Etude numérique et semi-analytique de la nocivité de défauts dans les coques sphériques
DOI:
https://doi.org/10.13052/16%20–%20n°%2012007Keywords:
stress intensity factor, J integral, A16/R6, spherical shells under pressureAbstract
The present study deals with the little well-known problem of the harmfulness of cracks involved in spherical pressure equipments. The stress intensity factor in the linear elastic domain and the J integral in the elastoplastic range are performed using the finite element method and compared to the results provided by the application of the semi-analytical A16 or R6 simplified criteria. Use is made of a polynomial decomposition of the stress field in the vicinity of the crack in order to cover all industrial loadings.
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References
Ainsworth R. A., R6 : assessment of the integrity of structures containing defects, Technical
Report n° R/H/R6 - Revision 3, British Energy Generation Ltd, 1999.
Brighenti R., « Axially-cracked pipes under pulsating internal pressure », International Journal
of Fatigue, vol. 22, p. 559-567, 2000a.
Brighenti R., « Surface cracks in shells under different hoop stress distributions », International
Journal of Pressure Vessels and Piping, vol. 77, n° 9, p. 503-509, 2000b.
CASTEM, Site internet, http ://www-cast3m.cea.fr, 2006.
Chapuliot S., Formulaire de KI pour les tubes avec un défaut de surface semi-elliptique longitudinal
ou circonférentiel, interne ou externe, Rapport de recherche n° R-5900, CEA, 2000.
Drubay B., Marie S., Chapuliot S., Lacire M. H., Michel B., Deschanels H., « A16 : guide for
defect assessment at elevated temperature », International Journal of Pressure Vessels and
Piping, vol. 80, n° 7-8, p. 499-516, 2003.
Joseph P. F., Erdogan F., « A surface crack in shells under mixed-mode loading conditions »,
Journal of Applied Mechanics, vol. 55, p. 795-804, 1988.
Joseph P. F., Erdogan F., « Surface cracks in toroidal shells », Nuclear Engineering and Design,
vol. 158, p. 263-276, 1995.
McGowan J. J., Raymund M., « Stress intensity factor solutions for internal longitudinal semielliptical
surface flaws in a cylinder under arbitrary loadings », American Society for Testing
and Materials, n° 677, p. 365-380, 1979.
Rice J. R., Levy N., « The part-through surface cracks in elastic plates », Journal of Applied
Mechanics, vol. 39, p. 185-194, 1972.
Rice J. R., Rosengren G. F., « A path-independent integral and the approximate analysis of
strain concentration by notches and cracks », Journal of Applied Mechanics, vol. 35, p. 379-
, 1980.
Saffih A., Etude de la nocivité des fissures dans un cylindre comportant une transition d’épaisseur
: comparaison avec un cylindre droit, Thèse de doctorat, Université des Sciences et
Technologies de Lille, Ecole des Mines de Douai, 2003.
Saffih A., Hariri S., « Numerical study of elliptical cracks in cylinders with a thickness transition
», International Journal of Pressure Vessels and Piping, vol. 83, n° 1, p. 35-41, 2006.
Sih G. C., Hagendorf H. C., « On cracks in shells with shear deformation », Mechanics of
Fracture, vol. 3, p. 201-229, 1977.
Wang B., Hu N., « Study of a spherical shell with a surface crack by the line-spring model »,
Engineering Structures, vol. 22, n° 8, p. 1006-1012, 2000.