Equations · equation

Griffith Fracture Criterion

Materials Science · 1921

Equation
σ_f = √(2Eγ / πa)
Field
Materials Science
Named After
Alan Arnold Griffith
Symbols
σ_f stress at which fracture runs away · E Young's modulus · γ energy to create new surface · a length of the largest existing crack
Year
1921

Significance

Things break not because their atoms are weak but because flaws concentrate stress — strength falls with the square root of the biggest crack. Why glass fibres are strong while glass panes shatter, why aircraft windows are round, and the founding equation of fracture mechanics.

Skills

Minerals

Related

Requires

Elements

Referenced by

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From the Equations database in Notion, last edited 2026-08-26. This page is the row, rendered by the build; nothing on it is written by hand.