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Free And Constrained Inflation Of A Pre-stretched Cylindrical Membrane

Amit Patil, Arne B. Nordmark, Anders Eriksson
Published 2014 · Materials Science
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This paper presents the free and constrained inflation of a pre-stretched hyperelastic cylindrical membrane and a subsequent constrained deflation. The membrane material is assumed as a homogeneous and isotropic Mooney–Rivlin solid. The constraining soft cylindrical substrate is assumed to be a distributed linear stiffness normal to the undeformed surface. Both frictionless and adhesive contact are modelled during the inflation as an interaction between the dry surfaces of the membrane and the substrate. An adhesive contact is modelled during deflation. The free and constrained inflation yields governing equations and boundary conditions, which are solved by a finite difference method in combination with a fictitious time integration method. Continuity in the principal stretches and stresses at the contact boundary is dependent on the contact conditions and inflation–deflation phase. The pre-stretch has a counterintuitive softening effect on free and constrained inflation. The variation of limit point pressures with pre-stretch and the occurrence of a cusp point is shown. Interesting trends are observed in the stretch and stress distributions after the interaction of the membrane with soft substrate, which underlines the effect of material parameters, pre-stretch and constraining properties.
This paper references
10.1016/J.IJSOLSTR.2013.10.016
Finite inflation of a hyperelastic toroidal membrane over a cylindrical rim
Ganesh Tamadapu (2014)
10.1073/pnas.0601705103
Adhesion of single bacterial cells in the micronewton range.
Peter H. Tsang (2006)
10.1115/1.3610067
Inflation of a Plane Circular Membrane
Jr H. Sschuyler Foster (1967)
10.1243/03093247V242055
Free and constrained inflation of elastic membranes in relation to thermoforming — non-axisymmetric problems
J. M. Charrier (1987)
10.1243/03093247V222115
Free and constrained inflation of elastic membranes in relation to thermoforming — axisymmetric problems
J. M. Charrier (1987)
10.1111/j.1749-6632.1985.tb30006.x
On the Theory of Adhesive Friction of Elastomers
Yu. B. Chernyak (1985)
10.1007/S11012-015-0102-7
Constrained inflation of a stretched hyperelastic membrane inside an elastic cone
Amit Patil (2015)
Compression of spherical cells
T Lardner (1980)
Finite element modeling of balloon angioplasty by considering overstretch of remnant non-diseased tissue in lesions
TC Gasser (2007)
10.1098/rspa.1997.0010
Adhesion and friction between a smooth elastic spherical asperity and a plane surface
Kenneth Langstreth Johnson (1997)
10.1016/0045-7825(94)90163-5
Fold lines for sensitivity analyses in structural instability
Anders S. Eriksson (1994)
10.1016/0020-7683(92)90096-C
Inflation of an elastic cylindrical membrane: Non-linear deformation and instability
Roger E. Khayat (1992)
Contact Mechanics of a Circular Membrane Inflated Against a Soft Adhesive Substrate
Amit Patil (2014)
10.1016/J.JMPS.2010.06.007
Large deformation adhesive contact mechanics of circular membranes with a flat rigid substrate
Rong Long (2010)
10.1098/rspa.2013.0425
Large deformation contact mechanics of a pressurized long rectangular membrane. II. Adhesive contact
Abhishek Srivastava (2013)
10.1007/BF01595559
Large plane deformations of thin elastic sheets of neo-Hookean material
F. T. Wong (1969)
10.1016/B978-0-08-024249-1.50022-4
XII – Compression of Spherical Cells
T. J. Lardner (1980)
10.1002/cnm.2557
Finite element analysis of balloon-expandable coronary stent deployment: influence of angioplasty balloon configuration.
