Take the alumina ceramic of Table 8.1: , , .

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

Bending, Ringing, Breaking and Flowing, Ch Fracture: stress concentration, cracks and toughness

Problem

Take the alumina ceramic of Table 8.1:

K_{Ic}=4\,\mathrm{MPa\,m^{1/2}}

E=380\,\mathrm{GPa}

\nu=0.22

. ((a)) Convert its toughness to a fracture energy

\mathcal{G}_c

with Irwin's relation. ((b)) Find the critical half-length of a central crack in a wide alumina plate working at

\sigma=200\,\mathrm{MPa}

. ((c)) Find the fracture energy someone would get by wrongly using the plane-stress

E'=E

in part (a).

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