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When
a straight dislocation is subjected to a shear stress,
t, it experiences a force
per unit length, tb,
where b is the dislocation Burgers vector. Under the influence of this
force the dislocation bows out, as shown in the diagram, increasing in
length and, hence, total energy. The line tension, T, is the change in
the energy of the dislocation with its change in length:
T = (dU/dl) = d(Gb2l)/dl = Gb2, where G is the shear modulus of the crystal. |
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From: Barrett, Nix and Tetelman, "The Principles of Engineering Materials," Prentice Hall (1973) | ||||||||||