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Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells


Reference:

Hornung, P., Lewicka, M. and Pakzad, M. R., 2013. Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells. Journal of Elasticity

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    Official URL:

    http://dx.doi.org/10.1007/s10659-012-9391-4

    Abstract

    We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the surface, any first order infinitesimal isometry can be matched to an infinitesimal isometry of an arbitrarily high order. We discuss the implications of this result for the elasticity of thin developable shells.

    Details

    Item Type Articles
    CreatorsHornung, P., Lewicka, M. and Pakzad, M. R.
    DOI10.1007/s10659-012-9391-4
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementHornung_Journal-Elasticity_2012.pdf: The original publication is available at www.springerlink.com
    RefereedYes
    StatusPublished
    ID Code30176

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