Plane non-stationary problem about interaction of the firm indenter with imperfections and elastic half-space
Mathematics. Physics. Mechanics
Аuthors
1*, 2**1. Central Aerohydrodynamic Institute named after N.E. Zhukovsky (TsAGI), Zhukovsky, Moscow region, Russia
2. Institute of Mechanics Lomonosov Moscow State University, 1, Michurinsky prospect, Moscow, 119192, Russia
*e-mail: medvedskyal@nrczh.ru
**e-mail: tdvhome@mail.ru
Abstract
In work any stage of interaction of absolutely firm indenter and elastic isotropic homogeneous half-space within the limits of a plane problem of the theory of elasticity is considered. The non-stationary contact problem is shown to system of the functional equations (SFE), containing multiple singular integrated equation of type of Voltaire of I kind which kernel are superficial functions of influence for an elastic half-plane. For decision SFE the method of grids for existential area of contact [1, 2], modified for multicoherent areas of contact and spline-parameterizations directing the drummer is used. Examples of the decision of contact problems for the elliptic indenter with initial imperfections are resulted. The considered approach is used in problems of dynamics of a landing of lowered space vehicles on rocky.Keywords:
non-stationary contact problems; an elastic half-plane; absolutely firm body; multicoherent area of contact; existential area of contact; the elliptic indenter; the B-spline; contact stressDownload