Abstract
It is shown that the analysis of axisymmetric interaction between a thick circular plate resting in smooth contact with an isotropic elastic halfspace can be examined by employing a variational approach. The plate deflections and the shear deformation are prescribed functions. The results derived for the variational method agree closely with known exact solutions for limiting values of the relative rigidity between the thick plate and the elastic halfspace. The various numerical results presented in this paper indicate the manner in which the deflections, flexural moments and contact stresses in the thick plate can be influenced by (i) the thickness to diameter ratio of the plate, (ii) the modular ratio of the plate material and the supporting medium, and (iii) the extent of localization of the applied loads.
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