ME412-Quiz 4-1_Sp20-1
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California Polytechnic State University, San Luis Obispo *
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Course
412
Subject
Mechanical Engineering
Date
Apr 3, 2024
Type
Pages
5
Uploaded by JusticeJaguar4146
Quiz 4-1
Write a computer program using
MATLAB
to calculate the mechanical behavior of
unidirectional lamina of a Graphite/Epoxy composite materials for the following:
1.
Elastic Moduli (
E
1
, E
2
, G
12
, and
n
12
)
The properties are given for the fiber and matrix in the following table. Use the rule-of-
mixtures micromechanics equations.
Use MATLAB only to the following:
A.
Plot the graph for each of the elastic moduli (E
1
, E
2
, G
12
, and
n
12
) as a function of
fiber volume fraction from 5 to 95% using increments of 5. Note x-axis will be the
volume fraction.
1.
Please label all the titles, axes and add the legend names for each curve.
2.
Please organize your output as shown in the given example below for
questions A.
3.
Submit, on Poly Learn, your MATLAB code as (.m) file and your output results
as a pdf file showing the code, results, and graphs.
4.
Please add comments inside your MATLAB file. See the example shown
below. I will need to run your MATLAB code and check your output results.
%% file name
% Input variables
% rhof=
r
v
density of fiber
% rhom=
r
m
density of matrix
% Vf=fiber volume fraction
% Output variables % rohc_1=density of composite_1
%% Inputs
rhof=2500; rhom=1200;
fprintf('\nFiber Density: %g ',rhof)
fprintf('\nMatrix Ensity: %g ',rhom)
% Testing for a particular Vf and Input desired Vf
Vf=0.6;
% Call function: beta_micro
[rhoc_1]=Rhoc_composite_1(rhof,rhom,Vf);
% Results for a particular Vf
fprintf('\n\nFiber Volume Fraction: %G\n\n',Vf)
disp('Density of Composite_1')
disp('___________________________')
fprintf('\n rohc_1 | %G\n\n\n\n',rhoc)
% Table of Rohc_1 of a Unidirectional Lamina as a Function of Fiber Volume Fraction
for i=1:1:11
Vf(i)=i/10-0.1;
rhoc_1(i)=Rhoc_composite_1(rhof,rhom,Vf(i));
end
% continue % Table of results
disp('Density of Composite_1')
disp('________________________________')
disp(' Vf
| rohc
')
for i=1:1:11
fprintf(' %3.2f | g\n',Vf(i),rhoc_1(i))
End
% Graph of Density of a Unidirectional Lamina as a Function of Fiber Volume Fraction
for i=1:1:101
Vf(i)=i/100-0.01;
rhoc_1(i)=Rhoc_composite_1(rhof,rhom,Vf(i));
end
hold on
plot(Vf,rhoc,'LineWidth',2)
grid
legend('rohc')
title('Density of Composite_1 vs. Fiber Volume Fraction')
xlabel('Fiber Volume Fraction')
ylabel('Density of Composite_1')
hold off
% Function name
for composite unidirectional lamina_1
% Rhoc_composite_1
rhoc_1=rhof*Vf+rhom*(1-Vf);
End
Example for MATLAB
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Example for Outputs Results for Elastic Moduli
Example for Outputs Results for Elastic Moduli for one composite materials lamina
Example for graphs Outputs
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