Non-stationary contact non deformable indenter with imperfections and elastic half-plane on a supersonic stage of introduction

Аuthors

Medvedskiy A. L.¹, Tarlakovsky D. V.^2*

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Institute of Mechanics Lomonosov Moscow State University, 1, Michurinsky prospect, Moscow, 119192, Russia

*e-mail: tdvhome@mail.ru

Abstract

In work the supersonic stage of interoperability absolutely rigid indenter and elastic isotropic homogeneous half-plane within the plane deformation of the theory of elasticity in conditions of rigid coupling contacting surfaces is considered. The problem of dynamics indenter is shown to initial problem Cauchy for system quasi linear the differential equations. Results of the solution to the problem about introduction in elastic half space indenter, having initial imperfections, and as consequence multiply area of contact are resulted.

Keywords:

nonstationary contact problems, elastic half-plane, rigid body, multiply the area of contact, the Cauchy problem, elliptic indenter, B-spline, kinematic parameters.