I’ve used PC Inspector File Recovery 4.x. to recover lost or damages files in the past.  The software was very easy to use and did the job.  It’s Freeware, so you can download it directly from the web.
PC Inspector File Recovery 4.x is a data recovery program that supports the FAT 12/16/32 and NTFS file systems. 
The link below will direct you to the PC Inspector site, where you can view additional information or download a copy for yourself.

Verification Source: In-house testing.