Problem 2779. Rule of mixtures (composites) - weighted bound
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 the weighted Ec between both bounds, based on the provided weighting (wt) of the upper bound. (The lower bound will have the remainder of the weighting, or 1–wt.)
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers63
Suggested Problems
-
Vectorize the digits of an Integer
312 Solvers
-
Calculate the height of an object dropped from the sky
228 Solvers
-
Remove element(s) from cell array
1351 Solvers
-
Find the Nth Root of a Given Number
295 Solvers
-
Matlab Basics - Absolute Value
591 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!