Bane is a formidable villain in 'Batman The Dark Knight Rises'. He was born in the prison of Peña Duro. He was physically and mentally tough. He came to Gotham with a plan to destroy the city. He first broke Batman's back in a brutal fight, which left Batman incapacitated for a while. Bane aimed to bring chaos to Gotham by using the power of the nuclear reactor and also releasing the prisoners, creating anarchy in the city.
One great 'Batman and Bane Fanfiction' is 'The Redemption of Bane'. It shows a different side of Bane, exploring his possible path towards redemption. The author does a great job of delving into the complex relationship between Batman and Bane.
In the comics, Batman doesn't die at the hands of Bane. Bane is a powerful adversary, but Batman finds a way to overcome his challenges and live on to fight another day. Their confrontations are epic, but Batman's resilience prevails.
His past in the prison of Peña Duro was full of hardship. He had to fight for survival every day. This made him believe in a sort of 'survival of the fittest' ideology. In 'Batman The Dark Knight Rises', he applied this to Gotham. He thought Gotham was a corrupt place that needed to be 'cleansed' in his own brutal way. His past also made him highly disciplined and a great strategist, which he used to take over Gotham and try to destroy it.
Well, Bane achieves this by outsmarting and overpowering Batman. He uses his raw strength and strategic planning to inflict a severe injury that incapacitates the Dark Knight.
Batman defeats Bane through a combination of physical combat and mental tactics. He trains hard to improve his strength and endurance and then uses his knowledge of Bane's fighting style to gain the upper hand. Also, he sometimes gets help from his allies.