Saint-Venant's principle and the plane elastic wedge


Stephen, N.G. and Wang, P.J. (1999) Saint-Venant's principle and the plane elastic wedge. International Journal of Solids and Structures, 36, (3), 345-361. (doi:10.1016/S0020-7683(98)00027-4).

Download

[img]
Preview
PDF - Post print
Download (1735Kb)

Description/Abstract

The stress field due to self-equilibrating loading on the inner or outer arc of a plane strain elastic wedge sector is affected by two agencies: a geometric effect of increasing or decreasing area, and decay as anticipated by Saint-Venants principle (SVP) . When the load is applied to the inner arc the two effects act in concert ; however, when the load is applied to the outer arc the two effects act in opposition and for a wedge angle in excess of the half-space, 2α > π, for the symmetric case, and for 2α > 1.43π for the asymmetric case, the geometric effect is dominant over Saint-Venant decay and stress level increases as one moves away from the outer arc, confirming the inapplicability of SVP. This is additional to previously reported difficulties at these angle when a self-equilibrated load on the inner arc decays at the same rate as does a concentrated moment, and is explained in terms of the interaction of a near-field geometric effect and a far-field stress interference effect at a traction-free edge. For wedge angle 2α = 2π the unique Modes I and II inverse square root stress singularities at the crack tip, which are at the heart of Linear Elastic Fracture Mechanics (LEFM) , can be attributed to this inapplicability for just one symmetric and one asymmetric eigenmode.

Item Type: Article
ISSNs: 0020-7683 (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: 21203
Date Deposited: 09 Nov 2006
Last Modified: 27 Mar 2014 18:10
URI: http://eprints.soton.ac.uk/id/eprint/21203

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