Elastic Plates Motions with Transverse Variation of Microrotation

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dc.creatorSteinberg, Lev
dc.date2009-01-14
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:36:47Z
dc.date.available2026-07-07T12:36:47Z
dc.descriptionThe purpose of this paper is to present a new mathematical model for the dynamics of thin Cosserat elastic plates. Our approach, which is based on a generalization of the classical Reissner-Mindlin plate theory, takes into account the transverse variation of microrotation and corresponding microintertia of the the elastic plates. The model assumes polynomial approximations over the plate thickness of asymmetric stress, couple stress, displacement, and microrotation, which are consistent with the elastic equilibrium, boundary conditions and the constitutive relationships. Based on the generalized Hellinger-Prange-Reissner variational principle for the dynamics and strain-displacement relation we obtain the complete dynamic theory of Cosserat plate. Key words: Cosserat materials, elastic plates, transverse microrotation, variational principle, elastodynamics
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0901.2089
dc.identifierhttp://arxiv.org/abs/0901.2089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218210
dc.subjectMathematical Physics
dc.subject74B99, 74K20, 83C15, 74E20
dc.titleElastic Plates Motions with Transverse Variation of Microrotation
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