Mitigating the weak-link behavior at grain boundaries, which limits cr
itical current density (J(c)) in polycrystalline high-transition-tempe
rature (high-T-c) superconducting materials, is required for all appli
cations in magnetic fields. Although in general oxide superconductors
in polycrystalline form have very poor in-field J(c), conductors conta
ining the bismuth-based compounds Bi2Sr2CaCu2O8 (Bi-2212) and Bi2Sr2Ca
2Cu3O10 (Bi-2223) are very important exceptions. Long-range, strongly
linked conduction has been demonstrated in just two additional polycry
stalline materials: TlBa2Ca2Cu3O10 (Tl-1223) deposits prepared by spra
y pyrolysis, and YBa2Cu4O8 (Y-124) conductor made by the oxidation of
metallic precursor method. Determining the characteristics of these ma
terials that permit strongly linked conduction is of critical importan
ce to the development of better conductors. Models of strongly linked
polycrystalline conductors are reviewed. Recent studies reveal that sm
all-angle boundaries are present in much higher numbers than expected
from calculations based on macroscopic texture, indicating a strong in
fluence of grain boundary energy. It is proposed that strongly linked
current flows through a connected network of low energy grain boundari
es. Evidence has been obtained to support this model in Bi-2223, Y-124
and Tl-1223.