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dc.contributor.authorDestrade, Michel
dc.identifier.citationM. Destrade and R. W. Ogden On stress-dependent elastic moduli and wave speeds IMA J Appl Math 2012 : hxs003v1-hxs003.en_US
dc.descriptionJournal articleen_US
dc.description.abstractOn the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent tensor of incremental elastic moduli. In considering three special cases of initial stress within the general framework, namely hydrostatic stress, uniaxial stress and planar shear stress, we then elucidate in general form the dependence of various elastic moduli on the initial stress. In each case, the effect of initial stress on the wave speed of homogeneous plane waves is studied and it is shown how various special theories from the earlier literature fit within the general framework. We then consider the situation in which the initial stress is a pre-stress associated with a finite deformation and, in particular, we discuss the specialization to the second-order theory of elasticity and highlight connections between several classical approaches to the topic, again with special reference to the influence of higher-order terms on the speed of homogeneous plane waves. Some discrepancies arising in the earlier literature are noted.en_US
dc.description.sponsorshipRoyal Society of London (International Joint Project Grant)en_US
dc.publisherOxford Journalsen_US
dc.subjectElastic modulien_US
dc.subjectIsotropic stressen_US
dc.subjectInitial stressen_US
dc.subjectPlane wavesen_US
dc.titleOn stress-dependent elastic moduli and wave speedsen_US

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