Effect of strain gradients on the size effect of concrete in uniaxial tension

A series of uniaxial tension experiments has been conducted to investigate the size effect on strength and fracture energy of quasi brittle materials like concrete and sandstone. This paper focuses on the results of the concrete tests, and specifically deals with the variation of the nominal strength for specimens of six different sizes in a scale range of 1:32. It was found that under given experimental conditions, the nominal strength strongly depended on the specimen size. More important however, is the fact that most of this size effect could be attributed to strain gradients which were present in the cross section of the specimens. These strain gradients were caused by the specimen shape, load eccentricity and material inhomogeneity. Through a combination of experimental data and a simple linear elastic analysis, the importance of strain gradients with respect to the ultimate load level could be visualized. This leads to the conclusion that studying a material size effect is not possible without taking into account structural stress/strain gradients.

[1]  J. Mier.  Fracture Processes of Concrete , 1997 .

[2]  Z. Bažant,et al.  Scaling of quasibrittle fracture: asymptotic analysis , 1997 .

[3]  S. P. Shah,et al.  New test method for obtaining softening response of unnotched concrete specimen under uniaxial tension , 1993 .

[4]  W. Weibull.  A statistical theory of the strength of materials , 1939 .

[5]  D. Hordijk.  Local approach to fatigue of concrete , 1991 .

[6]  Alberto Carpinteri,et al.  Multifractal scaling law for the nominal strength variation of concrete structures , 1993 .

[7]  Giuseppe Andrea Ferro,et al.  Effetti di scala sulla resistenza a trazione dei materiali , 1994 .

[8]  René de Borst,et al.  Material Instabilities in Solids , 1998 .

[9]  F. H. Wittmann,et al.  Part II Probabilistic approach to describe the behaviour of materials , 1978 .

[10]  Zdeněk P. Bažant,et al.  Size effect in concrete structures , 1994 .

[11]  G. I. Schuëller,et al.  A complex study on the reliability assessment of the containment of a PWR Parts I–III☆ , 1978 .

[12]  H. Heilmann.  ZUGSPANNUNG UND DEHNUNG IN UNBEWEHRTEN BETONQUERSCHNITTEN BEI EXZENTRISCHER BELASTUNG , 1976 .

[13]  R. Peterson,et al.  Stress Concentration Factors , 1974 .

[14]  Yunping Xi,et al.  Statistical Size Effect in Quasi-Brittle Structures: I. Is Weibull Theory Applicable? , 1991 .

[15]  A.H.J.M. Vervuurt,et al.  Interface Fracture in Concrete , 1997 .

[16]  Hans Muhlhaus,et al.  Continuum models for materials with microstructure , 1995 .

[17]  J. Mier,et al.  Analysis of hygral induced crack growth in multiphase materials , 1996 .