There are many choices of grafting materials when considering revision rhinoplasty. Allografts are obtained from your own body and can include septal cartilage grafts, ear cartilage grafts, and rib cartilage grafts. Sometimes donor rib cartilage from a cadaver (that has been irradiated) may be used as well. Foreign material (implants) are also available in silicone/sialastic, ePTFE (Goretex), and medpor.
Each material has its advantages and disadvantages. I base my decisions on what is best for my patients on many factors. This includes, but is not limited to your age, what kind of grafting is necessary, where the grafting needs to be performed, and your preference/expectations/desires.
Remember that not all surgeons perform rib cartilage grafts or some of these other grafts, and each surgeon will have their preference and their reasons for it. You should obtain several consultations in order to determine who and what you feel most comfortable with. Having this information will help you make an informed decision that is best for you.