Saturday, March 12, 2011

Brittle Fracture

In brittle fracture, no apparent plastic deformation takes place before fracture. In brittle crystalline materials, fracture can occur by cleavage as the result of tensile stress acting normal to crystallographic planes with low bonding (cleavage planes). In amorphous solids, by contrast, the lack of a crystalline structure results in a conchoidal fracture, with cracks proceeding normal to the applied tension.

The theoretical strength of a crystalline material is (roughly)
\sigma_\mathrm{theoretical} = \sqrt{ \frac{E \gamma}{r_o} }
where: -
E is the Young's modulus of the material,
γ is the surface energy, and
ro is the equilibrium distance between atomic centers.
On the other hand, a crack introduces a stress concentration modeled by
\sigma_\mathrm{elliptical\ crack} = \sigma_\mathrm{applied}(1 + 2 \sqrt{ \frac{a}{\rho}}) = 2 \sigma_\mathrm{applied} \sqrt{\frac{a}{\rho}} (For sharp cracks)
where: -
σapplied is the loading stress,
a is half the length of the crack, and
ρ is the radius of curvature at the crack tip.
Putting these two equations together, we get
\sigma_\mathrm{fracture} = \sqrt{ \frac{E \gamma \rho}{4 a r_o}}.
Looking closely, we can see that sharp cracks (small ρ) and large defects (large a) both lower the fracture strength of the material.

Recently, scientists have discovered supersonic fracture, the phenomenon of crack motion faster than the speed of sound in a material. This phenomenon was recently also verified by experiment of fracture in rubber-like materials.

The above info is taken from Wikipedia and from www.ubstech.com. Please do refer to the same for further info.


Don't forget to grab a copy of Material Science and Engineering book, which is essential for preparing for AMIE, Material Science.
with warm reagards
AllMyPosts

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