Matched Asymptotic Expansions of Unbalanced Adhesive Joints
Publication: Journal of Engineering Mechanics
Volume 139, Issue 10
Abstract
A matched asymptotic expansion analysis is used to determine the dependence of shear stress boundary layer thickness on adhesive properties in unbalanced single-lap joints. A uniformly accurate expansion of shear stress, in a small and positive dimensionless parameter , is shown to contain a pair of adhesive edge boundary layers and an outer zone where the stress is slowly varying between the two layers. An overlap constraint is also found, and if it can be satisfied for , then there is sufficient overlap and a single boundary layer of width the order of at either adhesive end. The analytic results are presented in a generic format allowing their application and/or extension to similar problems. All results are numerically verified using a finite difference approximation.
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References
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© 2013 American Society of Civil Engineers.
History
Received: Jun 22, 2012
Accepted: Nov 20, 2012
Published online: Nov 22, 2012
Published in print: Oct 1, 2013
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