Analysis on evolution pattern of periodically distributed defects

International Journal of Solids and Structures

Volumn 34, Issue 25, 1997, Pages 3259-3272

  Oguni, Kenji ^b   Hori, Muneo ^a   Ikeda, Kiyohiro ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); MATERIALS SCIENCE;

GROUP THEORY; PATTERN FORMATION; PERIODICALLY DISTRIBUTED DEFECTS;

CRYSTAL DEFECTS;

EID: 0031223891     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00183-7     Document Type: Article

References (20)

1. Archambault, G., Rouleau, A., Daigneault, R. and Flamand, R. (1993). Progressive failure of rock masses by a self similar anastomosing process of rupture at all scales and its scale effect on their shear strength. In Scale Effects in Rock Masses 93 (ed. Pinto da Cunha, A.) A. A. Balkema, Rotterdam.
2. Bui, H. D. (1993). Introduction to Inverse Problems in the Mechanics of Materials, Direction des Études et Recherches D'Électricite, Paris.
3. Dinkevich, S. (1991). Finite symmetric systems and their analysis. International Journal of Solids and Structures 27, 1215-1253.
4. Eshelby, J. D. (1957). The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society, A241, 376-396.
5. Golubitsky, M. and Schaeffer, D. G. (1985). Singularities and Groups in Bifurcation Theory, Vol. 1, Springer, New York.
6. Golubitsky, M., Stewart, I. and Schaeffer, D. G. (1988). Singularities and Groups in Bifurcation Theory, Vol. 2, Springer, New York.
7. Healey, T. J. (1985). Symmetry, bifurcation, and computational methods in nonlinear structural mechanics. Ph.D. thesis, University of Illinois.
8. Hori, M. and Vaikuntan, N. (1996). On bifurcating growth of periodically distributed cracks (to be published).
9. Ikeda, K. and Murota, K. (1991). Bifurcation analysis of symmetric structures using block-diagonalization. Computational Methods in Applied Mechanical Engineering 86, 215-243.
10. Ikeda, K., Murota, K. and Nakano, M. (1994). Echelon modes in uniform materials. International Journal of Solids and Structures 31, 2709-2733.
11. Karihaloo, X. and Nemat-Nasser, S. (1980). Thermally induced crack curving in brittle solids. Proceedings of an International Conference on Analytical and Experimental Fracture Mechanics (ed. Sih, G. C.), Sijthoff and Noordhoff, pp. 265-272.
12. Keer, L. M., Nemat-Nasser, S. and Oranratnachai, A. (1979). Unstable growth of thermally induced interacting cracks in brittle solids: further results. International Journal of Solids and Structures 15, 111-126.
13. Koschmieder, E. L. (1966). On convection of a uniformly heated plane. Beitrage zur Physik der Atmosphäre 39, 1-11.
14. Murota, K. and Ikeda, K. (1991). Computational use of group theory in bifurcation analysis of symmetric structures. SIAM Journal of Science, Statistics and Computers 12, 273-297.
15. Nemat-Nasser, S., Keer, L. M. and Parihar, K. S. (1978). Unstable growth of thermally induced interacting cracks in brittle solids. International Journal of Solids and Structures 14, 409-430.
16. Nemat-Nasser, S. and Hori, M. (1993). Micromechanics: Overall Properties of Heterogeneous Materials, Elsevier, New York.
17. Oguni, K., Hori, M. and Ikeda, K. (1996). Evolution pattern of periodically distributed and interacting defects. Journal of Structural Engineering 32A, 341-347 (in Japanese).
18. Pollard, D. D., Segall, P. and Delaney, P. T. (1982). Formation and interpretation of dilatant echelon cracks. Geological Society of America Bulletin 93, 1291-1303.
19. Sattinger, D. H. (1979). Group Theoretic Methods in Bifurcation Theory, Lecture Notes in Mathematics 762, Springer, Berlin.
20. Taylor, G. I. (1923). The stability of a viscous fluid contained between two rotating cylinders. Philosophical Transactions of the Royal Society 223, 289-343