Journal of Theoretical
and Applied Mechanics

45, 1, pp. 5-14, Warsaw 2007

Asymptotic study of elastic half-plane with embedded punch

Igor V. Andrianov, Jan Awrejcewicz, Yurii A. Kirichek, Steve G. Koblik
A contact problem for an elastic half-plane and an embedded rigid punch is studied. The employed mathematical model describes the behavior of a soil with embedded foundation. The analytical solution governing the stress field behaviour is derived. Singular perturbation and complex analysis techniques are used.
Keywords: mixed boundary value problem; singular asymptotics; complex variable theory