Singularities of an interface crack impinging on a triple grain junction

International Journal of Solids and Structures

Volumn 33, Issue 11, 1996, Pages 1563-1573

  Picu, Catalin R ^a  

^a DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DEFORMATION; ELASTICITY; GRAIN BOUNDARIES; GRAIN SIZE AND SHAPE; STRAIN; STRESS ANALYSIS; STRESS CONCENTRATION;

GRAIN JUNCTIONS;

CRACK PROPAGATION;

EID: 0030150422     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00111-5     Document Type: Article

References (19)

1. Barsoum, R. S. (1988). Theoretical basis of the finite element iterative method for the eigenvalue problem in stationary cracks. Int. J. Numer. Meth. Eng. 26, 531-539.
2. Barsoum, R. S. and Chen, T. K. (1991). Three-dimensional surface singularity of an interface crack. Int. J. Fract. 50, 221-237.
3. Bazant, Z. P. and Estenssoro, L. F. (1979). Surface singularity and crack propagation. Int. J. Sol. Struct. 15, 405-426.
4. Chen, Y. Z. and Hasebe, N. (1993). Singularity eigenvalue analysis of a crack along a wedge-shaped interface. J. Appl. Mech. 60, 781-782.
5. Comninou, M. (1977a). The interface crack. J. Appl. Mech. 44, 631-636.
6. Comninou, M. (1977b). The interface crack in a shear field. J. Appl. Mech. 45, 287-290.
7. Eshelby, J. D., Read, W. T. and Shockley, W. (1953). Anisotropic elasticity with application to dislocation theory. Acta Metall. 1, 251-259.
8. Evans, A. G. (1978). Microfracture from thermal expansion anisotropy - single phase systems. Acta Metall. 26, 1845-1853.
9. Fu, Y. and Evans, A. G. (1985). Some effects of microcracks on the mechanical properties of brittle solids -stress-strain relations. Acta Metall. 33, 1515-1523.
10. He, M. Y. and Hutchinson, J. W. (1989). Crack deflection at an interface between dissimilar elastic materials. Int. J. Sol. Struct. 25, 1053-1067.
11. Lekhnitskii, S. G. (1963). Theory of Elasticity of an Anisotropic Body. Holden-Day, San Francisco.
12. Qu, J. and Bassani, J. L. (1989). Cracks on bimaterial and bicrystal interfaces. J. Mech. Phys. Sol. 37, 417-433.
13. Picu, C. R. and Gupta, V. (1995). Singularities at grain triple junctions in two dimensional polycrystals with cubic and orthotropic grains. J. Appl. Mech. (in press).
14. Simmons, G. and Wang, H. (1985). Single Crystal Elastic Constants and Calculated Aggregate Properties: a Handbook. The MIT Press, Cambridge. Massachusetts.
15. Suo, Z. (1990). Delamination specimens for orthotropic materials. J. Appl. Mech. 57, 627-634.
16. Ting, T. C. T. (1986). Explicit solutions and invariance of the singularities at an interface crack in anisotropic composites. Int. J. Sol. Struct. 22, 965-983.
17. Tvergaard, V. and Hutchinson, J. W. (1988). Microcracking in ceramics induced by thermal expansion or elastic anisotropy. J. Amer. Ceram. Soc. 71, 157-166.
18. Wang, W. C. and Chen, J. T. (1994). Singularities of an arbitrarily inclined semi-infinite crack meeting a bimaterial interface. Eng. Fract. Mech. 49, 671-680.
19. Williams, W. L. (1959). The stress around a fault or crack in dissimilar media. Bull. Seism. Soc. Amer. 49, 199-204.