A large-particle composite consisting of tungsten particles within a copper matrix is to be prepared. If the volume fractions of tungsten and copper are 0.90 and 0.10, respectively, estimate the upper limit for the specific stiffness of this composite given the data that follow. Specific Gravity Modulus of Elasticity (GPa)
Copper 8.9 110
Tungsten 19.3 407

Respuesta :

Answer:

Specific stiffness=37.95 GPa

Explanation:

Given that

Volume fraction of tungsten V₁ = 0.9

Volume fraction of copper Ā Vā‚‚ = 0.1

Specific gravity for tungsten S₁ = 19.3

Specific gravity for copper Sā‚‚= 8.9

Modulus of Elasticity for Ā tungsten E₁= 407 GPa

Ā Modulus of Elasticity for Ā copper Eā‚‚ = 110 GPa

Ā Modulus of Elasticity for mixture

E= E₁V₁+Eā‚‚Vā‚‚

E = 110 x 0.1 + 407 x 0.9 GPa

E=377.3 GPa

Specific gravity for mixture

S= S₁V₁+Sā‚‚Vā‚‚

S = 19.3 x 0.1 + 8.9 x 0.9

S=9.94

Specific stiffness K

[tex]K=\dfrac{E}{S}[/tex]

[tex]K=\dfrac{377.3}{9.94}[/tex]

K=37.95 GPa

Specific stiffness=37.95 GPa