J. D. Kaplunov, B. Zupančič, A. V. Nikonov, “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”, Izv. Saratov Univ. Math. Mech. Inform., 2024, Volume 24, Issue 1,Pages <nobr>57

Scientific Part
Mechanics

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

J. D. Kaplunov^a, B. Zupančič^b, A. V. Nikonov^c

^a Keele University, Keele, Staffordshire ST5 5BG, UK
^b National Institute of Chemistry, 19 Hajdrihova, Ljubljana 1000, Slovenia
^c University of Ljubljana, 12 Kongresni trg, Ljubljana 1000, Slovenia

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.

Key words: asymptotic methods, asymptotic solution, axisymmetric problem, compression problem, mixed boundary conditions, stress-strain state, flat boundary layer.

UDC: 539.3

Received: 05.12.2023
Accepted: 28.12.2023

DOI: 10.18500/1816-9791-2024-24-1-57-62