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.


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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 2α = 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
Date Deposited: 31 Oct 2006
Last Modified: 27 Mar 2014 18:10
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