Fracture analysis of concrete using singular fractal functions with lattice beam network and confirmation with acoustic emission study

[1]  Thomas T. C. Hsu,et al.  Tensile Bond Strength Between Aggregate and Cement Paste or Mortar , 1963 .

[2]  R. H. Evans,et al.  Microcracking and stress-strain curves for concrete in tension , 1968 .

[3]  Nicholas J. Burt,et al.  Progressive Failure in a Model Heterogeneous Medium , 1977 .

[4]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[5]  Joost C. Walraven,et al.  Aggregate interlock: A theoretical and experimental analysis , 1980 .

[6]  H. W. Reinhardt,et al.  Stress-strain behaviour of concrete and mortar at high rates of tensile loading , 1982 .

[7]  F. H. Wittmann,et al.  Fracture mechanics of concrete , 1983 .

[8]  B. Mandelbrot,et al.  Fractal character of fracture surfaces of metals , 1984, Nature.

[9]  Rilem.  FMC 1 Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams , 1985 .

[10]  P. E. Roelfstra,et al.  Le béton numérique , 1985 .

[11]  F. H. Wittmann,et al.  Fracture toughness and fracture energy of concrete , 1986 .

[12]  Paul McIntire,et al.  Acoustic emission testing , 1987 .

[13]  Roux,et al.  Fracture of disordered, elastic lattices in two dimensions. , 1989, Physical review. B, Condensed matter.

[14]  C. C. Barton,et al.  Fractal characterization of fracture surfaces in concrete , 1990 .

[15]  Surendra P. Shah,et al.  Fracture mechanisms of quasi-brittle materials based on acoustic emission , 1990 .

[16]  Hans Jürgen Herrmann.  Patterns and Scaling in Fracture , 1991 .

[17]  E. Lepa,et al.  CRACKS WITH A FRACTAL SURFACE , 1991 .

[18]  H. Schorn,et al.  Numerical simulation of crack propagation from microcracking to fracture , 1991 .

[19]  J. Mier,et al.  Simple lattice model for numerical simulation of fracture of concrete materials and structures , 1992 .

[20]  Jean Lemaitre,et al.  A Course on Damage Mechanics , 1992 .

[21]  Feodor M. Borodich,et al.  FRACTAL FRACTURE OF BRITTLE BODIES DURING COMPRESSION , 1992 .

[22]  Erik Schlangen,et al.  Experimental and numerical analysis of micromechanisms of fracture of cement-based composites , 1992 .

[23]  Feodor M. Borodich.  Fracture Energy of Brittle and Quasi-brittle Fractal Cracks , 1993, Fractals in the Natural and Applied Sciences.

[24]  T. Erber,et al.  Sneaky plasticity and mesoscopic fractals , 1993 .

[25]  A. Mosolov.  Mechanics of fractal cracks in brittle solids , 1993 .

[26]  Victor E. Saouma,et al.  Fractals, Fractures, and Size Effects in Concrete , 1994 .

[27]  A. Mosolov.  Singular fractal functions and mesoscopic effects in mechanics , 1994 .

[28]  Alexander S. Balankin,et al.  Fractal fracture mechanics—A review , 1995 .

[29]  Surendra P. Shah,et al.  Fracture Mechanics of Concrete: Applications of Fracture Mechanics to Concrete, Rock and Other Quasi-Brittle Materials , 1995 .

[30]  B. Karihaloo.  Fracture mechanics and structural concrete , 1995 .

[31]  E. Garboczi,et al.  New method for simulating fracture using an elastically uniform random geometry lattice , 1996 .

[32]  M. A. Galicia-Cortes,et al.  The effect of self-affine roughness on crack mechanics in elastic solids , 1996 .

[33]  G. S. Bhattacharya,et al.  Interpretation of the scaling law of fracture of quasi-brittle materials using singular fractal functions , 1996 .

[34]  Masayasu Ohtsu,et al.  The history and development of acoustic emission in concrete engineering , 1996 .

[35]  E. Garboczi,et al.  FRACTURE SIMULATIONS OF CONCRETE USING LATTICE MODELS : COMPUTATIONAL ASPECTS , 1997 .

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

[37]  J.G.M. van Mier,et al.  Lattice model evaluation of progressive failure in disordered particle composites , 1997 .

[38]  G. S. Bhattacharya,et al.  Dimensional characterization of singular fractal functions , 1997 .

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

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

[41]  Feodor M. Borodich,et al.  Some fractal models of fracture , 1997 .

[42]  A. Balankin.  Physics of fracture and mechanics of self-affine cracks , 1997 .

[43]  Feodor M. Borodich,et al.  Fractals and fractal scaling in fracture mechanics , 1999 .

[44]  K. Otsuka,et al.  Fracture process zone in concrete tension specimen , 2000 .

[45]  Laurence J. Jacobs,et al.  Effect of Aggregate Size on Attenuation of Rayleigh Surface Waves in Cement-Based Materials , 2000 .

[46]  M. V. Vliet.  Size effect in Tensile Fracture of Concrete and Rock , 2000 .

[47]  J. Weiss,et al.  Self-affinity of fracture surfaces and implications on a possible size effect on fracture energy , 2001 .

[48]  S. Sarkani,et al.  The mechanics of self-similar and self-affine fractal cracks , 2002 .

[49]  E. Landis,et al.  EXPERIMENTS TO RELATE ACOUSTIC EMISSION ENERGY TO FRACTURE ENERGY OF CONCRETE , 2002 .

[50]  Bhushan Lal Karihaloo,et al.  Improved Lattice Model for Concrete Fracture , 2002 .

[51]  Michael Forde,et al.  Assessing Damage of Reinforced Concrete Beam using b -value Analysis of Acoustic Emission Signals , 2003 .

[52]  J. Mier,et al.  Effect of particle structure on mode I fracture process in concrete , 2003 .

[53]  Bhushan Lal Karihaloo,et al.  Lattice modelling of size effect in concrete strength , 2003 .

[54]  M.R.A. van Vliet,et al.  Influence of microstructure of concrete on size/scale effects in tensile fracture , 2003 .

[55]  Bhushan Lal Karihaloo,et al.  Lattice modelling of the failure of particle composites , 2003 .

[56]  Zdeněk P. Bažant,et al.  Is the cause of size effect on structural strength fractal or energetic-statistical? , 2004 .

[57]  R. Ince.  A novel meso-mechanical model for concrete fracture , 2004 .

[58]  John E. Bolander,et al.  Irregular lattice model for quasistatic crack propagation , 2005 .

[59]  M. V. M. S. Rao,et al.  Analysis of b-value and improved b-value of acoustic emissions accompanying rock fracture , 2005 .

[60]  Victor E. Saouma,et al.  On Fractals and Size Effects , 2006 .

[61]  G. Lilliu,et al.  On the relative use of micro-mechanical lattice analysis of 3-phase particle composites , 2007 .

[62]  B. Prasad,et al.  Relationship between AE Energy and Fracture Energy of Plain Concrete Beams : Experimental Study , 2008 .

[63]  John E. Bolander,et al.  Explicit representation of physical processes in concrete fracture , 2009 .

[64]  Heng Zhang,et al.  Fracture and Damage Behaviors of Concrete in the Fractal Space , 2010 .