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Fracture. Liberty Ships in WWII. Fracture. Quebec Bridge - August 29, 1907. Quebec Bridge - Sept. 11, 1916. Tacoma Narrows Bridge Failure. Tacoma Narrows Bridge Failure. Tacoma Narrows Bridge Failure. Tacoma Narrows Bridge Failure. Basis for Fracture Mechanics.
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Fracture Liberty Ships in WWII
Basis for Fracture Mechanics ( c )1/2= (2 s E )1/2 Stress Intensity Factor K geometrical loading Fracture Toughness KIc Material Parameters
Stress Intenisty Factors K = f (,c) Infinite plate; through crack Semi-infinite plate; through crack K = (c)1/2 Y = 1 K = Y (c)1/2 Y = 1.12 2c c Finite plate; through crack Penny crack K = Y (c)1/2 w K = Y (c)1/2 Y = 2/ 2.2 2.0 1.8 Y 2c .1 .5 2c/w
Ductile Fracture • local > yield • dislocation motion blunts the crack tip !!! • harder for crack to propagate r
Brittle Fracture r local < yield No dislocation motion !!! Atoms cleave
DBTT Ductile Brittle Transition Temperature BCC yield fracture fast fracture yielding DBTT T