In particular, the present invention relates to Ti-15 Al-33Nb and Ti-21 Al-29 Nb alloys for biomedical applications. (2) Description of the Related Art Erosive bone diseases, such as osteoporosis, periodontitis, rheumatoid arthritis, hypercalcemia of malignancy and aseptic loosening, are a growing medical problem which can lead to the need for replacement surgery with bone-replacement materials.