Abstract
A multi-domain boundary integral equation method, employing an isoparametric quadratic representation of geometries and functions, is developed for the analysis of two-dimensional linear elastic fracture mechanics problems. The multi-domain approach allows the two faces of a crack to be modelled in independent sub-regions of the body, avoiding singularity difficulties and making it possible to analyse crack closure problems with contact stresses over part of the cracked faces. Problems solved include slanted cracked plate mixed mode and crack closure examples, also crack closure situations involving fully reversed bending of an edge cracked strip, both with and without a superimposed tensile loading.
Résumé
Pour analyser les problèmes de mécanique de rupture linéaire et élastique en deux dimensions, on a développé une formulation sur plusieurs domaines de la méthode d'équation intégrale aux limites, en recourant à une représentation quadratique isoparamétrique des géométries et des fonctions.
L'approche multidomaine permet de modéliser les deux faces d'une fissure dans des sous-régions indépendantes, ce qui évite des difficultés de singularité, et rend possible l'analyse des problèmes de fermeture d'une fissure avec des contraintes de contact agissant sur une partie des faces de la fissure.
Les problèmes auxquels on trouve solution sont notamment la plaque fissurée sur un bord et sollicitée suivant un mode mixte, avec aussi fermeture de la fissure, ou des situations de fermeture de fissure où se trouve une bande fissurée sur un de ses bords et soumise à flexion complète réversible, avec ou sans sollicitations de traction
Similar content being viewed by others
References
T.A. Cruse, in The Surface Crack: Physical Problems and Computational Solutions, edited by J.L. Swedlow, ASME (1972) 153–170
T.A. Cruse, Applied Mathematical Modelling 2 (1978) 287–293
C.L. Tan and R.T. Fenner, Proceedings of the Royal Society (London) A369 (1979) 243–260.
C.L. Tan and R.T. Fenner, International Journal of Fracture 16 (1980) 233–245.
M.D. Snyder and T.A. Cruse, International Journal of Fracture 11 (1975) 315–328.
T.A. Cruse and R.B. Wilson, Nuclear Engineering and Design 46 (1978) 223–234.
G.E. Blandford, A.R. Ingraffea and J.A. Liggett, International Journal for Numerical Methods in Engineering 17 (1981) 387–404.
G. Karami, “A Boundary Integral Equation Method for Two-Dimensional Elastic Contact Problems”, Ph.D. Thesis, University of London (1983).
T.A. Cruse, International Journal of Solids and Structures 5 (1969) 1259–1274.
J.C. Lachat and J.O. Watson, International Journal for Numerical Methods in Engineering 10 (1976) 991–1005.
J.C. Lachat and J.O. Watson, Computer Methods in Applied Mechanics and Engineering 10 (1977) 273–289.
J.R. Rice, Transactions of ASME, Journal of Applied Mechanics 35 (1968) 374–386.
R.D. Henshell and K.G. Shaw, International Journal for Numerical Methods in Engineering 9 (1975) 495–507.
R.S. Barsoum, International Journal for Numerical Methods in Engineering 10 (1976) 25–37.
D.M. Tracey, International Journal for Numerical Methods in Engineering 11 (1977) 401–402.
C.F. Shih, H.G.de Lorenzi, and M.D. German, International Journal of Fracture 12 (1976) RCR 647–651.
H. Tada, P.C. Paris, and G.R. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown (1973).
P.C. Paris, and H. Tada, International Journal of Fracture 11 (1975) RCR 1070–1072.
C.G. Gustafson, International Journal of Fracture 12 (1976) RCR 460–462.
B. Gross and J.E. Srawley, “Stress-Intensity Factors for Single Edge Notch Specimens in Bending or Combined Bending and Tension by Boundary Collocation of a Stress Function”, Technical Report, NASA TN D-2603 (1965).
B. Fredriksson, Computers and Structures 6 (1976) 281–290.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Karami, G., Fenner, R.T. Analysis of mixed mode fracture and crack closure using the boundary integral equation method. Int J Fract 30, 13–29 (1986). https://doi.org/10.1007/BF00034576
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00034576