Mechanics

Task on indentation of smooth punch of an arbitrary form in plane view in hard plastic half-space

I. A. Vlasova

The Dept. of Informatics and Calculus Mathematics, Samara State University, Samara, 443011, Russian Federation

Abstract: In the work the general properties of equations of spatial problem of the theory of ideal plasticity in the condition of Treska plasticity and stressed state that correspond to the ridge of surface of fluctuation are viewed. Singular lines in hard plastic space and solutions in the neighborhood of a singular line that are similar to the expansion in beam series are viewed.
On the basis of the developed theory the boundary problem appearing at indentation of punch with smooth basis in a certain plastic body which in the simplest case is a half-space is solved.

Keywords: indentation of smooth punch, punch of an arbitrary form in plane view, hard plastic half-space, discontinuous solution of spatial tasks, singular lines, singular line, equation of a singular line, singular spaces, boundary problem about punch, punch parabolic in plane view, boundary of punch is a convex line.

UDC: 539.3

Received: 01.05.2013
Revised: 01.05.2013