Energetic probabilistic size effect, its asymptotic properties and numerical applications

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Volumn , Issue , 2000, Pages

  Bažant, Zdeněk P ^a   Nováky, Drahomír ^a,b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

Author keywords

Composites; Concrete; Dammage; Fracture; Probabilistic theory; Scaling; Size effect; Statistical theory

Indexed keywords

ASYMPTOTIC ANALYSIS; COMPOSITE MATERIALS; COMPUTATION THEORY; COMPUTATIONAL METHODS; CONCRETES; FINITE ELEMENT METHOD; ICE; OUTAGES; SAFETY ENGINEERING; STOCHASTIC SYSTEMS;

DAMMAGE; PROBABILISTIC THEORY; SCALING; SIZE EFFECTS; STATISTICAL THEORY;

FRACTURE;

EID: 85069351571     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (27)

1. Bazant, Z.P. (1984). Size eect in blunt fracture: Concrete, rock, metal.ASCE J. of Engrg. Mech., 110, 518-535.
2. Bazant, Z.P. (1999). Sizeeect on structural strength: A review. Archives of Applied Me- chanics (Ingenieur-Archiv, Springer Verlag) 69, 703-725.
3. Bazant, Z.P., and Chen, E.-P. (1997). Scaling of structural failure. Applied Mechanics Re- views ASME 50 (10), 593-627.
4. Bazant, Z.P., and Planas, J. (1998). Fracture and size eect in concrete and other quasibrittle materials, CRC Press, Boca Raton, Florida, and London (chapter 12).
5. Bazant, Z.P., and Xi, Y (1991). Statistical size eect in quasi-brittle structures: II. Nonlocal theory. ASCE J. of Engrg. Mech., 117(11), 2623-2640.
6. Bazant, Z.P., Kim, J.-J.H. Kim, Daniel, I.M., Becq-Giraudon, E., and Zi, Goangseup (1999). Size eect on compression strength of ber composites failing by kink band propagation. Int. J. of Fracture 95, 103-141 (special issue on Fracture Scaling, Z.P. Bazant and Y.D.S. Rajapakse, eds.).
7. Bazant, Z.P. (1997a). Scaling of quasibrittle fracture: Asymptotic analysis and Hypothe- ses of invasive and lacunar fractality, their critique and Weibull connection. Int. J. of Fracture, 83(1), 19-40 and 41-65.
8. Breysse, D. (1990). Probabilistic formulation of damage evolution law of cementitious com- posites. J. of Engrg. Mechanics ASCE, 116(7), 1389-1410.
9. Breysse, D., and Fokwa, D. (1992). Inuence of disorder of the fracture process of mortar. Fracture Mechanics of Concrete Structures (Proc., 1st Int. Conf. held in Breckenridge, Colorado), ed. Z.P. Bazant, publ. by Elsevier, London, 536-541.
10. Breysse, D., Fokwa, D., and Drahy, F. (1994). Spatial variability in concrete: nature, struc- Ture, and consequences. Applied Mechanics Reviews ASME, 47(1), 184-196.
11. Breysse, D., and Renaudin, P. (1996). On the inuence of local disorder on sizeeect., Size-Scale Eects in the Failure Mechanisms of Materials and Structures (Proc., IUTAM Symp. held in 1994 at Politecnico di Torino), ed. A. Carpinteri, E & FN Spon, London, 187-199.
12. Lindner, C.P. and Sprague, I.C. (1956). Eect of depth of beams upon the modulus of rupture of plain concrete. ASTM Proc., 55, 1062-1083.
13. Nielsen, K.E.C. (1954). Eect of various factors on the exural strength of concrete test beams. Mag. Concrete Res., 15, 105-114.
14. Hillerborg, A., Modeer, M., and Petersson, P.-E. (1976). Analysis of crack formation and crack growth in concrete by means of fracture mechanics and nite elements. Cement and Concrete Res., 6(6), 773-782.
15. Petersson, P.-E. (1981). Crack Growth and Development of Fracture Zone in Plain Concrete and Similar Materials. Report No. TVBM-1006, Division of Building Materials, Lund Institute of Technology, Lund, Sweden.
16. Planas, J., Guinea, G.V. and Elices, M. (1995). Rupture modulus and fracture properties of concrete. In Fracture Mechanics of Concrete Structures, Vol. 1, F.H. Wittmann, ed., Aedicatio Publishers, Freiburg, Germany, 95-110.
17. Reagel, F.V. and Willis, G.H. (1931). The eect of dimensions of test specimens on the exural strenght of concrete. Public Roads, 12, 37-46.
18. Roelfstra, P.E., Sadouki, H., and Wittmann, F.H. (1985). Le beton numerique. Materials and Structures, 18, 327-335.
19. Rocco, C. G. (1995). Inuencia del Tamano y Mecanismos de Rotura del Ensayo de Com- presion Diametral. Doctoral 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.).
20. Rocco, C. G. (1997). Private communication by Jaime Planas on unpublished tests of size eect on modulus of rupture of concrete at Technical University, Madrid.
21. Rokugo, K., Uchida, Y., Katoh, H., and Koyanagi, W. (1995). Fracture mechanics approach to evaluation of exural strength of concrete. ACI Materials Journal (Selected translation from Japan Concrete Institute), 92(5), 561-566.
22. Sabnis, G.M. and Mirza, S.M. (1979). Size eects in model concretes? J. of Struct. Div. - ASCE, 106, 1007-1020.
23. Shinozuka, M. (1972). Probabilistic modeling of concrete structures. ASCE J. of Engrg. Mech. Division, 98 (EM6), 1433-1451.
24. Walker, S. and Bloem, D.L. (1957). Studies of exural strength of concrete-Part 3: Eects of variations in testing procedures. ASTM Proc. 57, 1122-1139.
25. Weibull W (1939). The phenomenon of rupture in solids. Proc., Royal Swedish Institute of Engineering Research (Ingenioersvetenskaps Akad. Handl.) 153, Stockholm, 1-55.
26. Wright, P.J.F. (1952). The eect of the method of test on the exural strength of concrete. Mag. Concrete Res., 11, 67-76.
27. 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 mate- rials. Trans., 4th Int. Conf. on Structural Mechanics in Reactor Technology (held in San Francisco), H.T.A. Jaeger and B.A. Boley, eds., European Communities, Brussels, Vol. J, 1-11.