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

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

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.

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Veröffentlicht in:Izvestiâ Saratovskogo universiteta. Novaâ seriâ. Seriâ Matematika. Mehanika. Informatika (Online) 2024-03, Vol.24 (1), p.57-62
Hauptverfasser: Kaplunov, J. D., Zupancic, B., Nikonov, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic methods
asymptotic solution
axisymmetric problem
compression problem
flat boundary layer
mixed boundary conditions
stress-strain state
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Zusammenfassung: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.
ISSN:1816-9791
2541-9005
DOI:10.18500/1816-9791-2024-24-1-57-62