Saint-Venant's principle and the anti-plane elastic wedge

Stephen, N.G. and Wang, P.J. (1996) Saint-Venant's principle and the anti-plane elastic wedge. Journal of Strain Analysis for Engineering Design, 31, (3), 231-234.


PDF - Accepted Manuscript
Download (890Kb)


The stress field due to self-equilibrating loading on the inner or outer radius of a wedge sector, consistent with anti-plane deformation, will be affected by two agencies: a geometric effect of increasing or decreasing area and decay as anticipated by Saint-Venant's principle. When the load is applied to the inner radius the two effects are acting in concert; however, when the load is applied to the outer radius the two effects act in opposition. For a wedge angle in excess of the half-space the geometric effect is dominant over Saint-Venant decay and the stress increases the greater the distance from the loaded outer radius, indicating a breakdown in Saint-Venant's principle. For the wedge angle 2? = 360°, the unique inverse square root stress singularity at the crack tip, which is at the heart of linear elastic fracture mechanics, can be attributed to this breakdown of Saint-Venant's principle for just one eigenmode.

Item Type: Article
ISSNs: 0309-3247 (print)
Related URLs:
Subjects: T Technology > TJ Mechanical engineering and machinery
Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences
ePrint ID: 21090
Accepted Date and Publication Date:
Date Deposited: 31 Oct 2006
Last Modified: 31 Mar 2016 11:39

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics