Problem 2776. Rule of mixtures (composites) - lower and upper bounds
The rule of mixtures is used in the mechanical design of composite structures to estimate the elastic modulus (Ec) based on the following properties:
Ef: elastic modulus of the fiber material Em: elastic modulus of the matrix material ff or fm: volume fraction of the fiber or matrix material (ff = 1 – fm)
Based on these values, the lower-bound estimate of elastic modulus is calculated by:
Ec = 1 / (ff / Ef + (1 – ff) / Em).
On the other hand, the upper-bound (linear) estimate of elastic modulus is calculated by:
Ec = ff * Ef + (1 – ff) * Em.
Write a function to calculate both bounds for various values. Also, return the difference between the modulus estimates and the ratios of this difference to both moduli estimates.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers67
Suggested Problems
-
681 Solvers
-
298 Solvers
-
Celsius to Fahrenheit converter
605 Solvers
-
Rule of mixtures (composites) - weighted bound
71 Solvers
-
Finding perimeter of a rectangle
452 Solvers
More from this Author139
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!