| Abstract: | The non-axisymmetric contact problem in the theory of elasticity is solved for a smooth concentric annular die on a uniform
elastic half-space when an overload normal to the boundary of the half-space acts outside the die. A Hankel-Fourier integral
transform and triple integral equations are used to reduce the problem to a quasi-regular system of algebraic equations which
is solved by a perturbation method and, in general, by a reduction method. The effect of a lumped force on the integral parameters
of the die is examined. Graphs are shown which characterize the degree to which the parameters of the problem influence the
total force and moment, displacement, and inclination of the die.
Kharkov State Economics University. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 30, pp. 111–117, 1999. |
