Analysis on interaction of numerous microcracks

Computational Materials Science

Volumn 28, Issue 3-4 SPEC. ISS., 2003, Pages 454-461

  Feng, Xi Qiao ^a   Li, Jia Yin ^a   Ma, Lin ^a   Yu, Shou Wen ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Damage; Effective elastic moduli; Heterogeneous media; Microcrack interaction; Numerical methods; Stress intensity factor

Indexed keywords

CERAMIC MATERIALS; COMPOSITE MICROMECHANICS; DEFORMATION; ELASTIC MODULI; MATERIALS SCIENCE; NUMERICAL METHODS; STRESS ANALYSIS;

FAR-FIELD STRESS;

MICROCRACKS;

EID: 0142186004     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2003.06.001     Document Type: Conference Paper

References (17)

1. Horii H., Nemat-Nasser S. Interacting microcracks near the tip in the process zone of a macro-crack. J. Mech. Phys. Solids. 35:1987;601-629.
2. Gong S.X., Horii H. General solutions to the problems of microcracks near the tip of a main crack. J. Mech. Phys. Solids. 37:1989;27-46.
3. Chudnovsky A., Dolgopolsky A., Kachanov M. Elastic interaction of a crack with a microcrack array, Part I and II. Int. J. Solids Struct. 23:1987;1-21.
4. Kachanov M. Elastic solids with many cracks and related problems. Adv. Appl. Mech. 30:1993;259-445.
5. Petrova V., Tamuzs V., Romalis N. A survey of macro-microcrack interaction problems. Appl. Mech. Rev. 53:2000;117-146.
6. Feng X.Q., Yu S.W. Damage Micromechanics of Quasi-Brittle Solids. 2002;Higher Education Press, Beijing. p. 178-194.
7. Mura T. Micromechanics of Defects in Solids. 1987;Martinus Nijhoff Publishers, The Netherlands.
8. Walpole L.J. On the overall elastic moduli of composite materials. J. Mech. Phys. Solids. 17:1969;235-251.
9. Feng X.Q., Li J.Y., Yu S.W. A simple method for calculating interaction of numerous microcracks and its applications. Int. J. Solids Struct. 40:2003;447-464.
10. Feng X.Q., Yu S.W. Estimate of effective elastic moduli with microcrack interaction effects. Theor. Appl. Fract. Mech. 34:2000;225-233.
11. Budiansky B., O'Connell R.J. Elastic moduli of a cracked solid. Int. J. Solids Struct. 12:1976;81-97.
12. Huang Y., Hu K.X., Chandra A. A generalized self-consistent mechanics method for microcracked solids. J. Mech. Phys. Solids. 42:1994;1273-1291.
13. Zheng Q.S., Du D.X. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution. J. Mech. Phys. Solids. 49:2001;2765-2788.
14. Feng X.Q. On estimation methods for effective moduli of microcracked solids. Arch. Appl. Mech. 71:2001;537-548.
15. Seelig T., Rafiee S., Gross D. A simple method for the investigation of elastic bodies of finite size containing many cracks. Int. J. Eng. Sci. 38:2000;1459-1472.
16. Shen L.X., Yi S. An effective inclusion model for effective moduli of heterogeneous materials with ellipsoidal inhomogeneities. Int. J. Solids Struct. 38:2001;5789-5805.
17. L.X. Shen, J. Li, Effective elastic moduli of plates with various distributions and sizes of cracks, Int. J. Solids Struct. (in press).