Zero-field-cooled (ZFC) and field-cooled (FC) magnetic properties of strip-
like Josephson-junction (JJ) arrays with very strong demagnetizing effects
are calculated from basic laws. Similar to slab-like JJ arrays without cons
idering demagnetizing effects, a vortex state evolves to a critical state (
CS) with increasing maximum JJ currents in the ZFC case, and a vortex state
always remains with a negative low-field susceptibility in the FC case. Ho
wever, the strong demagnetizing effects cause qualitative changes in the CS
, where the overall feature of the field and current profiles turns out to
be similar to that in type-II superconducting strips, but not like the ordi
nary Bean CS in slab-like JJ arrays, the CS current profile is never flat a
nd the critical current is no longer a step function of the maximum JJ curr
ent as in slab-like JJ arrays. The calculated results of different types of
JJ arrays indicate that although the intergranular CS in granular supercon
ductors may have a common origin, the discovered paramagnetic Meissner effe
ct in them is still difficult to explain.