ijsolstr.2006.08.015
Electro-elastomers: Large deformation analysis of silicone membranes
Nakhiah C. Goulbourne (2007)
10.1364/OE.1.000324
Surface precision of optical membranes with curvature.
David Marker (1997)
10.1016/0020-7225(67)90051-1
Large elastic deformations of thin rubber membranes
L. J. Hart-Smith (1967)
Theory of Elasticity 3rd edition
L. D. Landau (1975)
10.1103/PhysRevLett.111.154501
Viscous control of peeling an elastic sheet by bending and pulling.
John R. Lister (2013)
10.1088/0022-3727/46/48/483001
Dielectrophoretically tunable optofluidic devices
Su Xin Xu (2013)
10.1122/1.549847
Nonlinear analysis of the inflation of an initially flat, circular, elastic disk
Richard M. Christensen (1986)
10.1016/0020-7683(71)90001-1
Large deflections of axisymmetric circular membranes
Robert S. Kao (1971)
10.1007/BF00281971
The plane circular elastic surface under normal pressure
Ronald Wayne Dickey (1967)
10.1115/1.1613674
Analysis of prolapse in cardiovascular stents: a constitutive equation for vascular tissue and finite-element modelling.
Patrick J. Prendergast (2003)
10.1016/0021-9290(79)90169-6
Material identification of soft tissue using membrane inflation.
A S Wineman (1979)
10.1137/0519041
On Uniqueness of Axisymmetric Deformations of Elastic Plates and Shells
Hubertus J. Weinitschke (1988)
10.1016/J.IJENGSCI.2009.01.008
Inflation of a circular elastomeric membrane into a horizontally semi-infinite liquid reservoir of finite vertical depth: Quasi-static deformation model
John C. Selby (2009)
An Exact Solution for the Deflection of a Clamped Rectangular Plate under Uniform Load
E. C. (2007)
Theory of Plates
K. Chandrashekhara (2001)
10.1115/1.3408651
On Axisymmetrical Deformations of Nonlinear Membranes
Wei H. Yang (1970)
10.1023/A:1007472709175
Bending of an Elastic Rectangular Clamped Plate: Exact Versus ‘Engineering’ Solutions
Viatcheslav V. Meleshko (1997)
10.1016/0377-0257(78)80007-X
On axisymmetric deformations of nonlinear viscoelastic membranes
Alan Wineman (1978)
10.1016/S0022-5193(05)80134-1
An application of membrane theory to tip morphogenesis in Acetabularia.
Mark A. J. Chaplain (1990)
10.1111/j.1745-4603.1998.tb00191.x
A MEMBRANE MODEL FOR ELASTIC DEFLECTION OF INDIVIDUAL PLANT CELL WALLS
G. C. Davies (1998)
10.1063/1.1712836
A Theory of Large Elastic Deformation
Melvin Mooney (1940)
10.1098/rsta.1952.0013
Large elastic deformations of isotropic materials IX. The deformation of thin shells
J. E. Adkins (1952)
10.1097/01.sla.0000098627.18574.72
Laparoscopic Adjustable Silicone Gastric Banding Versus Vertical Banded Gastroplasty in Morbidly Obese Patients: A Prospective Randomized Controlled Clinical Trial
Mario Morino (2003)
La flexion d’une plaque mince
D. Pistriakoff (1910)
10.1111/j.1747-1567.1995.tb00844.x
Determination of Mooney material constants for highly nonlinear isotropic incompressible materials under large elastic deformations
Jafar Vossoughi (1995)
10.1016/J.IJNONLINMEC.2013.06.015
On the contact problem of an inflated spherical hyperelastic membrane
Nirmal Kumar (2013)
10.1109/TBME.2010.2040617
A Self-Propelled Inflatable Earthworm-Like Endoscope Actuated by Single Supply Line
Daniel Glozman (2010)
10.1016/0045-7949(85)90118-X
Large deflections of circular isotropic membranes subjected to arbitrary axisymmetric loading
A. D. Kelkar (1985)
10.1007/BF01595147
Some numerical investigations on empirical strain energy functions in the large axi-symmetric extensions of rubber membranes
Werner Walter Klingbell (1964)
10.4015/S1016237214500136
STUDY OF PLAQUE VULNERABILITY IN CORONARY ARTERY USING MOONEY–RIVLIN MODEL: A COMBINATION OF FINITE ELEMENT AND EXPERIMENTAL METHOD
Alireza Karimi (2014)
10.1115/1.3138388
Mechanical behavior of fetal dura mater under large axisymmetric inflation.
Timothy J. Kriewall (1983)
CONCENTRATION AND DEPTH FIELD DETERMINED BY THE LIGHT TRANSMITTED THROUGH A DYED SOLUTION
Claudia Cenedese (1998)
Stresses in ship plates under water pressure
I. G. Boobnoff (1902)
10.1016/S0009-2509(98)00198-5
On uniquely determining cell–wall material properties with the compression experiment
Alexander E. Smith (1998)
Asymptotic behavior of a thin clamped circular plate under uniform normal pressure at very large deflection
W. Z. Chien (1948)



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