Bane acts just like the previous disfigured Joker henchman. He will rip chunks of stone from the wall at you, charge at you, and, when you are close, pound you.
When he throws chunks of the wall (or fallen enemies) simply tilt your stick in any direction and tap A twice. This will cause Batman to dodge the projectile.
When bane charges, similar to the disfigured henchman, quick throw a batarang and you will see Bane cover his face and the game will appear to slow down a bit. At this time dodge out of the way using the method mentioned above. Pound on him until he comes around, or dispatch of the other henchmen coming down.
If I recall correctly, after three times of this attack method, you will have defeated Bane. Keep this tactic in mind, you will need it...