David Moral Martín (2013)
10.1016/0021-9797(75)90018-1
Effect of contact deformations on the adhesion of particles
Boris V. Derjaguin (1975)
10.1115/1.3408651
On Axisymmetrical Deformations of Nonlinear Membranes
Wei H. Yang (1970)
10.1098/rspa.1971.0141
Surface energy and the contact of elastic solids
Kenneth Langstreth Johnson (1971)
10.1007/978-1-84800-399-6
Handbook of Angioplasty and Stenting Procedures
Robert A. Morgan (2010)
10.1016/J.EUROMECHSOL.2013.02.007
Finite inflation of an initially stretched hyperelastic circular membrane
Amit Patil (2013)
10.2514/4.866616
Gossamer spacecraft : membrane and inflatable structures technology for space applications
Christopher H. M. Jenkins (2001)
10.1016/J.IJSOLSTR.2011.11.008
Axisymmetric membrane in adhesive contact with rigid substrates: Analytical solutions under large deformation
Rong Long (2012)
10.1016/J.IJNONLINMEC.2012.09.008
Finite inflation analysis of a hyperelastic toroidal membrane of initially circular cross-section
Ganesh Tamadapu (2013)
10.1016/0020-7462(95)00019-K
Point loads on a hemispherical elastic membrane
Xiaoguang Li (1995)
10.1080/00218460108029611
Adherence of an Axisymmetric Flat Punch on a Thin Flexible Membrane
Kai-tak Wan (2001)
10.1016/J.IJNONLINMEC.2013.06.015
On the contact problem of an inflated spherical hyperelastic membrane
Nirmal Kumar (2013)
10.1115/1.3422928
On the Contact Problem of an Inflated Spherical Nonlinear Membrane
William W. Feng (1973)
10.1098/rspa.2004.1419
A nonlinear, anisotropic and axisymmetric model for balloon angioplasty
D. A. Eftaxiopoulos (2005)
Dry adhesive friction of elastomers
RA Savkoor (1987)
On the inflation problem of a plane nonlinear membrane
WW Feng (1974)
influence of angioplasty balloon configuration
D Martin
10.1016/0264-682X(84)90061-3
Non-Linear Elastic Deformations
Ray W. Ogden (1984)
10.1016/S0045-7825(99)00428-4
Finite element analysis of air supported membrane structures
Javier Bonet (2000)
10.1016/S0020-7683(00)00151-7
Finite axisymmetric deformations of an initially stressed fluid-filled cylindrical membrane
Djenane Cordeiro Pamplona (2001)
10.1114/1.1492812
A Layer-Specific Three-Dimensional Model for the Simulation of Balloon Angioplasty using Magnetic Resonance Imaging and Mechanical Testing
Gerhard A. Holzapfel (2002)
10.1023/A:1007314720152
Energy Release Rates for the Peeling of Flexible Membranes and the Analysis of Blister Tests
James G. Williams (1997)
10.1007/s00466-006-0081-6
Finite Element Modeling of Balloon Angioplasty by Considering Overstretch of Remnant Non-diseased Tissues in Lesions
T. Christian Gasser (2007)
10.1002/nme.1620372203
Inflation of hyperelastic cylindrical membranes as applied to blow moulding. Part I. Axisymmetric case
Roger E. Khayat (1994)
10.1016/J.CMA.2012.05.012
Instability of hyper-elastic balloon-shaped space membranes under pressure loads
Anders Eriksson (2012)
10.1016/0020-7225(67)90036-5
The finite inflation of an elastic toroidal membrane
Anastasions D. Kydoniefs (1967)
10.1098/rspa.2013.0424
Large deformation contact mechanics of long rectangular membranes. I. Adhesionless contact
Abhishek Srivastava (2013)
10.5860/choice.28-2130
Biomechanics: Motion, Flow, Stress, and Growth
Carl Gans (1991)
10.1016/j.ijmecsci.2005.12.007
Finite deformations of cylindrical membrane under internal pressure
Djenane Cordeiro Pamplona (2006)
10.1016/J.EUROMECHSOL.2012.12.010
In-plane dynamics of membranes having constant curvature
Anirvan DasGupta (2013)
10.1161/01.RES.84.4.378
Balloon-artery interactions during stent placement: a finite element analysis approach to pressure, compliance, and stent design as contributors to vascular injury.
