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Titre du document / Document title

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

Auteur(s) / Author(s)

STEPHEN N. G. (1) ; WANG P. J. (1) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) Mechanical Engineering Department, The University of Southampton, Highfield, Southampton SO17 1BJ, ROYAUME-UNI

Résumé / Abstract

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.

Revue / Journal Title

Journal of strain analysis for engineering design    ISSN  0309-3247   CODEN JSADDZ 

Source / Source

1996, vol. 31, no3, pp. 231-234 (9 ref.)

Langue / Language

Anglais

Editeur / Publisher

Sage, London, ROYAUME-UNI  (1976) (Revue)

Mots-clés anglais / English Keywords

Stress analysis

;

Wedge

;

Saint Venant principle

;

Antiplane strain

;

Singularity

;

Sector structure

;

Numerical method

;

Mots-clés français / French Keywords

Analyse contrainte

;

Coin

;

Principe Saint Venant

;

Déformation antiplane

;

Singularité

;

Structure sectorielle

;

Méthode numérique

;

Mots-clés espagnols / Spanish Keywords

Análisis tensión

;

Esquina

;

Principio Saint Venant

;

Deformación antiplano

;

Singularidad

;

Estructura sectorial

;

Método numérico

;

Localisation / Location

INIST-CNRS, Cote INIST : 13277, 35400004329232.0070

Nº notice refdoc (ud4) : 3068953



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