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Contact Mechanics of a Circular Membrane Inflated Against a Soft Adhesive Substrate
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0003-3716-8520
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
2014 (English)In: International Journal of Solids and Structures, ISSN 0020-7683, E-ISSN 1879-2146Article in journal (Other academic) Submitted
Place, publisher, year, edition, pages
2014.
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-160729OAI: oai:DiVA.org:kth-160729DiVA: diva2:791201
Note

QS 2015

Available from: 2015-02-27 Created: 2015-02-27 Last updated: 2017-12-04Bibliographically approved
In thesis
1. Inflation Mechanics of Hyperelastic Membranes
Open this publication in new window or tab >>Inflation Mechanics of Hyperelastic Membranes
2015 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

The applications of inflatable membrane structures are increasing rapidly in the various fields of engineering and science. The geometric, material, force and contact non-linearities complicate this subject further, which in turn increases the demand for computationally efficient methods and interpretations of counter-intuitive behaviors noted by the  scientific community. To understand the complex behavior of membranes in biological and medical engineering contexts, it is necessary to understand the mechanical behavior of a membrane from a physics point of view. 

The first part of the  present work studies the pre-stretched circular membrane in contact with a soft linear substrate. Adhesive and frictionless contact conditions are considered during inflation, while only adhesive contact conditions are considered during deflation. The peeling of membrane during deflation is studied, and a numerical formulation of the energy release rate is proposed. It is observed that the pre-stretch is having a considerable effect on the variation of the energy release rate.

In the second part, free and constrained inflation of a cylindrical membrane is investigated. Adhesive and frictionless contact conditions are considered between the membrane and substrate. It is observed that the continuity of principal stretches and stresses depend on contact conditions and the inflation/deflation phase. The adhesive traction developed during inflation and deflation arrests the axial movement of material points, while an adhesive line force created at the contact boundary is responsible for a jump in stretches and stresses at the contact boundary. The pre-stretch produces a softening effect in free and constrained inflation of cylindrical membranes.

The third part of the thesis discusses the instabilities observed for fluid containing cylindrical membranes. Both limit points and bifurcation points are observed on equilibrium branches. The secondary branches emerge from bifurcation points, with their directions determined by an eigen-mode injection method. The occurrence of critical points and the stability of equilibrium branches are determined by perturbation techniques. The relationship between eigenvalue analysis and symmetry is highlighted in this part of the thesis.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2015. xii, 24 p.
Series
TRITA-MEK, ISSN 0348-467X ; 2015:01
Keyword
Membrane Mechanics, Inflation, Adhesive Contact, Instabilities, Bifurcation, Limit Point
National Category
Applied Mechanics
Research subject
Engineering Mechanics
Identifiers
urn:nbn:se:kth:diva-160707 (URN)978-91-7595-447-9 (ISBN)
Presentation
2015-03-05, E2, Lindstedtsvägen 3, KTH Main campus, Stockholm, 10:15 (English)
Opponent
Supervisors
Note

QC 20150227

Available from: 2015-02-27 Created: 2015-02-26 Last updated: 2015-02-27Bibliographically approved

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Patil, AmitEriksson, Anders

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