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).
- Post print
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.
|Subjects:||T Technology > TJ Mechanical engineering and machinery
Q Science > QC Physics
|Divisions:||University Structure - Pre August 2011 > School of Engineering Sciences
|Date Deposited:||09 Nov 2006|
|Last Modified:||28 Jun 2012 09:50|
|Contributors:||Stephen, N.G. (Author)
Wang, P.J. (Author)
|Contact Email Address:||email@example.com|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Actions (login required)