It has been found that the critical current density J(c) in a multifil
amentary superconducting Nb-Ti wire first increases and then reaches a
peak, while the critical temperature decreases monotonically as the s
uperconducting filament diameter is decreased by drawing to the submic
rometre range. This behaviour originates from a variation in the morph
ology of the normal alpha-Ti phase precipitated during heat treatment,
coupled with the proximity effect between the superconducting matrix
and normal alpha-Ti. In this paper the elementary pinning force f(p) o
f alpha-Ti ribbons is theoretically estimated for idealized multilayer
s of superconducting and normal regions, and J(c) is calculated from a
statistical summation of the elementary pinning interactions. The the
oretical result predicts that J(c) increases monotonically with drawin
g, owing to the increase in density of pin points, in spite of the dec
rease in f(p). The reason for the observed degradation of J(c) is disc
ussed.