|
Fracture
mechanics started with the ideas of Griffith in the 1920s
on the fracture of brittle solids such as glass, where he
suggested that the fracture strength was inversely proportional
to the square root of the length of the largest crack (defect)
present. Later in the 1950s, when fracture had been seen in
metals without prior plastic (permanent) deformation, the
concepts of fracture mechanics were developed. These can be
expressed as:
KIc
= QÛfv (_a)
KIc = fracture toughness, a function of the material
Q = geometrical factor, related to crack and component geometry
a = length of crack
By
analysis of the crack size causing failure and the material,
the stress causing the failure can be estimated and compared
to the design stresses expected. With the use of fracture
mechanics as part of the design process, especially in high
strength materials and in high integrity structures, such
as aircraft and oilrigs, it is rare to see instant fast fracture.
More
usually cracks grow by fatigue (repeated stresses) or stress-corrosion
(synergy between tensile stress and corrodant). This crack
growth is a function of stress intensity (KI =
QÛv (_a), where Û = stress).
|