Asymptotic analysis of the axisymmetric problem for the transverse compression of a thin elastic disk in the case of mixed boundary conditions along its faces

Abstract

The axisymmetric problem for the transverse compression of a thin elastic disk is considered in slip absence.  An asymptotic solution for the interior stress-strain state is constructed. An approach to determining a plane boundary layer localized near the outer contour of the disk is outlined.

Keywords

• asymptotic methods
• asymptotic solution
• axisymmetric problem
• compression problem
• mixed boundary conditions
• stress-strain state
• flat boundary layer