1. plot (gamma, Ex):
clc
clear all
%% inputs
%modulus of elasticity (GPa)
Em=3.4; Ef=72.345;
%thermal expansion coefficient (/c)
alpham=54*10^-4; alphaf=-0.9*10^-4;
%poisson's ratio
neum=0.38; neuf=0.22;
%%shear modulus (GPa)
Gm=Em/(2*(1+neum)); Gf=Ef/(2*(1+neuf));
%volume fraction
Vf=0.5; Vm=1-Vf;
theta(1)=0; theta(2)=90; theta(3)=45; theta(4)=theta(3);
theta(5)=theta(2);
theta(6)=theta(1);
z(1)=0; z(2)=1; z(3)=3; z(4)=6; z(5)=9; z(6)=11; z(7)=12;
%% outputs
E1=Vf*Ef+Vm*Em;
E2=(Em*Ef)/(Vm*Ef+Vf*Em);
alpha1=(Vf*Ef*alphaf+Vm*Em*alpham)/(Vf*Ef+Vm*Em);
alpha2=Vm*alpham+Vf*alphaf;
G12=(Gm*Gf)/(Vf*Gm+Vm*Gf);
neu12=Vf*neuf+Vm*neum;
delta=1-(((neu12)^2)*(E2/E1));
Q=[(E1/delta) ((neu12*E2)/delta) 0; ((neu12*E2)/delta) (E2/delta) 0; 0
0 G12];
t(1)=z(7)-z(6);
t(2)=z(6)-z(5);
t(3)=z(5)-z(4);
t(4)=t(3);
t(5)=t(2);
t(6)=t(1);
t_total=2*t(1)+2*t(2)+2*t(3);

2. t_theta1=t(1)+t(6);
t_theta2=t(2)+t(5);
t_theta3=t(3)+t(4);
A=zeros(3);
B=zeros(3);
D=zeros(3);
alpha=0:0.1:1;
gamma=0:0.1:1;
beta=0;
for i=1:1:6
for L=1:length(alpha)
for j=1:1:length(gamma)
C(i)=cosd(theta(i)) ;
S(i)=sind(theta(i));
T(:,:,i)=[(C(i)^2) (S(i)^2) (2*S(i)*C(i)); (S(i)^2) (C(i)^2) (-
2*S(i)*C(i)); (-C(i)*S(i)) (S(i)*C(i)) ((C(i)^2)-(S(i)^2))];
Q_bar(:,:,i)=inv(T(:,:,i))*Q*T(:,:,i);
if i==1|i==6
a(:,:,i)=Q_bar(:,:,i)*((alpha(L)*t_total)/2);
b(:,:,i)=Q_bar(:,:,i)*((alpha(L)*t_total)/2)*(z(i+1)+z(i));
d(:,:,i)=Q_bar(:,:,i)*(((alpha(L)*t_total)/2)^3+3*(z(i+1)^2*z(i)-
z(i+1)*z(i)^2));
end
if i==2|i==5
a(:,:,i)=Q_bar(:,:,i)*((beta*t_total)/2);
b(:,:,i)=Q_bar(:,:,i)*((beta*t_total)/2)*(z(i+1)+z(i));
d(:,:,i)=Q_bar(:,:,i)*(((beta*t_total)/2)^3+3*(z(i+1)^2*z(i)-
z(i+1)*z(i)^2));
end
if i==3|i==4
a(:,:,i)=Q_bar(:,:,i)*((gamma(j)*t_total)/2);
b(:,:,i)=Q_bar(:,:,i)*((gamma(j)*t_total)/2)*(z(i+1)+z(i));
d(:,:,i)=Q_bar(:,:,i)*(((gamma(j)*t_total)/2)^3+3*(z(i+1)^2*z(i)-
z(i+1)*z(i)^2));
end
A(:,:,i)=zeros(3)+a(:,:,i);
B(:,:,i)=zeros(3)+b(:,:,i);
D(:,:,i)=zeros(3)+d(:,:,i);
Ex(j)=((A(1,1)*A(2,2))/(t_theta3*A(2,2)))-
(((A(1,2).^2)*gamma(j))/(t_theta3*A(2,2)));
neuxy(j)=A(1,2)/A(2,2);
Gxy(j)=(gamma(j)*A(3,3))/t_theta3;
Exb(j)=(gamma(j)^3*12*(D(1,1)*D(2,2)-D(1,2).^2))/(D(2,2)*t_theta3.^3);
neuxyb(j)=D(1,2)/D(2,2);
end
plot (gamma, Ex)
hold on
grid on
xlabel('gamma')
ylabel('Ex')
end
end