Superposition of small shear deformations on large uniaxial extensions for viscoelastic materials

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dc.contributor.author Zapas, L. J. en_US
dc.contributor.author Wineman, Alan S. en_US
dc.date.accessioned 2006-04-07T19:03:49Z
dc.date.available 2006-04-07T19:03:49Z
dc.date.issued 1985-07 en_US
dc.identifier.citation Zapas, L. J., Wineman, Alan (1985/07)."Superposition of small shear deformations on large uniaxial extensions for viscoelastic materials." Polymer 26(7): 1105-1109. <http://hdl.handle.net/2027.42/25639> en_US
dc.identifier.uri http://www.sciencedirect.com/science/article/B6TXW-48CPFMB-14W/2/238e4abc07c49ac6fcce9cf4f3f5024c en_US
dc.identifier.uri http://hdl.handle.net/2027.42/25639
dc.description.abstract The equation for small amplitude torsional response superposed on a finite axial stretch history is derived for a material modelled by the BKZ constitutive equation. For the case of a uniaxial step stretch history, this equation contains a term generalizing the well known Rivlin result for nonlinear elasticity plus two additional terms. The equation is used to analyse a recent experiment which studies the relation between the period of free torsional oscillations, axial stretch and axial force in a material undergoing stress relaxation. It is shown that a 10% discrepancy which arises when the data is related by Rivlin's formula can be accounted for by the two additional terms associated with the BKZ formulation. Finally, an expression for the complex modulus for forced torsional oscillations is derived. en_US
dc.format.extent 476258 bytes
dc.format.extent 3118 bytes
dc.format.mimetype application/pdf
dc.format.mimetype text/plain
dc.language.iso en_US
dc.publisher Elsevier en_US
dc.title Superposition of small shear deformations on large uniaxial extensions for viscoelastic materials en_US
dc.type Article en_US
dc.rights.robots IndexNoFollow en_US
dc.subject.hlbsecondlevel Management en_US
dc.subject.hlbsecondlevel Chemistry en_US
dc.subject.hlbsecondlevel Chemical Engineering en_US
dc.subject.hlbsecondlevel Economics en_US
dc.subject.hlbtoplevel Science en_US
dc.subject.hlbtoplevel Business en_US
dc.subject.hlbtoplevel Engineering en_US
dc.description.peerreviewed Peer Reviewed en_US
dc.contributor.affiliationum Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109, USA en_US
dc.contributor.affiliationother National Measurement Laboratory, National Bureau of Standards, Washington, D.C. 20234, USA en_US
dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/25639/1/0000189.pdf en_US
dc.identifier.doi http://dx.doi.org/10.1016/0032-3861(85)90237-X en_US
dc.identifier.source Polymer en_US
dc.owningcollname Interdisciplinary and Peer-Reviewed
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