Scale dependence of tensile strength of concrete specimens: A multifractal approach

Magazine of Concrete Research

Volumn 50, Issue 3, 1998, Pages 237-246

  Carpinteri, A ^a   Chiaia, B ^a   Ferro, G ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

LOADS (FORCES); PARAMETER ESTIMATION; SAMPLING; SIZE DETERMINATION; TENSILE STRENGTH; TENSILE TESTING;

SIZE EFFECT;

CONCRETES;

EID: 0032154734     PISSN: 00249831     EISSN: None     Source Type: Journal    
DOI: 10.1680/macr.1998.50.3.237     Document Type: Article

References (28)

1. GRIFFITH A. A. The phenomena of rupture and flaw in solids. Philosophical Transactions of the Royal Society, London, Series A, 1921, 221, 163-198.
2. CARPINTERI A., CHIAIA B. and FERRO G. Size effects on nominal tensile strength of concrete structures: multifractality of materials ligaments and dimensional transition from order to disorder. Materials and Structures (RILEM), 1995, 28, No. 180, 311-317.
3. CARPINTERI A. Fractal nature of material microstructure and size effects on apparent mechanical properties. Mechanics of Materials, 1994, 18, 89-101.
4. CARPINTERI A. Scaling laws and renormalization groups for strength and thoroughness of disordered materials. International Journal of Solids and Structures, 1994, 31, 291-302.
5. BRITISH STANDARDS INSTITUTION. Method for Determination of Tensile Splitting. BSI, Milton Keynes, 1983, BS 1881, Part 117.
6. AMERICAN SOCIETY FOR TESTING AND MATERIALS. ASTM Philadelphia, C 496.
7. AMERICAN SOCIETY FOR TESTING AND MATERIALS. ASTM Philadelphia, C 78.
8. BRITISH STANDARDS INSTITUTION. Method for Determination of Flexural Strength. BSI, Milton Keynes, 1983, BS 1881: Part 118.
9. MARTI P. Size effect in double-punch tests on concrete cylinders. ACI Material Journal, 1989, 86, 597-601.
10. LOUNG M. P. Fracture resistance testing of concrete and rocks. Proceedings of the 10th International Conference SMIRT, Anaheim, CA, 1989, 15-20.
11. EVANS R. H. and MARATHE M. S. Microcracking and stress-strain curves for concrete in tension. Materials and Structures, 1968, 1, 61-64.
12. REINHARDT H. W., CORNELISSEN A. W. and HORDIJK D. A. Tensile tests and failure analysis of concrete. Journal of Structural Engineering, 1986, 112, 2462-2477.
13. PETERSSON P. E. Crack Growth and Development of Fracture Zones in Plain Concrete and Similar Materials. Division of Building Materials, Lund Institute of Technology, 1981, report TVBM-1006.
14. CARPINTERI A. and FERRO G. Size effect on tensile fracture properties: a unified explanation based on disorder and fractality of concrete microstructure. Materials and Structures, 1994, 27, 563-571.
15. RUSCH H. and HILSDORF H. K. Deformation characteristics of concrete under axial tension. Voruntersuchungen, Bericht 44, Munich, 1963.
16. HUGHES B. P. and CHAPMAN G. P. The complete stress-strain curves for concrete in direct tension. Bulletin RILEM, 1966, 30, 95-97.
17. BAŽANT Z. P. and PFEIFFER P. A. Determination of fracture energy from size effect and brittleness number. ACI Material Journal, 1987, Nov.-Dec., 463-480.
18. NOORU-MOHAMED M. B. and VAN MIER J. G. M. Size effect in mixed mode fracture of concrete. In Fracture Processes in Concrete, Rock and Ceramics. Spon, London, 1991, pp. 461-471.
19. CARPINTERI A., CHIAIA B. and FERRO G. A new explanation for size effects on the flexural strength of concrete. Magazine of Concrete Research, 1997, 49, 45-53.
20. LEVENBERG K. A method for the solution of certain nonlinear problems in least-squares. Quarterly Journal of Applied Mathematics, 1944, 2, 164-168.
21. MARQUARDT D. W. An algorithm for least-squares estimation of non-linear parameters. Journal of Society of Industrial and Applied Mathematics, 1963, 11, 431-441.
22. BAŽANT Z. P. Size effect in blunt fracture: concrete, rock, metal. Journal of Engineering Mechanics, ASCE, 1984, 110, No. 4, 518-535.
23. CARPINTERI A., CHIAIA B. and FERRO G. Multifractal Scaling Law: An Extensive Application to Nominal Strength Size Effect of Concrete Structures. Atti del Dipartimento di Ingegneria Strutturale del Politecnico di Torino, Torino, 1995, No. 51.
24. HASEGAWA T., SHIOYA T. and OKADA T. Size effect on splitting tensile strength of concrete. Proceedings of the JCI, 7th Conference, Tokyo, 1985, 309-312.
25. BAŽANT Z. P., KAZEMI W. T., HASEGAWA T. and HAZARS J. Size effects in Brazilian split-cylinder tests: measurements and fracture analysis. ACI Material Journal, 1991, 88, 325-332.
26. ELIGEHAUSEN R., BOVSKA P., CERVENKA V. and PUKL R. Size effect of the concrete cone failure load of anchor bolts. Fracture Mechanics of Concrete Structures, Proceedings of 1st FRAMCOS, Breckenridge, 1992, 517-525.
27. FERRO G. Effetti di Scala sulla Resistenza a Trazione dei Materiali. PhD Thesis, Politecnico di Torino, 1994.
28. CARPINTERI A. and FERRO G. Scaling behaviour and dual renormalization of experimental tensile softening responses. Materials and Structures, 1998, 31, No. 209, 303-309.