From Longman Dictionary of Contemporary Englishheave a sighheave a sighBREATHEto breathe in and then breathe out noisily and slowly once Rebecca heaved a sigh of relief. → heave
Examples from the Corpus
heaved a sigh of relief• But the country's 150m neglected tenants heaved a sigh of relief.• However, as far as the retailers' 1992/93 profits are concerned, they have heaved a sigh of relief.• When Tom Hanks passed on the news that evening on his way home, Seb heaved a sigh of relief.• Elizabeth heaved a sigh of relief upon reaching Aumery Park Farm.• We heaved a sigh of relief when it was over. 