Specimen boundary induced size effect on quasi-brittle fracture

Strength, Fracture and Complexity

Volumn 2, Issue 2, 2004, Pages 47-68

  Duan, Kai ^a   Hu, Xiaozhi ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Boundary effect; Fracture process zone; Fracture toughness; Size effect; Tensile strength

Indexed keywords

CRACKS; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; PARAMETER ESTIMATION; PLATES (STRUCTURAL COMPONENTS); SURFACE TREATMENT; TENSILE STRENGTH;

BOUNDARY EFFECTS; FRACTURE PROCESS ZONE; SIZE EFFECTS; SPECIMEN BOUNDARY;

BRITTLE FRACTURE;

EID: 14844366633     PISSN: 15672069     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. B.L. Karihaloo, H.M. Abdalla and Q.Z. Xiao, Size effect in concrete beams, Engng. Fract. Mech. 70 (2003), 979-993.
2. Z.P. Bazant and Q. Yu, Size effect in fracture of concrete specimens and structures: new problems and progress, in: Fracture Mechanics of Concrete Structures (Proc. FraMCoS-5, Vail, Colorado, USA, April 12-16, 2004), V.C. Li, C.K.Y. Leung, K.J. Willam and S.L. Billington, eds, Vol. 1, Ia-FraMCoS, 2004, pp. 153-162.
3. Z.P. Bazant, Size effect in blunt fracture: concrete, rock, metal, J. Engng. Mech. ASCE 110 (1984), 518-535.
4. B.L. Karihaloo, Size effect in shallow and deep notched quasi-brittle structures, Int. J. Fract. 95 (1999), 379-390.
5. A. Carpinteri, Fractal nature of material microstructure and size effects on apparent mechanical properties, Mech. Mater. 18 (1994), 89-101.
6. Z.P. Bazant, Scaling of quasi-brittle fracture: asymptotic analysis, Int. J. Fract. 83 (1997), 19-40.
7. X.Z. Hu, Size effects in toughness induced by crack close to free edge, in: Fracture Mechanics of Concrete Structures (Proc. FraMCoS-3, Gifu, Japan, October 12-16, 1998), H. Mihashi and K. Rokugo, eds, Vol. 3, AEDIFICATIO Publishers, Freiburg, Germany, 1998, pp. 2011-2020.
8. X.Z. Hu and F.H. Wittmann, Size effect on toughness induced by crack close to free surface, Engng. Fract. Mech. 65 (2000), 209-211.
9. X.Z. Hu, An asymptotic approach to size effect on fracture toughness and fracture energy of composites, Engng. Fract. Mech. 69 (2002), 555-564.
10. ASTM E399-90, Standard test method for plain-strain fracture toughness of metallic materials, American Society for Testing and Materials, Philadelphia, 1990.
11. H. Tada, P.C. Paris and G.R. Irwin, Stress Analysis of Cracks Handbook, 3rd edn, ASME Press, New York, 2000.
12. X.Z. Hu, B. Cotterell and Y.W. Mai, A statistical theory of fracture in a two-phase brittle material, Proc. R. Soc. Lond. A 401 (1985), 251-265.
13. X.Z. Hu, Y.W. Mai and B. Cotterell, A statistical theory of time-dependent fracture for brittle materials, Philos. Mag. 58 (1988), 299-324.
14. K. Duan, Y.W. Mai and B. Cotterell, R-curve effect on strength and reliability of toughened ceramic materials, J. Mater. Sci. 30 (1995), 1405-1408.
15. X.Z. Hu, Y.W. Mai and B. Cotterell, Tensile strength of short-fibre-reinforced brittle materials with pre-existing defects, Philos. Mag. A 64 (1992), 1265-1279.
16. D.D. Higgins and J.E. Bailey, Fracture measurements on cement paste, J. Mater. Sci. 11 (1976), 1995-2003.
17. B.L. Karihaloo, Q.Z. Xiao and H.M. Abdalla, Strength size effect in quasi-brittle structures, in: Fracture Mechanics of Concrete Structures (Proc. FraMCoS-5, Vail, Colorado, USA, April 12-16, 2004), V.C. Li, C.K.Y. Leung, K.J. Willam and S.L. Billington, eds, Vol. 1, Ia-FraMCoS, 2004, pp. 163-171.
18. Z.P. Bazant and E.P. Chen, Scaling of structural failure, Appl. Mech. Rev. 50 (1997), 593-627.
19. A. Hillerborg, M. Modeer and P.E. Petersson, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cent. Conor. Res. 6 (1976), 773-782.
20. V.C. Li and E. Liang, Fracture processes in concrete and fiber reinforced cementitious composites, J. Eng. Mech. ASCE 12(6) (1986), 566-586.
21. K. Duan and X.Z. Hu, Asymptotic analysis of boundary effects on fracture properties of notched bending specimens of concrete, in: Structural Integrity and Fracture (Proc. Inter. Conf. on Structural Integrity and Fracture, Perth, Australia, 25-28 September 2002, SIF 2002), A.V. Dyskin, X.Z. Hu and E. Sahouryeh, eds, A.A.Balkema Publishers, Lisse, The Netherlands, 2002, pp. 19-24.
22. K. Duan and X.Z. Hu, Asymptotic analysis of boundary-effect on strength of concrete, in: Fracture Mechanics of Concrete Structures (Proc. FraMCoS-5, Vail, Colorado, USA, April 12-16, 2004), V.C. Li, C.K.Y. Leung, K.J. Willam and S.L. Billington, eds, Vol. 1, Ia-FraMCoS, 2004, pp. 197-204.
23. K. Duan, X.Z. Hu and F.H. Wittmann, Asymptotic analysis of boundary effects on fracture properties of quasi-brittle materials, Mech. Mater. (in press).
24. J.G.M. Van Mier, Reality behind fictitious cracks?, in: Fracture Mechanics of Concrete Structures (Proc. FraMCoS-5, Vail, Colorado, USA, April 12-16, 2004), V.C. Li, C.K.Y. Leung, K.J. Willam and S.L. Billington, eds, Vol. 1, Ia-FraMCoS, 2004, pp. 11-30.