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Dynamic contact of a spherical indenter and a prestressed orthotropic Uflyand–Mindlin plate

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Abstract

In this paper, the dynamic contact of a spherical indenter and an orthotropic plate is investigated. The plate possesses curvilinear anisotropy and is subject to a prestressing longitudinal force together with two moments. The dynamic behavior of the target is described by wave equations that take into account the transverse shear and rotary inertia of the cross sections and allow for modeling the process of propagation of elastic waves after the impact. The asymptotic method of the series expansion of unknown quantities in terms of a Legendre polynomial and Laurent series nearby the desirable point is used as a method of solution. In this work, the dynamic characteristics of the interaction are determined, and the influence of the preloaded target on these dynamic characteristics is investigated. The results of the analysis are represented in form of analytical expressions and graphical dependencies. The influence of the prestressed plate on the dynamic buckling and the contact force at the interaction point is studied.

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Authors and Affiliations

  1. Department of Theoretical Mechanics, Moscow State University of Civil Engineering, Moscow, Russia

    A. A. Loktev

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  1. A. A. Loktev
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Correspondence to A. A. Loktev.

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Loktev, A.A. Dynamic contact of a spherical indenter and a prestressed orthotropic Uflyand–Mindlin plate. Acta Mech 222, 17 (2011). https://doi.org/10.1007/s00707-011-0517-8

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  • DOI: https://doi.org/10.1007/s00707-011-0517-8

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