Problem 15.01 The mechanical properties of a metal may be improved by incorporat
ID: 927278 • Letter: P
Question
Problem 15.01
The mechanical properties of a metal may be improved by incorporating fine particles of its oxide. Given that the moduli of elasticity of the metal and oxide are, respectively, 61 GPa and 390 GPa, what is the (a) upper-bound, and (b) lower-bound modulus of elasticity values (in GPa) for a composite that has a composition of 77 vol% of oxide particles.
Problem 15.01
The mechanical properties of a metal may be improved by incorporating fine particles of its oxide. Given that the moduli of elasticity of the metal and oxide are, respectively, 61 GPa and 390 GPa, what is the (a) upper-bound, and (b) lower-bound modulus of elasticity values (in GPa) for a composite that has a composition of 77 vol% of oxide particles.
(a) GPa (b) GPaExplanation / Answer
a)when connected in series, the modulus is maximum
hence G= (0.77*390)+0.23*61
=314.33 GPa
b)
When connected in parallel, the modulus is minimum
or G=(0.77*390)*(0.23*61)/(0.77*390 + 0.23*61)
=13.4 GPa