Abstract
In this work, an asymptotic method is suggested for narrow contact regions making it possible to reduce this equation to a set of of two unidimensional integral equations. The of first connects pressure distribution in the transverse direction with the transverse shape of elastic displacement, and the second is an equation relating to the unknown load in the section. An asymptotic approach makes it possible to substantiate the heuristic method for plane sections [i]. Analytical solutions have been obtained for two problems: contact for a die with an elliptical relationship for width; contact for a semiinfinite die with a constant load in each section. In the case of an elliptical die, with a flat base, comparison is carried out for asymptotic and precise [I] results. The method suggested rightly embraces the first term of the expansion for small parameter E (characteristic prolation of the contact) for the precise solution of the problem. i. The problem of pressure for a die of limited dimensions in an elastic half-space is reduced to an integral equation [i] p' (~, N) rl~ dN __ g' (x, g)
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