A variational boundary integral method for the analysis of three-Dimensional cracks of arbitrary geometry in anisotropicelastic solids

Journal of Applied Mechanics, Transactions ASME

Volumn 67, Issue 2, 2000, Pages 403-408

  Xu, G ^a  

^a University of California Riverside   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; DISLOCATIONS (CRYSTALS); ELASTIC MODULI; ELASTICITY; GEOMETRY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; SOLIDS; STRESS INTENSITY FACTORS; VARIATIONAL TECHNIQUES;

ANISOTROPIC ELASTIC SOLIDS; ARBITRARY GEOMETRY; CRACK OPENING DISPLACEMENTS; INTERACTION ENERGY; VARIATIONAL BOUNDARY INTEGRAL METHOD;

CRACKS;

EID: 0034205083     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1305276     Document Type: Article

References (19)

1. Xu, G., Argon, A. S., and Ortiz, M., 1997, “Critical Configurations for Dislocation From Crack Tips,” Philos. Mag. A, 75, p. 341.
2. Fares, N., 1989, “Crack Fronts Trapped by Arrays of Obstacles: Numerical Solutions Based on Surface Integral Representation,” ASME J. Appl. Mech., 56, p. 837.
3. Gao, H., and Rice, J. R., 1989, “A First Order Perturbation Analysis on Crack-Trapping by Arrays of Obstacles,” ASME J. Appl. Mech., 56, p. 828.
4. Bower, A. F., and Ortiz, M., 1991, “A Three-Dimensional Analysis of Crack Trapping and Bridging by Tough Particles,” J. Mech. Phys. Solids, 39, No. 6, p. 815.
5. Clifton, R. J., 1989, “Three-Dimensional Fracture-Propagation Models,” J. L. Gidley, ed., Hydraulic Fracturing, SPE Monograph.
6. Rice, J. R., 1993, “Spatio-Temporal Complexity of Slip on a Fault,” J. Geo-phys. Res., 98, pp. 9885-9907.
7. Ben-Zion, Y., and Rice, J. R., 1995, “Slip Patterns and Earthquake Populations Along Different Classes of Faults in Elastic Solids,” J. Geophys. Res., 100, p. 12959.
8. Bui, H. D., 1977, “An Integral Equation Method for Solving the Problem of a Plane Crack of Arbitrary Shape,” J. Mech. Phys. Solids, 25, p. 29.
9. Weaver, J., 1977, “Three-Dimensional Crack Analysis,” Int. J. Solids Struct., 13, p. 321.
10. Cruse, T. A., 1988, Boundary Element Analysis in Computational Fracture Mechanics, Kluwer, Dordrecht, The Netherlands.
11. Sladek, V., and Sladek, J., 1983, “Three-Dimensional Curved Crack in an Elastic Body,” Int. J. Solids Struct., 19, No. 5, p. 425.
12. Murakami, Y., and Nemat-Nasser, S., 1983, “Growth and Stability of Interacting Surface Flaws of Arbitrary Shape,” Eng. Fract. Mech., 17, No. 3, p. 193.
13. Xu, G., and Ortiz, M., 1993, “A Variational Boundary Integral Method for the Analysis of 3-D Cracks of Arbitrary Geometry Modeled as Continuous Distributions of Dislocation Loops,” Int. J. Numer. Methods Eng., 36, p. 3675.
14. Lothe, J., 1982, “Dislocations in Anisotropic Media: The Interaction Energy,” Philos. Mag. A, 46, p. 177.
15. Billy, B. A., and Eshelby, J. D., 1968, Fracture: AnAdvanced Treatise, Vol. 1, H. Liebowitz, ed., Academic Press, San Diego, CA.
16. Barnett, D. M., and Asaro, R. J., 1972, “The Fracture Mechanics of Slit-Like Cracks in Anisotropic Elastic Media,” J. Mech. Phys. Solids, 20, p. 353.
17. Xu, G., Argon, A. S., and Ortiz, M., 1995, “Nucleation of Dislocations From Crack Tips Under Mixed Modes of Loading: Implications for Brittle Against Ductile Behaviour of Crystals,” Philos. Mag. A, 72, p. 415.
18. Kassir, M. K., and Sih, G. C., 1975, Mechanics of Fracture: ThreeDimensional Crack Problems, Noordhoff, Groningen.
19. Hirth, J. P., and Lothe, J., 1982, Theory of Dislocations, 2nd Ed., John Wiley and Sons, New York.