Fractality of Scale-Invariant Cohesive Constitutive Laws
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[1] Alberto Carpinteri,et al. Crack-resistance behavior as a consequence of self-similar fracture topologies , 1996 .
[2] Hans Jürgen Herrmann,et al. Self‐organized criticality of plastic shear bands in rocks , 1994 .
[3] Kenneth Falconer,et al. Fractal Geometry: Mathematical Foundations and Applications , 1990 .
[4] H. Herrmann,et al. Statistical models for the fracture of disordered media. North‐Holland, 1990, 353 p., ISBN 0444 88551x (hardbound) US $ 92.25, 0444 885501 (paperback) US $ 41.00 , 1990 .
[5] M. Elices,et al. Measurement of the fracture energy using three-point bend tests: Part 2—Influence of bulk energy dissipation , 1992 .
[6] Alberto Carpinteri,et al. Size effects on tensile fracture properties: a unified explanation based on disorder and fractality of concrete microstructure , 1994 .
[7] Giuseppe Lacidogna,et al. Scaling of energy dissipation in crushing and fragmentation: a fractal and statistical analysis based on particle size distribution , 2004 .
[8] Z. Bažant. Size Effect in Blunt Fracture: Concrete, Rock, Metal , 1984 .
[9] D. Winslow,et al. The fractal nature of the surface of cement paste , 1985 .
[10] Stéphane Roux,et al. Field measurements of the roughness of fault surfaces , 1993 .
[11] S. Sarkani,et al. The mechanics of self-similar and self-affine fractal cracks , 2002 .
[12] Sebastian Stach,et al. Fracture surface — fractal or multifractal? , 2001 .
[13] T. A. Jones,et al. Surface measurement and fractal characterization of naturally fractured rocks , 1992 .
[14] Alberto Carpinteri,et al. An extended (fractal) Overlapping Crack Model to describe crushing size-scale effects in compression , 2009 .
[15] A. Carpinteri,et al. Rotation Versus Curvature Fractal Scaling in Bending Failure , 2019, Physical Mesomechanics.
[16] Alberto Carpinteri,et al. Effect of specimen size on the dissipated energy density in compression , 2008 .
[17] Gajanan M. Sabnis,et al. Size Effect in Model Concretes , 1979 .
[18] P. Daguier,et al. Pinning and Depinning of Crack Fronts in Heterogeneous Materials , 1997 .
[19] A. Hillerborg,et al. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .
[20] R. Dauskardt,et al. On the interpretation of the fractal character of fracture surfaces , 1990 .
[21] C. Lung,et al. Studies on the fractal dimension of a fracture surface formed by slow stable crack propagation , 1991 .
[22] Pietro Cornetti,et al. A scale-invariant cohesive crack model for quasi-brittle materials , 2002 .
[23] Alberto Carpinteri,et al. A new explanation for size effects on the flexural strength of concrete , 1997 .
[24] Rilem. FMC 1 Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams , 1985 .
[25] Feodor M. Borodich,et al. Some fractal models of fracture , 1997 .
[26] Alberto Carpinteri,et al. Mechanical damage and crack growth in concrete , 1986 .
[27] Jishan Xu,et al. Size effect on the strength of a concrete member , 1990 .
[28] Alberto Carpinteri,et al. Stress-singularity and generalized fracture toughness at the vertex of re-entrant corners , 1987 .
[29] Pietro Cornetti,et al. A stereological analysis of aggregate grading and size effect on concrete tensile strength , 2004 .
[30] P. Panagiotopoulos. Fractal geometry in solids and structures , 1992 .
[31] Alberto Carpinteri,et al. Complex fracture energy dissipation in concrete under different loading conditions , 1997 .
[32] Benoit B. Mandelbrot,et al. Fractal Geometry of Nature , 1984 .
[33] Xiaozhi Hu,et al. Fracture energy and fracture process zone , 1992 .
[34] K. Wilson. The renormalization group and critical phenomena , 1983 .
[35] Alberto Carpinteri,et al. Scale dependence of tensile strength of concrete specimens: a multifractal approach , 1998 .
[36] A. A. Griffith. The Phenomena of Rupture and Flow in Solids , 1921 .
[37] R. F. Blanks,et al. MASS CONCRETE TESTS IN LARGE CYLINDERS , 1935 .
[38] Donald L. Turcotte,et al. Fractals and fragmentation , 1986 .
[39] Alberto Carpinteri,et al. Fractal nature of material microstructure and size effects on apparent mechanical properties , 1994 .
[40] Pietro Cornetti,et al. Size Effects on Concrete Tensile Fracture Properties: An Interpretation of the Fractal Approach Based on the Aggregate Grading , 2002 .
[41] Alex Hansen,et al. Origin of the universal roughness exponent of brittle fracture surfaces:stress-weighted percolation in the damage zone. , 2003, Physical review letters.
