Resumen de Finding of Rigid Punch Shape and Optimal Contact Pressure Distribution#
N.V. Banichuk, S.Yu. Ivanova, E.V. Makeev
The problem of contact pressure optimization is formulated for the case of rigid punch interacted with elastic medium. Coupling of the punch penetration and action of external loads at the outside regions is taken into account. The shape of the punch is considered as an unknown design variable. The minimized integral functional characterizes the discrepancy between the actual contact pressure and the required pressure distribution. The problem is studied under condition that the total forces and moments applied to the punch and the loads acted at the outside regions are given. It is shown that the considered optimization problem can be split and transformed to two successively solved problems. Optimal shapes are found analytically for the punches having rectangular contact domains.
