The phrase "a further barrier" is correct and usable in written English.
It can be used when discussing additional obstacles or challenges that may impede progress or success in a particular context.
Example: "The new regulations create a further barrier to entry for small businesses trying to compete in the market."
Alternatives: "an additional obstacle" or "a subsequent hindrance."
For the small-building owner, a further barrier against prodigal wealth is debt service.
The misconception that only children and parents are equipped to evaluate children's theatre presents a further barrier.
One Oxbridge admissions tutor admitted to me that such testing may add a further barrier to people from state schools.
The vice-chancellor, Barney Glover, said the changes to student loan arrangements, combined with potentially large increases in fees, "may provide a further barrier or disincentive for students from lower socioeconomic backgrounds considering tertiary study".
It's difficult to buy public-adminstered housing in Singapore unless you're married or over 35, which presents a further barrier on top of the high cost of dwellings in the city.
It may seem curious to ask indebted governments to pay citizens to live on the dole in another country, yet increased employment should eventually result, as those who move find work.Professional qualifications act as a further barrier to movement across borders.
Moreover, it can be assumed that corneocytes containing RNase 7, HBD-3 and psoriasin are trapped in the vernix and, in addition to the physical barrier, provide a further chemical barrier to prevent perinatal skin infection.
In addition to the barrier properties of the mouth's salivary film noted above, the outer layer of the oral cavity epithelium, being composed of keratin and subject to continuous sloughing, is a further physical barrier to α- and β-particles.
A further physical barrier was also observed within the decoration of the floors.
A further significant barrier reported in the EURIKA study was that risk assessment is of little use and, moreover the participants did not know how to use it.
Variation in use of family history questionnaires, for triage prior to genetic cancer risk assessment, appeared a further potential barrier to accessing cancer genetics services.
