Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack

Amiri-Hezaveh, A. and Moghaddasi, H. and Karimi, P. and Ostoja-Starzewski, M. (2017) Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 97 (11). pp. 1338-1357. ISSN 0044-2267 (https://doi.org/10.1002/zamm.201600282)

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Abstract

The problem of axisymmetric vibration of a flat thin rigid circular plate located inside a vertically exponentially graded, transversely isotropic material of infinite extent is addressed by means of a displacement potential method. The contact condition on one side of the foundation is assumed to be the perfect adhesion with the media but known to be faced by a penny-shaped crack at the other side as it occurs in anchors. The mixed boundary value problem is formulated with the aid of Hankel integral transforms and is written in the form of a set of singular integral equations. The analytical procedure for the special case of vertical movement of the rigid plate results in a closed form solution. The solution is pursued numerically for the general elastodynamic case. The physical quantities, such as contact stress on the plate and the stress and displacement fields in the non-homogeneous medium are obtained for different materials.

  • Item type:Article
    ID code:83973
    Dates:
    Date
    Event
    1 November 2017
    Published
    11 May 2017
    Published Online
    11 April 2017
    Accepted
    Notes:Funding Information: Acknowledgement The authors wish to thank Prof. A.P.S. Selvadurai (McGill University) and Prof. M. Eskandari-Ghadi (University of Tehran) for their valuable comments during the preparation of the manuscript. This work has partially been supported by the NSF under grant IIP-1362146 (I/UCRC: Novel High Voltage/Temperature Materials and Structures). Publisher Copyright: © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
    Subjects:Technology > Mechanical engineering and machinery
    Department:Faculty of Engineering > Civil and Environmental Engineering
    Depositing user: Pure Administrator
    Date deposited:02 Feb 2023 09:30
    Last modified:14 Apr 2024 01:04
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/83973
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