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 Solvers69
Suggested Problems
-
40528 Solvers
-
middleAsColumn: Return all but first and last element as a column vector
599 Solvers
-
Find the dimensions of a matrix
512 Solvers
-
Rule of mixtures (composites) - either bound
58 Solvers
-
Convert from Fahrenheit to Celsius
22610 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!