On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
dc.contributor.author | Triantafyllidis, Nicolas | en_US |
dc.contributor.author | Bardenhagen, S. | en_US |
dc.date.accessioned | 2006-09-08T20:36:24Z | |
dc.date.available | 2006-09-08T20:36:24Z | |
dc.date.issued | 1993-12 | en_US |
dc.identifier.citation | Triantafyllidis, N.; Bardenhagen, S.; (1993). "On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models." Journal of Elasticity 33(3): 259-293. <http://hdl.handle.net/2027.42/42682> | en_US |
dc.identifier.issn | 0374-3535 | en_US |
dc.identifier.issn | 1573-2681 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42682 | |
dc.description.abstract | Higher order gradient continuum theories have often been proposed as models for solids that exhibit localization of deformation (in the form of shear bands) at sufficiently high levels of strain. These models incorporate a length scale for the localized deformation zone and are either postulated or justified from micromechanical considerations. Of interest here is the consistent derivation of such models from a given microstructure and the subsequent comparison of the solution to a boundary value problem using both the exact microscopic model and the corresponding approximate higher order gradient macroscopic model. | en_US |
dc.format.extent | 1615410 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 | 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 | On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models | 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 | College of Engineering, Department of Aerospace Engineering, The University of Michigan, 48109-2140, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationum | College of Engineering, Department of Aerospace Engineering, The University of Michigan, 48109-2140, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42682/1/10659_2004_Article_BF00043251.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00043251 | en_US |
dc.identifier.source | Journal of Elasticity | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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