Probabilistic nonlocal theory for quasibrittle fracture initiation and size effect. II: Application

Journal of Engineering Mechanics

Volumn 126, Issue 2, 2000, Pages 175-185

  Bažant, Zdeněk P ^a   Novák, Drahomír ^b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLE FRACTURE; FRACTURE MECHANICS; WEIBULL THEORY;

EID: 0343963825     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2000)126:2(175)     Document Type: Article

References (22)

1. Bažant, Z. P., and Li, Z. (1995). "Modulus of rupture: Size effect due to fracture initiation in boundary layer." J. Struct. Engrg., ASCE, 121(4), 739-746.
2. Bažant, Z. P., and Novák, D. (2000). "Probabilistic nonlocal theory for quasibrittle fracture initiation and size effect. I: Theory." J. Engrg. Mech., ASCE, 126(2), 166-174.
3. Bažant, Z. P., and Novák, D. (1999). "Energetic-statistical size effect in quasibrittle failure at crack initiation." Rep., Dept. of Civ. Engrg., Northwestern University, Evanston, III. (ACI Mat. J., in press).
4. Bažant, Z. P., and Planas, J. (1998). Fracture and size effect in concrete and other quasibrittle materials. CRC Press, Boca Raton, Fla.
5. Bažant, Z. P., and Xi, Y. (1991). "Statistical size effect in quasi-brittle structures. II: Nonlocal theory." J. Engrg. Mech., ASCE, 117(11), 2623-2640.
6. Koide, H., Akita, H., and Tomon, M. (1998). "Size effect on flexural resistance due to bending span of concrete beams." Proc., 3rd Int. Conf., Fracture Mech. of Concrete Struct., H. Mihashi and K. Rokugo, eds., Aedificatio Publishers, Freiburg, Germany, 2121-2130.
7. Koide, H., Akita, H., and Tomon, M. (1999). "Probability model of flexural resistance on different lengths of concrete beams." Proc., 8th Int. Conf. on Application of Safety and Probability, Balkema, Rotterdam, The Netherlands (in press).
8. Lindner, C. P., and Sprague, I. C. (1956). "Effect of depth of beams upon the modulus of rupture of plain concrete." ASTM Proc., 55, 1062-1083.
9. Nielsen, K. E. C. (1954). "Effects of various factors on the flexural strength of concrete test beams." Mag. of Concrete Res., 15, 105-114.
10. McKay, M. D., Canover, W. J., and Beckman, R. J. (1979). "A comparison of three methods for selecting values in input variables in the analysis of output from a computer code." Technometrics, 21, 239-245.
11. Novák, D., Teplý, B., and Keršner, Z. (1997). "The role of Latin Hypercube Sampling method in reliability engineering." Proc., Int. Conf. on Struct. Safety and Reliability, Balkema, Rotterdam, The Netherlands, 403-409.
12. Petersson, P.-E. (1981). "Crack growth and development of fracture zone in plain concrete and similar materials." Rep. No. TVBM-1006, Div. of Build. Mat., Lund Institute of Technology, Lund, Sweden.
13. Planas, J., Guinea, G. V., and Elices, M. (1995). "Rupture modulus and fracture properties of concrete." Fracture mechanics of concrete structures, Vol. 1, F. H. Wittmann, ed., Aedificatio Publishers, Freiburg, Germany, 95-110.
14. Portland Cement Association (PCA). (1996). "Thickness design for concrete pavements." Bull. ISO10.0IP, 111., Skokie, III.
15. Reagel, F. V., and Willis, G. H. (1931). "The effect of dimensions of test specimens on the flexural strength of concrete." Public Roads, 12, 37-46.
16. Rocco, C. G. (1995). "Influencia del tamano y mecanismos de rotura del ensayo de compresión diametral,́ PhD thesis. Dep. Ciencia de Materiales, Universidad Politecnica de Madrid, ETS de Ingenieros de Caminos, Ciudad Universitaria, 28040 Madrid. Spain ("Size-dependence and fracture mechanisms in the diagonal compression splitting test," in Spanish).
17. Rokugo, K., Uchida, Y., Katoh, H., and Koyanagi. W. (1995). "Fracture mechanics approach to evaluation of flexural strength of concrete." ACI Mat. J., 92(5), 561-566. (selected translation from Japan Concrete Institute).
18. Sabnis, G. M., and Mirza, S. M. (1979). "Size effects in model concrete?" J. Struct. Div., ASCE, 106, 1007-1020.
19. Shinozuka, M. (1972). "Probabilistic modeling of concrete structures." J. Engrg. Mech. Div., ASCE, 98(6), 1433-1451.
20. Walker, S., and Bloem, D. L. (1957). "Studies of flexural strength of concrete. Part 3: Effects of variations in testing procedures." ASTM Proc., 57, 1122-1139.
21. Wright, P. J. F. (1952). "The effect of the method of test on the flexural strength of concrete." Mag. of Concrete Res., 11, 67-76.
22. Zech, B., and Wittmann, F. H. (1977). "A complex study on the reliability assessment of the containment of a PWR. Part II: Probabilistic approach to describe the behavior of materials." Trans., 4th Int. Conf. on Struct. Mech. in Reactor Technol., H. T. A. Jaeger and B. A. Boley, eds., European Communities, Brussels, 1-14.