The mechanical properties of aluminum may be improved by incorpo

The mechanical properties of aluminum may be improved by incorporating fine particles of aluminum oxide (Al2O3). Given that the moduli of elasticity of these materials are, respectively, 69 GPa (10 ( 106 psi) and 393 GPa (57 ( 106 psi), plot modulus of elasticity versus the volume percent of Al2O3 in Al from 0 to 100 vol%, using both upper- and lower-bound expressions.