The work described in this paper is concerned with providing a rational asymptotic analysis for the partial wrinkling bifurcation of a thin elastic hemispherical segment in which the upper rim experiences in-plane circular shearing relative to the other circular edge. The mathematical structure of the associated complex-valued boundary eigenvalue problem is revealed by using the method of matched asymptotic expansions. Our key result is a three-term asymptotic formula for the critical load in terms of a suitable small parameter proportional to the ratio between the thickness and the radius of the shell. Comparisons of this formula with direct numerical simulations provide further insight into the range of validity of the results derived herein.

Item Type:	Refereed Article
Keywords:	Partial wrinkling · Boundary layers · DMV thin-shell theory · Matched asymptotics
Research Division:	Mathematical Sciences
Research Group:	Applied mathematics
Research Field:	Theoretical and applied mechanics
Objective Division:	Expanding Knowledge
Objective Group:	Expanding knowledge
Objective Field:	Expanding knowledge in the mathematical sciences
UTAS Author:	Bassom, AP (Professor Andrew Bassom)
ID Code:	154911
Year Published:	2022
Web of Science® Times Cited:	1
Deposited By:	Mathematics
Deposited On:	2023-01-18
Last Modified:	2023-02-08
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