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

By Zdenek P. Bazant, Drahomír Novák. 2000

135 citations recorded by the source corpus.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/99141d6578223ae21bef9871ee252996dec1ca3b

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In Mechanics of Materials

1. Zdenek P. Bazant
2. S. Pang
3. Martin Z. Bazant
4. Jia-Liang Le
5. Arash Yavari
6. Milan Jirásek
7. Drahomír Novák
8. P. Grassl

Citations in the corpus

• 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…”
• Probability distribution of energetic-statistical size effect in quasibrittle fracture (2004, background): “In a way, these load-sharing hypotheses act similarly as the energy release due to stress redistribution by advancing fracture, but are far from equivalent.”
• 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…”
• PROBABILISTIC NONLOCAL THEORY FOR QUASIBRITTLE FRACTURE INITIATION AND SIZE EFFECT. II: APPLICATION (2000, background): “of the fracture energy of the material, Gf and l; Baz̆ant and Planas 1998). The beam width is b = 1. The selection of m is a crucial point for the statistical size effect. The higher the m-value, the milder this effect is. According to Zech and Wittmann (1977), m = 12.”
• 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…”
• Is the cause of size effect on structural strength fractal or energetic-statistical? (2004, methodology): “The Weibull statistical theory and the energetic theory (which arose from the fracture propagation concept of Griffith) have been combined in the nonlocal Weibull theory [35, 36 ,44], which has both aforementioned theories as its asymptotic limits.”