Effect of specimen size on the dissipated energy density in compression

The size effects in compression on drilled cylindrical concrete specimens obtained from a unique concrete block over a large scale range (1:19) are analyzed. The experimental results show scale effects on dissipated energy density rather than on the compressive strength. A theoretical explanation for such a phenomenon is presented, assuming a noninteger physical dimension of the subdomain where dissipation occurs. A comparison between experimental and theoretical values is discussed and a renormalization procedure to obtain a scale-independent constitutive law is presented

[1]  S. Nemat-Nasser,et al.  Brittle failure in compression: splitting faulting and brittle-ductile transition , 1986, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[2]  Alberto Carpinteri,et al.  Scale effects in uniaxially compressed concrete specimens , 1999 .

[3]  Alberto Carpinteri,et al.  Size-scale and slenderness influence on the compressive strain-softening behaviour of concrete: experimental and numerical analysis , 2001 .

[4]  S. Nemat-Nasser,et al.  Compression‐induced nonplanar crack extension with application to splitting, exfoliation, and rockburst , 1982 .

[5]  Pietro Cornetti,et al.  Static–kinematic duality and the principle of virtual work in the mechanics of fractal media , 2001 .

[6]  Alberto Carpinteri,et al.  Size effects on concrete fracture energy: dimensional transition from order to disorder , 1996 .

[7]  Y. H. Lee,et al.  MECHANICAL PROPERTIES OF CONCRETE IN UNIAXIAL COMPRESSION , 1997 .

[8]  Alberto Carpinteri,et al.  Fractal nature of material microstructure and size effects on apparent mechanical properties , 1994 .

[9]  Donald L. Turcotte,et al.  Fractals and fragmentation , 1986 .

[10]  M.R.A. van Vliet,et al.  Experimental investigation of concrete fracture under uniaxial compression , 1996 .

[11]  Alberto Carpinteri,et al.  Notch sensitivity in fracture testing of aggregative materials , 1982 .

[12]  Nicola Pugno,et al.  Fractal fragmentation theory for shape effects of quasi-brittle materials in compression , 2002 .

[13]  Alberto Carpinteri,et al.  Size effects on tensile fracture properties: a unified explanation based on disorder and fractality of concrete microstructure , 1994 .

[14]  Alberto Carpinteri,et al.  Stability of Fracturing Process in RC Beams , 1984 .

[15]  Alberto Carpinteri,et al.  Size effects on nominal tensile strength of concrete structures: multifractality of material ligaments and dimensional transition from order to disorder , 1995 .

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

[17]  Alberto Carpinteri,et al.  Size Effects on Strength, Toughness, and Ductility , 1989 .

[18]  S. Nemat-Nasser,et al.  Micromechanics: Overall Properties of Heterogeneous Materials , 1993 .

[19]  A. H. Nilson,et al.  Mechanical Properties of High-Strength Lightweight Concrete , 1986 .

[20]  Gro Markeset,et al.  Softening of concrete in compression — Localization and size effects , 1995 .

[21]  Alberto Carpinteri,et al.  A multifractal comminution approach for drilling scaling laws , 2003 .

[22]  J. Mier.  Multiaxial strain-softening of concrete , 1986 .

[23]  Alberto Carpinteri,et al.  A new explanation for size effects on the flexural strength of concrete , 1997 .

[24]  Alberto Carpinteri,et al.  Boundary element method for the strain-softening response of quasi-brittle materials in compression , 2001 .

[25]  B. Mandelbrot.  Self-Affine Fractals and Fractal Dimension , 1985 .

[26]  Andreas W. Momber,et al.  The fragmentation of standard concrete cylinders under compression: the role of secondary fracture debris , 2000 .

[27]  Alberto Carpinteri,et al.  A fractal comminution approach to evaluate the drilling energy dissipation , 2002 .

[28]  Arvid M. Johnson,et al.  ANALYSES OF LONGITUDINAL SPLITTING OF UNIAXIALLY COMPRESSED ROCK CYLINDERS , 1979 .

[29]  Alberto Carpinteri,et al.  Static and energetic fracture parameters for rocks and concretes , 1981 .

[30]  J. Balayssac,et al.  Strain-softening of concrete in uniaxial compression , 1997 .

[31]  A. Carpinteri.  Scaling laws and renormalization groups for strength and toughness of disordered materials , 1994 .

[32]  A. Carpinteri.  Cusp catastrophe interpretation of fracture instability , 1989 .

[33]  Zdenek P. Bazant,et al.  SIZE EFFECT IN COMPRESSION FRACTURE: SPLITTING CRACK BAND PROPAGATION , 1997 .

[34]  S. D. Hallam,et al.  The failure of brittle solids containing small cracks under compressive stress states , 1986 .

[35]  Alberto Carpinteri,et al.  Multifractal nature of concrete fracture surfaces and size effects on nominal fracture energy , 1995 .

[36]  Franz-Josef Ulm,et al.  Compressive Behavior of Concrete: Physical Mechanisms and Modeling , 1996 .

[37]  Giuseppe Andrea Ferro,et al.  On dissipated energy density in compression for concrete , 2006 .

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