Normal Impact of A Rigid Cone-shaped against A Viscoelastic Plate on Viscoelastic Foundation
Main Article Content
Abstract
This paper considers the problem of a low-velocity normal impact of a rigid cone-shaped upon a viscoelastic plate. The contact force is defined by the modified Hertz's contact law. Approximate solutions of the system of nonlinear integro-differential equations for the contact force and local indentation have been obtained.
Keywords:
Normal impact, viscoelastic plate, Kelvin-Voigt model.
References
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[2] Y. A. Rossikhin, M. V. Shitikova, Analysis of Two Colliding Fractionally Damped Spherical Shells in Modelling Blunt Human Head Impacts, Central European Journal of Physics, Vol. 11, 2013, pp. 760-778, https://doi.org/10.2478/s11534-013-0194-4.
[3] Y. A. Rossikhin, M. V. Shitikova, D. T. Manh, Modelling of the Collision of Two Viscoelastic Spherical Shells, Mechanics of Time-Dependent Materials, Vol. 20, 2016, pp. 481-509, https://doi.org/10.1007/s11043-016-9308-x.
[4] Y. N. Rabotnov, Creep of Structure Elements, Naka, Moscow, 1966.
[5] I. N. Sneddon, The Relation Between Load and Penetration in The Axisymmetric Boussinesq Problem for A Punch of Arbitrary Profile, International Journal of Engineering Science, Vol. 3, 1965, pp. 47-57, https://doi.org/10.1016/0020-7225(65)90019-4.