E (upper) = E,m Vm + E, Vp EmEp Vm Ep + VpEm %3D The mechanical properties of aluminum may be improved by incorporating fine particles of aluminum oxide (Al,0,). Given that the moduli of elasticity of these respectively, 69 GPa and 393 GPa, plot the modulus of elasticity versus the volume percent of Al,0, in Al from 0 to 100 vol.%, using both E (lower) = materials are, 55 350 50 300 45 40 250 Upper bolund 35 upper- and lower-bound 200 30 Lower bound expressions. 25 150 -20 15 100 20 40 60 80 Tungsten concentration (vol%) Madulus of elaaticity (GPa) Modulas af elasticity (10 ps)

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E.(upper) = Em Vm + EpVp
Em Ep
Vm Ep + VpEm
The mechanical properties of aluminum may
be improved by incorporating fine particles of
aluminum oxide (Al,O,). Given that the moduli
elasticity of these
respectively, 69 GPa and 393 GPa, plot the
modulus of elasticity versus the volume
percent of Al,0, in Al from 0 to 100 vol.%,
using both
E (lower) =
%3D
of
materials
are,
55
350
50
300
45
40
250
Upper bound
35
upper-
and
lower-bound
200
30
Lower bound
expressions.
150
25
20
15
100
20
40
60
80
Tungsten concentralion (vol%)
Madulus of elaticty (GPa
Modulus of elasticity (10 ps)
Transcribed Image Text:E.(upper) = Em Vm + EpVp Em Ep Vm Ep + VpEm The mechanical properties of aluminum may be improved by incorporating fine particles of aluminum oxide (Al,O,). Given that the moduli elasticity of these respectively, 69 GPa and 393 GPa, plot the modulus of elasticity versus the volume percent of Al,0, in Al from 0 to 100 vol.%, using both E (lower) = %3D of materials are, 55 350 50 300 45 40 250 Upper bound 35 upper- and lower-bound 200 30 Lower bound expressions. 150 25 20 15 100 20 40 60 80 Tungsten concentralion (vol%) Madulus of elaticty (GPa Modulus of elasticity (10 ps)
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