Large-scale applications of high-temperature superconductors require large
critical current density J(c). The limit of utilization is determined by th
e practical resistivity criterion and the current-voltage characteristic of
a superconductor which is highly nonlinear in these materials, Various mod
els with different barrier-current dependencies U(J) have been developed to
describe the flux motion in them but questions still remain. We show that
these models may be unified to a general materials equation which gives a c
onsistent description of different regimes of flux motion, We compare this
equation with recent pertinent experiments and find fair agreements.