Statistics of strength of ceramics: finite weakest-link model and necessity of zero threshold

DOI10.1007/s10704-009-9317-8zbMath1194.74013OpenAlexW2038761580MaRDI QIDQ841962

Zdeněk P. Bažant, Sze-Dai Pang, Jia-Liang Le

Publication date: 18 September 2009

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-009-9317-8

zbMATH Keywords

quasibrittle materialssize-effectactivation energyatomic latticeWeibullian distribution

Mathematics Subject Classification ID

Brittle fracture (74R10) Theories of fracture and damage (74A45) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (3)

Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures. I: Strength, static crack growth, lifetime and scaling ⋮ Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures. II: Fatigue crack growth, lifetime and scaling ⋮ Design of quasibrittle materials and structures to optimize strength and scaling at probability tail: an apercu

Cites Work

• The Fokker-Planck equation. Methods of solution and applications.
• Size effects in the distribution for strength of brittle matrix fibrous composites
• Theory of Financial Risk and Derivative Pricing
• Lower tail analysis of the distribution of the strength of load-sharing systems
• The statistical theory of the strength of bundles of threads. I
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