Influence of Thermally Induced Chemorheological Changes on the Inflation of Spherical Elastomeric Membranes
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 | https://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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