A model which describes a low-field anomaly in the M-H loops of compos
ite superconductors has been developed. Corresponding calculations wer
e applied to the anomaly as it occurs in a composite system composed o
f NbTi filaments in a proximity-effect coupled matrix. The use of this
system has allowed a very clear and unambiguous separation of the mag
netization contributions of 'strong' (S) and 'weak' (W) superconductin
g elements. The low field anomaly, in the form of a difference between
the shielding- and trapping-branch critical current densities (J(c))
for the W-phase, and hence an asymmetric magnetization loop, takes pla
ce when the magnetization currents in the W-phase become influenced by
the density of trapped flux in the S-phase. Comparison of theory and
experiment gives values for the W-region J(c) which are in general agr
eement with those derived from the results of more conventional measur
ements. (C) 1998 Published by Elsevier Science B.V. All rights reserve
d.