"a growing pressure" is a grammatically correct phrase and can be used in written English.
It simply means an increasing or mounting feeling of pressure or tension. Example: As the deadline for the project approached, she felt a growing pressure to finish it on time.
In our post-downturn economy, there is a growing pressure to be realistic.
Thus, the central European Celts and Illyrians found themselves under a growing pressure.
There is a growing pressure on corporations to streamline operations involving multi-site development.
Currently there is a growing pressure on energy efficiency for new buildings in the UK and worldwide.
Combined with the demand on output – less time, more images – and a growing pressure to please advertisers, the process started to become less creative and more prescriptive.
There are tens of millions of contaminated soil sites in the world, and with an increasing population and associated risk there is a growing pressure to remediate them.
Worse still, as a result of growing pressure for a referendum within the Labour movement, supporters of the constitution have started arguing they don't have opt outs after all.
It's not like blowing off a meeting or a class and feeling the freedom of rebellion; it's a feeling of growing pressure — of knowing we'll have to deal eventually with whatever it is we're putting off.
Observers said that Eta's statement was a reaction to growing pressure from its grassroots supporters to abandon arms.
This will provide huge opportunities for new green industries – much of it is necessary in a world facing growing pressure on resources.
But Mr. Ewanick's departure was more sudden, a sign of growing pressure on G.M.'s leadership team to improve the company's performance.
