Inflation and Failure of Polymeric Membranes

Ole Hassager; Jesper Neergaard

Inflation and Failure of Polymeric Membranes

Ole Hassager, Jesper Neergaard

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 materialsdescribed 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-Edwardsor Pom-Pom models, as well as the network model recently proposed byMarrucci, exhibit a pressure maximum when inflated. Membranesdescribed by these models develop local thinningwhich may lead to bursting in finite time.Chain branching is found to stabilize the inflated polymer membrane.

Original language	English
Title of host publication	Proceedings of the XIIIth International Congress on Rheology
Volume	2
Place of Publication	Cambridge, UK
Publisher	British Society of Rheology
Publication date	2000
Pages	380-382
Publication status	Published - 2000
Event	XIII International Congress on Rheology - Cambridge, United Kingdom Duration: 20 Aug 2000 → 25 Aug 2000 Conference number: 13

Conference

Conference	XIII International Congress on Rheology
Number	13
Country/Territory	United Kingdom
City	Cambridge
Period	20/08/2000 → 25/08/2000

OpenUrl availability

Full text

Cite this

@inproceedings{45c72270f06e4c54b99471e27b61ad2b,

title = "Inflation and Failure of Polymeric Membranes",

abstract = "We consider the inflation of an axisymmetric polymeric membrane.Some membranes composed of viscoelastic materialsdescribed 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-Edwardsor Pom-Pom models, as well as the network model recently proposed byMarrucci, exhibit a pressure maximum when inflated. Membranesdescribed by these models develop local thinningwhich may lead to bursting in finite time.Chain branching is found to stabilize the inflated polymer membrane.",

author = "Ole Hassager and Jesper Neergaard",

year = "2000",

language = "English",

volume = "2",

pages = "380--382",

booktitle = "Proceedings of the XIIIth International Congress on Rheology",

publisher = "British Society of Rheology",

note = "XIII International Congress on Rheology ; Conference date: 20-08-2000 Through 25-08-2000",

}

TY - GEN

T1 - Inflation and Failure of Polymeric Membranes

AU - Hassager, Ole

AU - Neergaard, Jesper

N1 - Conference code: 13

PY - 2000

Y1 - 2000

N2 - We consider the inflation of an axisymmetric polymeric membrane.Some membranes composed of viscoelastic materialsdescribed 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-Edwardsor Pom-Pom models, as well as the network model recently proposed byMarrucci, exhibit a pressure maximum when inflated. Membranesdescribed by these models develop local thinningwhich may lead to bursting in finite time.Chain branching is found to stabilize the inflated polymer membrane.

AB - We consider the inflation of an axisymmetric polymeric membrane.Some membranes composed of viscoelastic materialsdescribed 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-Edwardsor Pom-Pom models, as well as the network model recently proposed byMarrucci, exhibit a pressure maximum when inflated. Membranesdescribed by these models develop local thinningwhich may lead to bursting in finite time.Chain branching is found to stabilize the inflated polymer membrane.

M3 - Article in proceedings

VL - 2

SP - 380

EP - 382

BT - Proceedings of the XIIIth International Congress on Rheology

PB - British Society of Rheology

CY - Cambridge, UK

T2 - XIII International Congress on Rheology

Y2 - 20 August 2000 through 25 August 2000

ER -

Inflation and Failure of Polymeric Membranes

Abstract

Conference

OpenUrl availability

Fingerprint

Cite this