Approximations for the strength distribution and size effect in an idealized lattice model of material breakdown

DOI10.1016/0022-5096(91)90002-6zbMath0735.73063OpenAlexW146526358MaRDI QIDQ1181403

S. Leigh Phoenix, D. Gary Harlow

Publication date: 27 June 1992

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(91)90002-6

zbMATH Keywords

asymptotic resultschain-of-bundles model

Mathematics Subject Classification ID

Related Items (3)

Extension of fibre bundle models for creep rupture and interface failure ⋮ Dilute-crack approximations for damage and fracture in disordered structures ⋮ Introduction to critical phenomena through the fiber bundle model of fracture

Cites Work

• A comparison of probabilistic techniques for the strength of fibrous materials under local-sharing among fibers
• An extreme value theory for long head runs
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Limit theorems and approximations for the reliability of load-sharing systems
• A probability model for fibrous composites with local load sharing
• Probability distributions for the strength of fibrous materials under local load sharing I: Two-level failure and edge effects
• Recursions and limit theorems for the strength and lifetime distributions of a fibrous composite

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