David Roylance developed an engineering treatment of fracture mechanics connecting cracks, loading and a material's resistance to failure. His notes derive an energy-balance description and introduce the stress intensity factor as a measure of crack-tip loading.[ref]
Introduction to Fracture Mechanics by David Roylance. Energy-balance approach and stress-intensity treatment
In a simple linear-elastic mode-I geometry, , with crack scale and dimensionless geometry coefficient . Comparing with the relevant fracture toughness shows why a nominally moderate bulk stress can be critical when a sufficiently large flaw is present. The geometry and elastic regime are essential assumptions.
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