Reinterpretation of Karihaloo's size effect analysis for notched quasibrittle structures

Karihaloo recently published an analytical study of the size effect in concrete based on large-size asymptotic approximations of the cohesive crack model. From this analysis, he concluded that the nominal strength can be determined only for sizes above a certain lower bound, large enough to invalidate, at least for concrete, all the existing experimental methods based on size effect measurements, such as the size effect method of Bažant or the general bilinear fit method of Planas, Guinea and Elices. The purpose of this paper is to show that this conclusion is misleading, and to explain why.

[1]  Surendra P. Shah,et al.  Size-effect method for determining fracture energy and process zone size of concrete , 1990 .

[2]  E. Smith The elastically equivalent softening zone size for an elastic-softening material: II. A simple piece-wise softening law , 1994 .

[3]  Bhushan Lal Karihaloo,et al.  Size effect in shallow and deep notched quasi-brittle structures , 1999 .

[4]  Z. Bažant,et al.  Nonlinear Fracture Properties from Size Effect Tests , 1986 .

[5]  M. Elices,et al.  Nonlinear fracture of cohesive materials , 1991, International Journal of Fracture.

[6]  Smeared-tip superposition method for cohesive fracture with rate effect and creep , 1994, International Journal of Fracture.

[7]  A. Hasegawa,et al.  Fracture Process and Bridging Zone Model and Influencing Factors in Fracture of Concrete , 1989 .

[8]  Jaime Planas,et al.  Size effect and inverse analysis in concrete fracture , 1999 .

[9]  Jaime Planas,et al.  Asymptotic analysis of a cohesive crack: 2. Influence of the softening curve , 1993 .

[10]  M. Elices,et al.  A general bilinear fit for the softening curve of concrete , 1994 .

[11]  Z. Bažant Size Effect in Blunt Fracture: Concrete, Rock, Metal , 1984 .

[12]  Z. Bažant,et al.  Determination of fracture energy, process zone longth and brittleness number from size effect, with application to rock and conerete , 1990 .

[13]  Z. Bažant,et al.  Stability of Cohesive Crack Model: Part II—Eigenvalue Analysis of Size Effect on Strength and Ductility of Structures , 1995 .

[14]  P. Petersson Crack growth and development of fracture zones in plain concrete and similar materials , 1981 .

[15]  E. Smith The elastically equivalent softening zone size for an elastic-softening material: I. Power law softening behaviour , 1994 .

[16]  M. Elices,et al.  Asymptotic analysis of a cohesive crack: 1. Theoretical background , 1992 .

[17]  Z. Bažant,et al.  Fracture and Size Effect in Concrete and Other Quasibrittle Materials , 1997 .

[18]  Z. P. BazÏant,et al.  Size effect on structural strength : a review , 1999 .