Application of differential scheme to the Mori-Tanaka theorem for macroscopic stiffness analysis of aligned elliptic cracked-solids

Theoretical and Applied Mechanics Japan

Volumn 52, Issue , 2003, Pages 3-18

  Minami, Aki ^a   Araki, Shigetoshi ^b   Iwamoto, Masaharu ^b  

^a JAPAN DEFENSE AGENCY   (Japan)

^b KYOTO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALIGNED ELLIPTIC CRACKED-SOLIDS; DIFFERENTIAL SCHEME; MACROSCOPIC STIFFNESS; MORI-TANAKA THEOREM; PENNY-SHAPED CRACKED SOLIDS;

CRACKS; DIFFERENTIAL EQUATIONS; ELASTIC MODULI; PARAMETER ESTIMATION; PROBLEM SOLVING; THEOREM PROVING; VOLUME FRACTION;

SOLIDS;

EID: 4344710429     PISSN: 13480693     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (11)

1. Mori, T., and Tanaka, K., "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metallurgica, Vol.21(1973), pp.571-574.
2. Budiansky, B., and O'Connel, R.J., "Elastic moduli of a cracked solid", Int. J. Solids Struc., 12(1976), pp.81-97.
3. Hashin, Z., "The differential scheme and its application to cracked materials", J. Mech. Phys. Solids, 36(1988), pp.719-734.
4. Benveniste, Y., "A new approach to the application of Mori-Tanaka's theory in composite materials", Mech. Mater., 6(1987), pp.147-157.
5. Taya, M., "Stiffness and strength of an aligned short-fiber reinforced composite", J. Composite Materials, 15(1981), pp.199-210.
6. Saito, K., Iwamoto, M., Araki, S., and Yano, T., "Micromechanical Analysis of Fiber-Reinforced Composites with Interfacial Phenomena", Tras. JSME-A, 58-548(1992), pp.614-620. (in Japanese)
7. Huang, Y., Chandra, A., Jiang, Z.Q., Wei, X., and Hu, K.X., "The numerical calculation of two-dimmensional effective moduli for microcracked solids", Int. J. Solids Struc., 33(1996), pp.1575-1586.
8. Hoenig, A., "Elastic moduli of a non-randomly cracked body", Int. J. Solids Struc., 15(1979), pp.137-154.
9. T. Mura : Micromechanics of Defects in Solids, Second Revised Edition (KLUWER ACADEMIC PUBLISHERS, 1987), p.240-248.
10. p.74-89. in the refference 9).
11. Tanaka, K., and Mori, T., "Note on volume integrals of the elastic field around an ellipsoidal inclusion", J. Elasticity, 2(1972), pp.199-200.