Influence of Thermally Induced Chemorheological Changes on the Inflation of Spherical Elastomeric Membranes

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dc.contributor.author Wineman, Alan S. en_US
dc.contributor.author Shaw, John en_US
dc.date.accessioned 2006-09-08T20:36:47Z
dc.date.available 2006-09-08T20:36:47Z
dc.date.issued 2005-07 en_US
dc.identifier.citation Wineman, Alan; Shaw, John; (2005). "Influence of Thermally Induced Chemorheological Changes on the Inflation of Spherical Elastomeric Membranes." Journal of Elasticity 80 (1-3): 73-95. <http://hdl.handle.net/2027.42/42688> en_US
dc.identifier.issn 0374-3535 en_US
dc.identifier.issn 1573-2681 en_US
dc.identifier.uri http://hdl.handle.net/2027.42/42688
dc.description.abstract When an elastomeric material is deformed and subjected to temperatures above some chemorheological value T cr (near 100°C for natural rubber), its macromolecular structure undergoes time and temperature dependent chemical changes. The process continues until the temperature decreases below T cr . Compared to the virgin material, the new material system has modified properties (often a reduced stiffness) and permanent set on removal of the applied load. A recently proposed constitutive theory is used to study the influence of chemorheological changes on the inflation of an initially isotropic spherical rubber membrane. The membrane is inflated while at a temperature below T cr . We then look at the pressure response assuming the sphere's radius is held fixed while the temperature is increased above T cr for a period of time and then returned to its original value. The inflation pressure during this process is expressed in terms of the temperature, representing entropic stiffening of the elastomer, and a time dependent property that represents the kinetics of the chemorheological change in the elastomer. When the membrane has been returned to its original temperature, it is shown to have a permanent set and a modified pressure-inflated radius relation. Their dependence on the initial inflated radius, material properties and kinetics of chemorheological change is studied when the underlying elastomeric networks are neo-Hookean or Mooney–Rivlin. en_US
dc.format.extent 497548 bytes
dc.format.extent 3115 bytes
dc.format.mimetype application/pdf
dc.format.mimetype text/plain
dc.language.iso en_US
dc.publisher Kluwer Academic Publishers; Springer Science+Business Media, Inc. en_US
dc.subject.other Elastomers en_US
dc.subject.other Membranes en_US
dc.subject.other Scission and Crosslinking en_US
dc.subject.other Chemorheology en_US
dc.subject.other Thermal Effects. en_US
dc.subject.other 74F05 en_US
dc.subject.other 74F25 en_US
dc.subject.other 74D10 en_US
dc.subject.other 74E94 en_US
dc.title Influence of Thermally Induced Chemorheological Changes on the Inflation of Spherical Elastomeric Membranes en_US
dc.type Article en_US
dc.subject.hlbsecondlevel Mathematics en_US
dc.subject.hlbtoplevel Science en_US
dc.description.peerreviewed Peer Reviewed en_US
dc.contributor.affiliationum Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA, en_US
dc.contributor.affiliationum Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 48109, USA, en_US
dc.contributor.affiliationumcampus Ann Arbor en_US
dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/42688/1/10659_2005_Article_9020.pdf en_US
dc.identifier.doi http://dx.doi.org/10.1007/s10659-005-9020-6 en_US
dc.identifier.source Journal of Elasticity en_US
dc.owningcollname Interdisciplinary and Peer-Reviewed
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