Using the information provided, 19.65 GPa is the maximum specific stiffness of the composite that can be calculated.
We provide;
Copper has a specific gravity of _cu = 8.9.
Tungsten has a specific gravity of 19.3 (_tu).
Copper's elasticity modulus is 110 GPa.
E tu = 407 GPa is the tungsten's elasticity modulus.
Tungsten volume fraction: V tu = 0.7
Copper volume percent, V cu = 0.3
1) The maximum rigidity permitted;
Let's use the formula to determine the modulus of elasticity's maximum value;
E u is equal to (E cu V cu) plus (E tu V tu).
E u = (110 × 0.3) + (407 × 0.7)
E u = 317.9 GPa
The formula yields an upper bound for the specific gravity;
(_cu V cu) + (_tu V tu) = _u
ρ u = (8.9 × 0.3) + (19.3 × 0.7)
ρ u = 16.18
E/u = Specific stiffness
Stiffness specific = 317.9/16.18
Specific stiffness upper limit = 19.65GPa
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