PROBABILISTIC NONLOCAL THEORY FOR QUASIBRITTLE FRACTURE INITIATION AND SIZE EFFECT. II: APPLICATION

By Zdenek P. Bazant, Drahomír Novák. 2000

102 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ef4f62978a5bc18f589b3dbd926b1a21de27534f

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In Civil and Structural Engineering

1. Zdenek P. Bazant
2. S. Pang
3. Qiang Yu
4. Milan Jirásek
5. Martin Z. Bazant
6. Jia-Liang Le
7. Miroslav Vorechovský
8. Drahomír Novák

In Mechanics of Materials

1. Zdenek P. Bazant
2. S. Pang
3. Martin Z. Bazant
4. Jia-Liang Le
5. Miroslav Vorechovský
6. Milan Jirásek
7. Drahomír Novák
8. Qiang Yu

Citations in the corpus

• Designing Against Size Effect on Shear Strength of Reinforced Concrete Beams Without Stirrups: I. Formulation (2005, background): “Recent in-depth studies [18, 19, 20], however, showed that the apparent value of m for concrete increases markedly with structure size and that, after separation of deterministic nonlocal effects, the correct value of Weibull modulus for concrete is about m ≈ 24.”
• Energetic–statistical size effect simulated by SFEM with stratified sampling and crack band model (2007, methodology): “One way to capture this transition is the nonlocal generalization of Weibull theory [20, 21, 43, 44, 58].”
• PROBABILISTIC NONLOCAL THEORY FOR QUASIBRITTLE FRACTURE INITIATION AND SIZE EFFECT. I: THEORY (2000, unknown): “The general theory will be presented in Part I, and the application will follow in Part II (Bažant and Novák 2000).”
• Probability distribution of energetic-statistical size effect in quasibrittle fracture (2004, methodology): “From the fitting of energetic size effect to extensive experimental data for quasibrittle fracture of unreinforced concrete beams [33,34] or fiber-composite laminate strips [42], it is known that the size effect asymptote for D ! 0 is closely approached for extrapolation to specimen sizes smaller th”
• Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling (2011, background): “…on concrete (Bažant et al., 2007) and on fiber composite (Bažant et al., 2006), as well as with the predictions of the nonlocal Weibull theory (Bažant and Novák, 2000a, 2000b), which is an older theory (Bažant and Xi, 1991) capable of describing the mean statistical size effect and the…”
• Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture (2007, methodology): “The effect of size (and brittleness) on reliability of quasibrittle structures was clarified by numerical simulations (Bazˇant and Nova´k, 2000a, b) and asymptotic approximations (Bazˇant, 1997, 2004a, b) based on the nonlocal generalization of Weibull theory (Bazˇant and Xi, 1991)—a theory that…”
• Nonlocal integral formulations of plasticity and damage : Survey of progress (2002, background): “…Weibull-type weakest li theory of quasibrittle structural failure runs into some pa doxical situations or incorrect predictions~Bažant and Xi 1991; Bazˇant and Nova´k 2000a,b,c!, which cannot be avoided without resorting to a nonlocal probabilistic mod ~see the section on nonlocal probabilistic…”