[42] Alberto Carpinteri,et al. Applications of Fracture Mechanics to Reinforced Concrete , 2018 .
[43] M. Elices,et al. Measurement of the fracture energy using three-point bend tests: Part 3—influence of cutting theP-δ tail , 1992 .
[44] Alberto Carpinteri,et al. One-, two- and three-dimensional universal laws for fragmentation due to impact and explosion , 2002 .
[45] Maxence Bigerelle,et al. Fractals and fracture , 1998 .
[46] A. Carpinteri,et al. Cohesive crack model description of ductile to brittle size-scale transition: dimensional analysis vs. renormalization group theory , 2003 .
[47] 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 .
[48] Nicola Pugno,et al. Fractal fragmentation theory for shape effects of quasi-brittle materials in compression , 2002 .
[49] J. Planès,et al. Fractal Dimension of Fractured Surfaces: A Universal Value? , 1990 .
[50] Alberto Carpinteri,et al. Scale effects in uniaxially compressed concrete specimens , 1999 .
[51] S. Puzzi,et al. Scaling Laws and Multiscale Approach in the Mechanics of Heterogeneous and Disordered Materials , 2006 .
[52] A. Carpinteri,et al. Size Effects on Tensile Strength and Fracture Energy In Concrete: Wavelet vs. Fractal Approach , 2001 .
[53] M. Elices,et al. Measurement of the fracture energy using three-point bend tests: Part 1—Influence of experimental procedures , 1992 .
[54] Roux,et al. Experimental measurements of the roughness of brittle cracks. , 1992, Physical review letters.
[55] B. L. Cox,et al. Fractal Surfaces: Measurement and Applications in the Earth Sciences , 1993 .
[56] B. Mandelbrot,et al. Fractal character of fracture surfaces of metals , 1984, Nature.
[57] Mahmoud A. Issa,et al. Fractal dimension––a measure of fracture roughness and toughness of concrete , 2003 .
[58] Alberto Carpinteri,et al. Fracture Mechanics of Concrete: Material Characterization and Testing , 1984 .
[59] A. S. Jayatilaka,et al. Fracture of engineering brittle materials , 1979 .
[60] Alberto Carpinteri,et al. Scaling behaviour and dual renormalization of experimental tensile softening responses , 1998 .
[61] Surendra P. Shah,et al. Fracture Mechanics Test Methods For Concrete , 2004 .
[62] F. Schmitt,et al. Scaling invariance of crack surfaces , 1995 .
[63] Pietro Cornetti,et al. On the mechanics of quasi-brittle materials with a fractal microstructure , 2003 .
[64] A. Balankin. Physics of fracture and mechanics of self-affine cracks , 1997 .
[65] K. Wilson. Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture , 1971 .
[66] G. Irwin. ANALYSIS OF STRESS AND STRAINS NEAR THE END OF A CRACK TRAVERSING A PLATE , 1957 .
[67] Z. Bažant,et al. Nonlinear Fracture Properties from Size Effect Tests , 1986 .
[68] Anthony H. Bryant,et al. Experimental Tests on Concrete Fracture , 1979 .
[69] M.R.A. van Vliet,et al. Effect of strain gradients on the size effect of concrete in uniaxial tension , 1999 .
[70] Alberto Carpinteri,et al. Power Scaling Laws and Dimensional Transitions in Solid Mechanics , 1996 .
[71] S. Roux,et al. Development of Roughness in Crack Propagation , 1994 .
[72] Alberto Carpinteri,et al. Multifractal scaling laws in the breaking behaviour of disordered materials , 1997 .
[73] Gary James Jason,et al. The Logic of Scientific Discovery , 1988 .
[74] Alberto Carpinteri,et al. Multifractal nature of concrete fracture surfaces and size effects on nominal fracture energy , 1995 .
[75] Alberto Carpinteri,et al. Three-dimensional fractal analysis of concrete fracture at the meso-level , 1999 .
[76] Alberto Carpinteri,et al. Multifractal scaling law: an extensive application to nominal strength size effect of concrete structures , 1995 .
[77] Alberto Carpinteri,et al. Mechanical damage and crack growth in concrete: Plastic collapse to brittle fracture , 2011 .
[78] Alberto Carpinteri,et al. Plastic flow collapse vs. separation collapse (fracture) in elastic-plastic strain-hardening structures , 1983 .
[79] G. I. Barenblatt. Flow, Deformation and Fracture: Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists , 2014 .
[80] G. I. Barenblatt,et al. Similarity, Self-Similarity and Intermediate Asymptotics , 1979 .
[81] A. Carpinteri. Scaling laws and renormalization groups for strength and toughness of disordered materials , 1994 .
[82] Zdeněk P. Bažant,et al. Cracking and damage: strain localization and size effect , 1989 .
[83] A. Carpinteri,et al. Multifractal Scaling Law Versus Gradient Elasticity in the Evaluation of Disordered Materials Compressive Strength , 2001 .