C Rogers (1999)
10.1016/0020-7683(75)90079-7
On the general contact problem of an inflated nonlinear plane membrane
William W. Feng (1975)
10.1007/BF02345154
Contact mechanics of a thin-walled capsule adhered onto a rigid planar substrate
Kang-lin Wan (2001)
10.1122/1.549847
Nonlinear analysis of the inflation of an initially flat, circular, elastic disk
Richard M. Christensen (1986)
10.1016/J.COMPSTRUC.2014.05.003
Constraint paths in non-linear structural optimization
Anders P. Eriksson (2014)
10.1016/S0021-9290(07)70044-1
MODELING THE HUMAN TORSO TO STUDY BABT
Jennifer C. Roberts (2007)
Effect of contact deformation on adhesion of particle
BV Derjaguin (1975)
10.1103/PHYSREVE.88.053201
Geometrical feature of the scaling behavior of the limit-point pressure of inflated hyperelastic membranes.
Ganesh Tamadapu (2013)
10.3970/CMES.2008.031.071
A Novel Time Integration Method for Solving A Large System of Non-Linear Algebraic Equations
Chein-Shan Liu (2008)



This paper is referenced by
10.1016/J.IJNONLINMEC.2017.06.017
Limit points in the free inflation of a magnetoelastic toroidal membrane
Narravula Harshavardhan Reddy (2017)
Parametric stability analyses for fluid-loaded thin membranes
Yang Zhou (2015)
10.1016/J.IJSOLSTR.2015.04.025
Contact mechanics of a circular membrane inflated against a deformable substrate
Amit Patil (2015)
10.1016/J.IJSOLSTR.2017.12.015
Instabilities in the axisymmetric magnetoelastic deformation of a cylindrical membrane
Narravula Harshavardhan Reddy (2017)
10.1016/J.IJMECSCI.2016.10.017
Deformation and stability of short cylindrical membranes
Majid Soleimani (2016)
10.1016/J.IJNONLINMEC.2016.08.002
Cylindrical membrane partially stretched on a rigid cylinder
Alexey M. Kolesnikov (2016)
Numerical instability investigations for thin membranes
Y. B. Zhou (2017)
Inflation and Instabilities of Hyperelastic Membranes
Amit Patil (2016)
10.1038/s41467-018-08091-z
A micro-dispenser for long-term storage and controlled release of liquids
Amin Kazemzadeh (2019)
10.1016/J.EML.2019.100485
Mechanics of a pressure-controlled adhesive membrane for soft robotic gripping on curved surfaces
Sukho Song (2019)
10.1007/S11012-015-0102-7
Constrained inflation of a stretched hyperelastic membrane inside an elastic cone
Amit Patil (2015)
Advanced Structured Materials
Holm Altenbach (2015)
10.1007/S11043-016-9315-Y
Time-evolving collagen-like structural fibers in soft tissues: biaxial loading and spherical inflation
Heiko Topol (2017)
10.1007/s11071-020-05661-z
Intra-well and cross-well chaos in membranes and shells liable to buckling
Frederico M. A. Silva (2020)
10.1016/J.COMPSTRUC.2015.08.014
Parametric stability investigations for hydro-statically loaded membranes
Anders Eriksson (2016)
10.1016/J.EUROMECHSOL.2015.05.015
Wrinkling of cylindrical membranes with non-uniform thickness
Amit Patil (2015)
10.1098/rspa.2015.0016
Instability investigation on fluid-loaded pre-stretched cylindrical membranes
Amit Patil (2015)
10.1016/J.IJNONLINMEC.2017.08.008
Tension of a cylindrical membrane partially stretched over a rigid cylinder
Alexey M. Kolesnikov (2017)
10.1016/J.IJNONLINMEC.2016.02.005
Multi-parametric stability investigation for thin spherical membranes filled with gas and fluid
Yang Zhou (2016)
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