A Statistical Distribution Function of Wide Applicability.¶
Weibull, W. (1951). A Statistical Distribution Function of Wide Applicability. Journal of Applied Mechanics, 18(3), 293-297.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Allometry and Scaling Law
- Material strength properties (yield stress, fracture toughness) can scale with grain size or sample size according to predictable exponents.
This sourceFoundational paper on the Weibull distribution, establishing power-law scaling of failure rates and material strength with system size — the canonical engineering allometry of reliability.
- Material strength properties (yield stress, fracture toughness) can scale with grain size or sample size according to predictable exponents.
Mechanisms¶
- Mechanical Coupon and Fatigue Testing
- Fatigue is defect-driven, so results obey a size effect
This sourceEstablishes a weakest-link size effect in solids: a larger stressed population creates more opportunities for a life-limiting weak element.
- Fatigue is defect-driven, so results obey a size effect
Verification¶
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