Abstract
The paper addresses a plane problem: a concentrated force acts on a plate resting on an elastic half-space with homogeneous prestrain. The equations of motion of the plate incorporate shear and rotary inertia. The half-space is assumed to be incompressible and isotropic in the natural state. The elastic potential is given in general form and is only specified for numerical purposes. The dependence of the critical velocity of the load and the stress-strain state on the prestresses is analyzed for different ratios between the stiffnesses of the layer and half-space and different contact conditions. The calculations are carried out for a half-space with Bartenev-Khazanovich potential
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 3, pp. 36–54, March 2008.
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Babich, S.Y., Glukhov, Y.P. & Guz, A.N. Dynamics of a prestressed incompressible layered half-space under moving load. Int Appl Mech 44, 268–285 (2008). https://doi.org/10.1007/s10778-008-0043-0
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DOI: https://doi.org/10.1007/s10778-008-0043-0