PRINCIPLES OF SOLUTION HARDENING. TECHNICAL REPORT NO. 12 Page: 10 of 80
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Cottrell(21) has pointed out, a dislocation may be considered to have a tension
acting along its length and tending to shorten it. The shape assumed by a
dislocation in an internal stress field is given by
where O is the minimum radius of curvature in the region of the internal
stress, c7Z . Combination of the two equations yields
'The radius of curvatu-e in atomi distances is .equal to the shear modulus. divided
by the internal stress. For a radius of curvature approaching atomic dimensions,
the internal stress would have to be about as large as the shear modulus.
Reasonable estimates indicate that the maxiumum stress around a solute atom is
of the order of G/100. Thus, it appears fairly clear that solution hardening
cannot be due to stress fields surrounding individual randomly distributed solute
Since solution hardening cannot be accounted for on the basis of randomly
distributed solute atoms, .it must be due to collections of these atoms in
clusters or in groups having short range order. Several mechanisms of hardening
based upon this hypothesis are possible, and each of these will now be discussed
Cottrell Mechanism: Cottrell has proposed a-mechanism of hardening in
which the solute atoms will form an atmosphere around dislocations. Atoms above
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Parker, E.R. & Hazlett, T.H. PRINCIPLES OF SOLUTION HARDENING. TECHNICAL REPORT NO. 12, report, October 1, 1953; United States. (https://digital.library.unt.edu/ark:/67531/metadc1024439/m1/10/: accessed April 22, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.