AN ORTHOGONAL UNIFORM/PARABOLIC SURFACE PRESSURE HALF-SPACE ELEMENT FOR THE ANALYSIS OF NON-HERTZIAN CONTACT
An orthogonal uniform/parabolic surface pressure half-space element is derived for the analysis of non-Hertzian contact. Restriction is made to parabolic variation of the surface gap in the contact in one orthogonal direction. The surface pressure is integrated analytically over the surface element to obtain influence co-efficeints, e.g. for the normal surface displacement. The coefficients are assembled into matrices leading to a linear system of equations. After solving the parabolic pressure variation is transformed to an equivalent semi-elliptic one coinciding with Hertzian line contact. Adjustments are introduced to approximate the finite size of the bodies in contact. The theoretical predictions are compared to experiments involving the non-Hertzian contact between cylinders of finite lengths.
A Numerical Solution for the Contact Problem Involving Bodies With Cylindrical Surface Considering Cylinder Effect
Solution numerique au probleme du contact entre des corps cylindriques en tenant compte de l'effet du aux formes cylindriques
Hetényi's elastic quarter space problem revisited
Abstract Transform methods are used to solve the problem of an elastic quarter space subjected to tractions on its surface. The present analysis uses the reflection principle to formulate problem as the solution of unknown residual surface tractions. A Fourier transform is taken in the direction of the edge of the quarter space. The problem is thereby reduced to decouplable integral equations, which are similar to those for the elastic quarter plane. Field quantities are obtained by performing the appropriate inverse transforms and the present results are compared with those of Hetenyi for the normally loaded case. Additional results are given for the cases of tangential surface loading.