Size-scale transition from ductile to brittle failure: structural response vs. crack growth resistance curve

The concept of brittleness number is revised emphasizing the distinction between a stress-intensification treatment and an energy treatment. In the case of power-law hardening materials the relation between plastic stress-intensity factor and J-integral is translated into a relation between stress brittleness number and energy brittleness number. The structural response generally depends on both such numbers and, therefore, is not physically similar when varying the size-scale of the body. A connection is then established between structural response and crack growth resistance curve, the relevant parameters of a scale-invariant J-resistance curve being related to the energy brittleness number.

[1]  Alberto Carpinteri,et al.  Damage accumulation and crack growth in bilinear materials with softening: application of strain energy density theory , 1984 .

[2]  J. Rice.  A path-independent integral and the approximate analysis of strain , 1968 .

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

[4]  A. Carpinteri,et al.  Size effects and ductile-brittle transition of polypropylene , 1986 .

[5]  A. Carpinteri,et al.  Snap-back softening instability in high-strength concrete beams , 1989 .

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

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

[8]  John W. Hutchinson,et al.  Singular behaviour at the end of a tensile crack in a hardening material , 1968 .

[9]  Alberto Carpinteri.  Snap-back and hyperstrength in lightly reinfoced concrete beams , 1988 .

[10]  A. Carpinteri.  A catastrophe theory approach to fracture mechanics , 1990 .

[11]  Alberto Carpinteri,et al.  Fracture of reinforced concrete: scale effects and snap-back instability , 1990 .

[12]  Alberto Carpinteri,et al.  Minimum reinforcement in high strength concrete , 1990 .

[13]  Alberto Carpinteri,et al.  Mixed mode fracture energy of concrete , 1990 .

[14]  Alberto Carpinteri,et al.  Softening and snap-back instability in cohesive solids , 1989 .

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

[16]  Alberto Carpinteri,et al.  Interpretation of the Griffith Instability as a Bifurcation of the Global Equilibrium , 1985 .

[17]  Alberto Carpinteri,et al.  Stress-singularity and generalized fracture toughness at the vertex of re-entrant corners , 1987 .

[18]  Silvio Valente,et al.  Fracture mechanics of brick masonry: size effects and snap-back analysis , 1989 .

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

[20]  J. Rice,et al.  Plane strain deformation near a crack tip in a power-law hardening material , 1967 .

[21]  J. Gordon,et al.  THE EFFECT OF SPECIMEN SIZE ON THE CTOD R-CURVE BEHAVIOUR OF A TITANIUM ALLOY , 1989 .

[22]  A. Carpinteri.  Decrease of apparent tensile and bending strength with specimen size: two different explanations based on fracture mechanics , 1989 .

[23]  A. Carpinteri.  Post-peak and post-bifurcation analysis of cohesive crack propagation , 1989 .

[24]  A. Carpinteri,et al.  Numerical analysis of catastrophic softening behaviour (snap-back instability) , 1989 .