Consider two edge dislocations, each with line vector = [001] and Burger's vector b = [100]. Dislocation 1 is positioned at the origin of a coordinate system as shown, while Dislocation 2 is at some position x along a slip plane at y = h. y L I. X The dislocation creates the following stress field: oxx = -Gb 2(1-v)r Tyy Oxy = = -sine (2+ cos 20) Gb 2(1-v)r Gb 2(1-v)r sin 8 cos 20 - cos 0 cos 20 -Gbv Ozz = sin 8 (1-v)r where r is the distance from the dislocation core and 9 is the angle measured counterclockwise from the +x axis. In the following problems, you will plot the stress as a function of position along the dotted line shown above, i.e. as a function of x, at a constant y = h. (To convert from polar coordinates to Cartesian coordinates, remember that r = x + y sine, and cos 8 = =) = T 7 Determine (a) The glide component of the force that Dislocation 1 applies to Dislocation 2 as a function of their relative horizontal position x (b) The external shear stress, _xy, that would need to be applied to cause Dislocation 2 to overcome this force and glide past Dislocation 1, from x = - to +. T