The phrase "abrasive personality" is correct and usable in written English.
It can be used to describe someone whose manner or behavior is harsh, aggressive, or overly blunt, often causing discomfort to others.
Example: "While he is very knowledgeable, his abrasive personality often alienates his colleagues."
Alternatives: "harsh demeanor" or "grating character".
In 2012, Becky Cunningham of Cheat Code Central ranked her as the fourth top ninja in video games, stating that despite her "cocky, brash, and slightly abrasive personality," Yuffie is "also a compassionate person with an impressive goal," serving "as both comic relief and unlikely hero, a seemingly self-centered sneak thief who always does the right thing in the end".
Her smile draws customers to the table, and once they are there she can gently tease a shy person into conversation or draw guffaws from an abrasive personality with a crude joke.
"Shirley had a very abrasive personality," Josh Phelps said.
Some people even liked the sound of his abrasive personality.
His abrasive personality caused many mincing middle managers to call him a bully.
He's probably brought a little bit of an abrasive personality with him.
Within Salomon's aggressive culture, his sometimes-abrasive personality was no drawback.
Mr. Clarke is known for his aggressive -- sometimes abrasive -- personality and for his willingness to bypass bureaucratic channels.
But Hugh was not, I'd say, as abrasive a personality".
The Mx. is a gender-neutral honorific invented by this proudly abrasive stage personality, who used to be Kiki DuRane, the alcoholic female half of the fictional lounge duo Kiki and Herb.
While it's probably true that he can be abrasive, if personality was a critical issue then Larry Summers would be handing out fish parts to penguins in Antarctica rather than a leading contender to be the next chair of the Federal Reserve Board.
