New universal relations for nonlinear isotropic elastic materials
dc.contributor.author | Wineman, Alan S. | en_US |
dc.contributor.author | Rajagopal, Kumbakonam R. | en_US |
dc.date.accessioned | 2006-09-08T20:35:57Z | |
dc.date.available | 2006-09-08T20:35:57Z | |
dc.date.issued | 1987-01 | en_US |
dc.identifier.citation | Rajagopal, K. R.; Wineman, Alan S.; (1987). "New universal relations for nonlinear isotropic elastic materials." Journal of Elasticity 17(1): 75-83. <http://hdl.handle.net/2027.42/42675> | en_US |
dc.identifier.issn | 0374-3535 | en_US |
dc.identifier.issn | 1573-2681 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42675 | |
dc.description.abstract | A nonlinear isotropic elastic block is subjected to a homogeneous deformation consisting of simple shear superposed on triaxial extension. Two new relations are established for this deformation which are valid for all nonlinear elastic isotropic materials, and hence are universal relations. The first is a relation between the stretch ratios in the plane of shear and the amount of shear when the deformation is supported only by shear tractions. The second relation is established for a thin-walled cylinder under combined extension, inflation and torsion. Each material element of the cylinder undergoes the same local homogeneous deformation of shear superposed on triaxial extension. The properties of this deformation are used to establish a relation between pressure, twisting moment, angle of twist and current dimensions when no axial force is applied to the cylinder. It is shown that these relations also apply for a mixture of a nonlinear isotropic solid and a fluid. | en_US |
dc.format.extent | 433911 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; Martinus Nijhoff Publishers ; Springer Science+Business Media | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Mechanics | en_US |
dc.subject.other | Automotive and Aerospace Engineering | en_US |
dc.title | New universal relations for nonlinear isotropic elastic materials | 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 and Applied Mechanics, The University of Michigan, 48109, Ann Arbor, Michigan, U.S.A. | en_US |
dc.contributor.affiliationother | Department of Mechanical Engineering, University of Pittsburgh, 15260, Pittsburgh, Pennsylvania, U.S.A. | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42675/1/10659_2004_Article_BF00042450.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00042450 | en_US |
dc.identifier.source | Journal of Elasticity | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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