Saint-Venants principle and the plane elastic wedge

International Journal of Solids and Structures

Volumn 36, Issue 3, 1999, Pages 345-361

  Stephen, N G ^a   Wang, P J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; FRACTURE MECHANICS; GEOMETRY; INVERSE PROBLEMS; LOADS (FORCES); STRESSES; TRACTION (FRICTION);

GEOMETRIC EFFECTS; LINEAR ELASTIC FRACTURE MECHANICS; PLANE ELASTIC WEDGE; SAINT VENANTS PRINCIPLE; STRESS LEVEL;

STRUCTURAL MEMBERS;

EID: 0032713196     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00027-4     Document Type: Article

References (16)

1. Carothers, S.D., 1912. Plane strain in a wedge. Proceeding of the Royal Society of Edinburgh 23, 292-306.
2. Dempsey, J.P., 1981. The wedge subjected to tractions: a paradox resolved. Journal of Elasticity 11, 1-10.
3. Dundurs, J., Markenscoff, X., 1989. The Sternberg-Koiter conclusion and other anomalies of the concentrated couple. Transactions ASME Journal of Applied Mechanics 56, 240-245.
4. Horvay, G., 1957. Saint-Venants principle: a biharmonic eigenvalue problem. Transactions of ASME Journal of Applied Mechanics 24, 381-386.
5. Leguillon, D., 1988. Sur le moment ponctuel appliqué à un secteur: le paradoxe de Sternberg-Koiter. C.R. Acad. Sci. Paris, series II, 307, 1741-1746.
6. Markenscoff, X., 1994. Some remarks on the wedge paradox and Saint-Venants principle. Transactions ASME Journal of Applied Mechanics 61, 519-523.
7. Massonnet, C., 1962. Two-dimensional problems. In Handbook of Engineering Mechanics, chap. 37, ed. W. Flugge. McGraw-Hill.
8. Neuber, H., 1963. Lösung des Carothers-Problems mittels Prinzipien der Kraftübertragung (Keil mit Moment an der Spitze) . Zeitschrift fur Angewandte Mathematik und Mechanik 43, 211-228.
9. Stephen, N.G., Wang, P.J., 1966. Saint-Venants principle and the anti-plane wedge. I. Mech. E. Journal of Strain Analysis for Engineering Design 31, 231-234.
10. Sternberg, E., Koiter, W. T., 1958. The wedge under a concentrated couple: a paradox in the two-dimensional theory of elasticity. Transactions ASME Journal of Applied Mechanics 25, 575-581. See also the discussion on this by various authors in (1959) in Transactions ASME Journal of Applied Mechanics 26, 472-474.
11. Sternberg, E., Koiter, W. T., 1958. The wedge under a concentrated couple: a paradox in the two-dimensional theory of elasticity. Transactions ASME Journal of Applied Mechanics 25, 575-581. See also the discussion on this by various authors in (1959) in Transactions ASME Journal of Applied Mechanics 26, 472-474.
12. Timoshenko, S.P., Goodier, J.N., 1970. Theory of Elasticity, 3rd edn. McGraw-Hill.
13. Ting, T.C.T., 1984. The wedge subjected to tractions: a paradox re-examined. Journal of Elasticity 14, 235-247.
14. Ting, T.C.T., 1985. A paradox on the elastic wedge subjected to a concentrated couple and on the Jeffery-Hamel viscous flow problem. Zeitschrift fur Angewandte Mathematik und Mechanik 65, 188-190.
15. Williams, M., 1957. On the stress distribution at the base of a stationary crack. Transactions ASME Journal of Applied Mechanics 24, 109-114.
16. Not available.