Do you want to study crack growth or damage tolerance in general? I'm going to assume the broader topic of damage tolerance is what you are interested in.
I recently worked my way through the USAF Damage Tolerant Design Handbook (DTDH). I'd say it is very thorough but also repetitious and reads like the USAF wrote it. This would probably be considered the classic reference on the subject. There are several different editions, a link to the latest is found below. I strongly recommend it but understand it might not be the ideal launch pad.
Schijve, J. "Fatigue of Structures and Materials" is also a very good book. I'd say this is probably what you are looking for.
Stephens, R. "Metal Fatigue in Engineering" is a good book in many ways as well but dwells more on the micro stuff.