Scaling of structural strength

By Zdenek P. Bazant. 2003

440 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/0dc2e689b35d2b468489a465b577467ae8e77940

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In Civil and Structural Engineering

Citations in the corpus

Energetic–statistical size effect simulated by SFEM with stratified sampling and crack band model (2007, background): “Positive geometry, which is the only case considered in this study, guarantees that the maximum load (representing failure if the load is controlled) is reached at the onset of macro-crack propagation, as soon as the FPZ is fully formed.”
Revisiting nucleation in the phase-field approach to brittle fracture (2020, neutral): “1 ; see, e.g., Irwin (1958) , Usami et al. (1986) , Bažant (2005) , and references therein.”
Probability distribution of energetic-statistical size effect in quasibrittle fracture (2004, background): “The large-size and small-size asymptotic properties of size effect are determined, and the reasons for the existence of intermediate asymptotics are pointed out.”
Universal Size Effect Law and Effect of Crack Depth on Quasi-Brittle Structure Strength (2009, methodology): “According to this deterministic model, cohesive fracture must have the following asymptotic properties for vanishing and infinite structure sizes D Bažant 2001, 2002 : For D → 0: N 1 − k0D + O D2 all types 9 For D → and 0 → 0: N 1 + k1D−1 + O D−2 Type I 10 For D → and large 0: N D −1/2 1 − k2D−1 +…”
Meso-scale modelling of the size effect on the fracture process zone of concrete (2011, background): “Experimental results show that this size effect follows neither the strength limit nor linear elastic fracture mechanics (Bažant, 2002).”
Designing Against Size Effect on Shear Strength of Reinforced Concrete Beams Without Stirrups: I. Formulation (2005, background): “The shape of the softening curve is assumed to be fixed, which means that all the other parameters of the softening curve, such as the total fracture energy GF , representing the area under the entire curve, are related to σ0 and Gf .”
Effect of aggregate structure on fracture process in concrete using 2D lattice model (2007, background): “Fracture process is a fundamental phenomenon in brittle materials [3].”
Statistical prediction of fracture parameters of concrete and implications for choice of testing standard (2002, background): “exist [1–93] and statistics of their errors determined.”
Size-Effect Testing of Cohesive Fracture Parameters and Nonuniqueness of Work-of-Fracture Method (2011, methodology): “(1) applies only to structures with large enough notches or cracks, which is called the Type 2 size effect; another formula applies to Type 1 size effect, which occurs for failures at crack initiation from a smooth surface (Bažant 2005; Yu et al. 2010)].”
CONFINEMENT-SHEAR LATTICE MODEL FOR CONCRETE DAMAGE IN TENSION AND COMPRESSION: II. COMPUTATION AND VALIDATION (2003, background): “…effecton the nominal strengt 1454 / JOURNAL OF ENGINEERING MECHANICS © ASCE / DECEMBE lies is ore erihe ycle to ete of the concrete structures~Bažant 2002a,b!. Knowledge of the size effect in turn allows identification of the macroscopic frac ture properties and characteristic length of…”
Asymptotic expansions by Γ-convergence (2008, background): “, Bernoulli and Timoshenko theories for rods [6, 41, 50], Kirchhoff and Mindlin-Reissner models for plates [3, 6, 41], gradient and nonlocal continuum models of crystal elasticity [47, 39, 55], various regularizations in the models with phase transitions or strain localization [5, 42]).”
Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture (2007, background): “The mean size effect behavior of the nonlocal Weibull theory is known to be well captured by the cohesive crack model , crack band model or some of the nonlocal damage models for concrete and other quasibrittle materials ( Bazˇant , 2002 ; Bazˇant and Planas , 1998 ) .”
Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling (2011, methodology): “…to obtain analytical expressions for sN and l, but an approximate analytical formula for the mean strength has been obtained by asymptotic matching (Bažant, 2004, 2005): sN ¼ Na D þ Nb D c=m" #1=c ð48Þ Here parameters Na, Nb, c and m are to be determined by asymptotic properties of the size…”
Crack nucleation in variational phase-field models of brittle fracture (2018, result): “The results are in good agreement with classical theories linking size-effect on the strength of the material [12].”