Show that the screw dislocation displacement field (15.1.5) gives the stresses (15.1.6) and (15.1.7). Equation 15.1.5 Equation

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Show that the screw dislocation displacement field (15.1.5) gives the stresses (15.1.6) and (15.1.7).

Equation 15.1.5

u =v=0 b 2 W = tan -1 X

Equation 15.1.6

Txz = ub y 2x + y ub X 2 x + y 0x = oy = 0 = Txy = 0 Tyz

Equation 15.1.7

b 2 dr = 00 = 0z = tre=trz = 0 102

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