Densities, elastic moduli, Vickers hardnesses, fracture toughnesses and fracture energies of Ca
3(PO
4)
2-Al
2O
3-SiO
2 glasses have been studied. Bulk, Young's and shear moduli were 55.26-62.19, 79.92-86.24 and 31.74-33.94GPa, respectively. If Ca
3(PO
4)
2 and Al
2O
3 contents were kept constant, elastic moduli of these glasses decreased with increasing mean atomic volumes. On the other hand, if SiO
2 contents were kept constant, there was an abnormal tendency that bulk modulus increased with increasing mean atomic volumes. If Ca
3(PO
4)
2 contents were kept constant, Young's modulus decreased with increasing mean atomic volumes. Furthermore, if SiO
2 or Al
2O
3 contents were kept constant, Young's elastic moduli increased with increasing mean atomic volumes. The elastic moduli of Ca
3(PO
4)
2-Al
2O
3-SiO
2 glasses (50-60% SiO
2, 20-30% Al
2O
3) were higher than those of CaO-P
2O
5-SiO
2 (0-15% SiO
2) and CaO-P
2O
5-Al
2O
3 (0-7% Al
2O
3) which have been reported in the previous papers, and close to those of silicate glasses containing 50-60% SiO
2. Vickers hardness was 510-580kg/mm
2 and larger than that of CaO-P
2O
5-SiO
2 and CaO-P
2O
5-Al
2O
3 glasses. The hardness increased with substitution of Al
2O
3 or SiO
2 for Ca
3(PO
4)
2. Al
2O
3 was the most effective component for increasing the hardness of these glasses. Fracture toughness and fracture energy were 0.99-1.47MPa·m
1/2 and 5.6-12.2J/m
2, respectively, and decreased with increasing Ca
3(PO
4)
2 contents. It is estimated that fracture toughness and fracture energy of glasses related to the number of weak bonds. The weak bonds in Ca
3(PO
4)
2-Al
2O
3-SiO
2 glasses are Ca-O bond, and Si-O bond in P-O-Si bond. Because the number of these weak bonds increase with increasing Ca
3(PO
4)
2 contents, fracture toughness and fracture energy decreased with increasing Ca
3(PO
4)
2 contents.
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