The elastic properties of infinite perfect periodic planar dislocation
walls are well known. It is however important to appreciate the effec
t of the departure from periodicity and the end effects for a finite w
all. A weak uncorrelated disorder is shown to result in a long range s
tress field decreasing as (distance)-3/2 from the wall, consequences a
re discussed. Convenient approximate closed formulae are given and dis
cussed for the stress field of bounded dislocation walls.