The results of studying the effect of initial stress on the bending moment in a plate laying on a prestressed half-space under live static load are presented. The equation of motion of the plate is written considering the shear and inertia of rotation. The solution is obtained in the transform domain for the general case of compressible and incompressible half-spaces, different contact conditions, and load velocities. The numerical analysis is carried out for a compressible material with harmonic potential and an incompressible material with Bartenev-Khazanovich potential. Numerical results are analyzed (diagrams and tables)
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Translated from Prikladnaya Mekhanika, Vol. 53, No. 3, pp. 63–76, 2017.
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Babich, S.Y., Glukhov, Y.P. Bending a Plate on Prestressed Elastic Foundation Under Live Static Load. Int Appl Mech 53, 287–299 (2017). https://doi.org/10.1007/s10778-017-0810-x
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DOI: https://doi.org/10.1007/s10778-017-0810-x