Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The volume fraction of particles in a WC-particle Cu-matrix CERMET is 0.84 Calculate the minimum expected elastic modulus, in GPa, of this particle reinforced composite. The moduli of the two components are 682 GPa and 110 GPa, respectively. Use what you know about these composite phases to discern which modulus is which.

Sagot :

nuhulawal20

Answer:

the minimum expected elastic modulus is 372.27 Gpa

Explanation:

First we put down the data in the given question;

Volume fraction [tex]V_f[/tex] = 0.84

Volume fraction of matrix material [tex]V_m[/tex] = 1 - 0.84 = 0.16

Elastic module of particle [tex]E_f[/tex] = 682 GPa

Elastic module of matrix material [tex]E_m[/tex] = 110 GPa

Now, the minimum expected elastic modulus will be;

[tex]E_{CT[/tex] = ([tex]E_f[/tex] × [tex]E_m[/tex] ) / ( [tex]E_f[/tex][tex]V_m[/tex]  + [tex]E_m[/tex] [tex]V_f[/tex]  )

so we substitute in our values

[tex]E_{CT[/tex] = (682 × 110 ) / ( [ 682 × 0.16 ]  + [ 110 × 0.84] )

[tex]E_{CT[/tex] = ( 75,020 ) / ( 109.12 + 92.4 )

[tex]E_{CT[/tex] = 75,020 / 201.52

[tex]E_{CT[/tex] = 372.27 Gpa

Therefore, the minimum expected elastic modulus is 372.27 Gpa

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.