Contact Stresses of an Elastic Plate Pressed onto a Rigid Base with a Cylindrical Protrusion or Pit

抄録

The axisymmetric elastic contact problems of a plate pressed onto a rigid base with a cylindrical protrusion or pit are considered analytically. The problems are three-part mixed boundary value problems with unknown contact border. In the analysis, a general representation of the displacement of the contact surface is given by a term of infinite series, and the problems are reduced to the solutions of two infinite systems of simultaneous equations, by considering the smooth contact conditions on the contact border. Numerical results are shown for the distributions of contact stresses and surface displacements and for the relations among the pressure, the plate thickness, the annular contact region and the magnitudes of the protrusion or pit.