Abstract
In 1915 A.A. Griffith and G.I. Taylor worked together for the Royal Flying Corps at Farnborough, U.K., on the problem of the fracture of propeller shafts, weakened by keyways cut to transmit the torque from the shaft to the propeller. This work started Griffith and Taylor thinking about the physical processes which limit the strength of materials. It led to the famous Griffith formula for the propagation of sharp cracks (1920, 1924), and some time later to Taylor’s explanation of plastic flow by the movement of dislocations (Taylor 1934). Plasticity around a crack-tip increases the resistance to brittle fracture. In quasi-brittle materials this resistance increases with increasing temperature in a certain temperature range — the brittle-ductile transition (BDT). This reflects the competition between Griffith and Taylor processes. The modelling of this competition is one of the most difficult problems in crystal plasticity, which is why after 60 years of dislocation theory, it still presents a considerable challenge.
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Hirsch, P.B. (1995). Crack-Tip Plasticity and Quasi-Brittle Fracture of Single Crystals. In: Bradt, R.C., Brookes, C.A., Routbort, J.L. (eds) Plastic Deformation of Ceramics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1441-5_1
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