The 'Roar' hitmaker split from the British comedian in December 2011 after 14 months of marriage.
The 28-year-old singer, who is now dating John Mayer, has opened up about the split in the tracks 'Ghost' and 'By The Grace of God' on her upcoming album 'Prism', reported Us magazine.
"That song is evident of how tough it really was at a certain point. I asked myself, 'Do I want to endure? Should I continue living?' All the songs are real-life moments.
The beauty, whose new album will be released on October 18, recently sold the USD 6.5 million West Hollywood, California, marital home she shared with Brand.