References
Sharpe WN (2008) Springer handbook of experimental solid mechanics. Springer, Boston, MA
Hillerborg A, Modéer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6(6):773–781
Hillerborg A (1985) The theoretical basis of a method to determine the fracture energy G F of concrete. Mater Struct 18(4):291–296
Bazant ZP, Kazemi MT (1990) Determination of fracture energy, process zone length and brittleness number from size effect, with application to rock and concrete. Int J Fract 44(2):111–131
Jirásek M (1998) Nonlocal models for damage and fracture: comparison of approaches. Int J Solids Struct 35(31–32):4133–4145
Bažant ZP, Planas J (2019) Fracture and size effect in concrete and other quasibrittle materials. Routledge, London
Saouma VE, Natekar D, Hansen E (2003) Cohesive stresses and size effects in elasto-plastic and quasi-brittle materials. Int J Fract 119(3):287–298
Shah SP (1990) Determination of fracture parameters (K Ic s and CTODc) of plain concrete using three-point bend tests. Mater Struct 23(6):457–460
Shah SP (1990) Size-effect method for determining fracture energy and process zone size of concrete. Mater Struct 23(6):461–465
Mihashi H, Takahashi H, Wittmann FH (eds) (1989) Fracture toughness & fracture energy test methods for concrete and rock, CRC Press, Boca Raton, 640 pp
Planas J, Guinea GV, Elices M (1999) Size effect and inverse analysis in concrete fracture. Int J Fract 95(1–4):367–378
Santhikumar S, Karihaloo BL (1996) Time-dependent tension softening. Mech Cohes Friction Mater 1(3):295–304
Karihaloo BL (1996) Fracture mechanics and structural concrete. Int J Fract 77(1):R19–R19
van Mier JG, van Vliet MR, Wang TK (2002) Fracture mechanisms in particle composites: statistical aspects in lattice type analysis. Mech Mater 34(11):705–724
Carpinteri A, Chiaia B, Cornetti P (2001) A scale-invariant cohesive crack model for quasi-brittle materials. Eng Fract Mech 69(2):207–217
Burtscher S et al (2004) RILEM TC QFS ‘quasi-brittle fracture scaling and size effect’-final report. Mater Struct 37(8):547–568
Author information
Authors and Affiliations
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This commentary is part of our celebration of 75 years of RILEM, highlighting Materials and Structures most highly influential and cited publications.
Highlighted paper: Hillerborg, A. The theoretical basis of a method to determine the fracture energy GF of concrete. 1985 Materials and Structures. 18(4), pp. 291–296.
Affiliated paper: RILEM TC FMC-50 Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams. 1985 Materials and Structures. 18 (4), pp. 287–290.
Rights and permissions
About this article
Cite this article
Mobasher, B. M&S Highlight: Hillerborg (1985), The theoretical basis of a method to determine the fracture energy GF of concrete. Mater Struct 55, 56 (2022). https://doi.org/10.1617/s11527-021-01859-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1617/s11527-021-01859-8