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Recovering Planar Lame Moduli from a Single-Traction Experiment
dc.contributor.authorCox, Stevenen_US
dc.contributor.authorGockenbach, Mark S.en_US
dc.date.accessioned2010-04-14T13:44:14Z
dc.date.available2010-04-14T13:44:14Z
dc.date.issued1997en_US
dc.identifier.citationCox, Steven; Gockenbach, Mark (1997). "Recovering Planar Lame Moduli from a Single-Traction Experiment." Mathematics and Mechanics of Solids 2(3): 297-306. <http://hdl.handle.net/2027.42/68528>en_US
dc.identifier.issn1081-2865en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/68528
dc.description.abstractUnder a simple nondegeneracy condition, the displacement and edge traction of a planar, isotropic, linearly elastic solid determine its Lame moduli. When these moduli are constant, they can be recovered exactly; this is demonstrated by a specific traction satisfying the nondegeneracy condition. Spatially varying moduli can be computed numerically by considering the equations of linear elasticity as a hyperbolic system for the unknown moduli. A stable finite difference scheme for solving this system is given; synthetic experiments demonstrate its efficacy.en_US
dc.format.extent3108 bytes
dc.format.extent760343 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherSage Publicationsen_US
dc.titleRecovering Planar Lame Moduli from a Single-Traction Experimenten_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMechanical Engineeringen_US
dc.subject.hlbtoplevelEngineeringen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor; MI 48109en_US
dc.contributor.affiliationotherDepartment of Computational and Applied Mathematics, Rice University, Houston, TX 77005en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/68528/2/10.1177_108128659700200304.pdf
dc.identifier.doi10.1177/108128659700200304en_US
dc.identifier.sourceMathematics and Mechanics of Solidsen_US
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dc.owningcollnameInterdisciplinary and Peer-Reviewed


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