Nonlinearity parameters for pulse propagation in isotropic elastomers

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dc.contributorVirginia Tech. Engineering Science and Mechanics Departmenten
dc.contributor.authorCarman, Greg P.en
dc.contributor.authorCramer, Mark S.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2015-05-12en
dc.date.accessioned2015-05-28T14:56:11Zen
dc.date.available2015-05-28T14:56:11Zen
dc.date.issued1992-01-01en
dc.description.abstractThe propagation of one-dimensional shear waves in isotropic hyperelastic materials is examined. Both compressible and incompressible materials subject to arbitrarily large shear prestrains are considered. The nonlinear evolution equation governing small disturbances on prestrained undisturbed states is derived. The prestrain is seen to change the nonlinearity from the cubic form found in the unstrained case to the stronger quadratic form governed by the conventional Burgers' equation. Additional results include explicit and general expressions for the quadratic and cubic nonlinearity parameters. Numerical estimates are also provided for natural rubber and foamed polyurethane. It is demonstrated that the quadratic nonlinearity parameter does not increase monotonically with prestrain and may actually vanish at nonzero values of the prestrain.en
dc.description.sponsorshipVirginia Institute of Material Scienceen
dc.description.sponsorshipNational Science Foundation (U.S.) - Grant No. CTS-891398en
dc.format.extent13 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationCarman, G. P., & Cramer, M. S. (1992). Nonlinearity parameters for pulse propagation in isotropic elastomers. Journal of the Acoustical Society of America, 91(1), 39-51. doi: 10.1121/1.402727en
dc.identifier.doihttps://doi.org/10.1121/1.402727en
dc.identifier.issn0001-4966en
dc.identifier.urihttp://hdl.handle.net/10919/52741en
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/91/1/10.1121/1.402727en
dc.language.isoen_USen
dc.publisherAcoustical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectElastomeric polymersen
dc.subjectMechanical wavesen
dc.subjectPulse propagationen
dc.subjectRubberen
dc.titleNonlinearity parameters for pulse propagation in isotropic elastomersen
dc.title.serialJournal of the Acoustical Society of Americaen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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