Inflation and Instability of a Polymeric Membrane

Jesper Neergaard; Ole Hassager

Inflation and Instability of a Polymeric Membrane

Jesper Neergaard
, Ole Hassager

Department of Chemical and Biochemical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

We consider the inflation of an axisymmetric polymeric membrane. Some membranes composed of viscoelastic materials described by a Mooney-Rivlin model show a monotone increasingpressure during inflation. These materialsdevelop a homogeneous membrane thickness in agreement with the Considere-Pearson condition.Molecularly based models such as the neo-Hookean, Doi-Edwards or Tom-Pom model exhibit a pressure maximum when inflated. Membranes described by these models develop local thinning which may lead to bursting in finite time. Chain branching is found to be a stabilizing factor for a polymer membrane undergoing inflation.

Original language	English
Title of host publication	Annual Transactions of the Nordic Rheology Society
Publication date	1999
Publication status	Published - 1999
Event	Nordic Rheology Conference 1999 - Kongens Lyngby, Denmark Duration: 9 Jun 1999 → 11 Jun 1999

Conference

Conference	Nordic Rheology Conference 1999
Country/Territory	Denmark
City	Kongens Lyngby
Period	09/06/1999 → 11/06/1999

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Cite this

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title = "Inflation and Instability of a Polymeric Membrane",

abstract = "We consider the inflation of an axisymmetric polymeric membrane. Some membranes composed of viscoelastic materials described by a Mooney-Rivlin model show a monotone increasingpressure during inflation. These materialsdevelop a homogeneous membrane thickness in agreement with the Considere-Pearson condition.Molecularly based models such as the neo-Hookean, Doi-Edwards or Tom-Pom model exhibit a pressure maximum when inflated. Membranes described by these models develop local thinning which may lead to bursting in finite time. Chain branching is found to be a stabilizing factor for a polymer membrane undergoing inflation.",

author = "Jesper Neergaard and Ole Hassager",

year = "1999",

language = "English",

booktitle = "Annual Transactions of the Nordic Rheology Society",

note = "Nordic Rheology Conference 1999 ; Conference date: 09-06-1999 Through 11-06-1999",

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TY - GEN

T1 - Inflation and Instability of a Polymeric Membrane

AU - Neergaard, Jesper

AU - Hassager, Ole

PY - 1999

Y1 - 1999

N2 - We consider the inflation of an axisymmetric polymeric membrane. Some membranes composed of viscoelastic materials described by a Mooney-Rivlin model show a monotone increasingpressure during inflation. These materialsdevelop a homogeneous membrane thickness in agreement with the Considere-Pearson condition.Molecularly based models such as the neo-Hookean, Doi-Edwards or Tom-Pom model exhibit a pressure maximum when inflated. Membranes described by these models develop local thinning which may lead to bursting in finite time. Chain branching is found to be a stabilizing factor for a polymer membrane undergoing inflation.

AB - We consider the inflation of an axisymmetric polymeric membrane. Some membranes composed of viscoelastic materials described by a Mooney-Rivlin model show a monotone increasingpressure during inflation. These materialsdevelop a homogeneous membrane thickness in agreement with the Considere-Pearson condition.Molecularly based models such as the neo-Hookean, Doi-Edwards or Tom-Pom model exhibit a pressure maximum when inflated. Membranes described by these models develop local thinning which may lead to bursting in finite time. Chain branching is found to be a stabilizing factor for a polymer membrane undergoing inflation.

M3 - Article in proceedings

BT - Annual Transactions of the Nordic Rheology Society

T2 - Nordic Rheology Conference 1999

Y2 - 9 June 1999 through 11 June 1999

ER -