How can I fix this error?

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Anita Burns
Anita Burns 2024-4-3
评论： Voss 2024-4-4
%Compute stresses through the thickness of a laminate
%Read in number of layers
num_layers=input('Enter the number of layers: ');
%Read in material properties
E_L=input('Enter longitudinal modulus E_L [GPa]: ');
E_T=input('Enter transverse modulus E_T [GPa]: ');
G_LT=input('Enter shear modulus G_LT [GPa]: ');
v_LT=input('Enter Poisson"s Ratio v_LT: ');
thickness=input('Enter lamina thickness: ');
%Compute Q
Q=calculate_Q(E_L,E_T,G_LT,v_LT);
%Givin mid-plane strains and curvatures
%Format: [εx,εy,γxy, κx, κy]
epsilon_x=input('Enter εx: ');
epsilon_y=input('Enter εy: ');
gamma_xy=input('Enter γxy: ');
kappa_x=input('Enter κx: ');
kappa_y=input('Enter κy: ');
mid_plane_data=[epsilon_x, epsilon_y, gamma_xy, kappa_x, kappa_y];
%Compute stresses for each layer
top_bottom_stresses = cell(num_layers, 2);
for i = 1:size(mid_plane_data, 1)
data = mid_plane_data(i,:);
strain = data(1:3)';
curvature = data(4:5)';
% Compute S matrix
S = (Q)^-1;
% Compute strain due to curvature
strain_due_to_curvature = S .* curvature .* thickness / 2;
% Compute total strain at top and bottom
total_strain_top = strain + strain_due_to_curvature;
total_strain_bottom = strain - strain_due_to_curvature;
% Compute stress at top and bottom
stress_top = Q .* total_strain_top;
stress_bottom = Q .* total_strain_bottom;
top_bottom_stresses{i,1} = stress_top;
top_bottom_stresses{i,2} = stress_bottom;
end
%Display Results
fprintf('\nStress Values (in MPa):\n');
fprintf('%-10s %-10s %-10s %-10s %-10s %-10s %-10s\n', 'Layer', ...
'σx_top', 'σy_top', 'τxy_top', 'σx_bottom', 'σy_bottom', ...
'τxy_bottom');
for i=1:num_layers
stress_top=top_bottom_stresses{i,1};
stress_bottom=top_bottom_stresses{i,2};
fprintf('%-10d %-10.2f %-10.2f %-10.2f %-10.2f %-10.2f %-10.2f\n',i,stress_top(1), ...
stress_top(2),stress_top(3),stress_bottom(1),stress_bottom(2), ...
stress_bottom(3));
end
%Plot stress variations through thickness
layer_thickness=0:thickness:(num_layers*thickness);
figure;
hold on;
for i=1:num_layers
stress_top=top_bottom_stresses{i,1};
stress_bottom=top_bottom_stresses{i,2};
plot([stress_top(1),stress_bottom(1)], [layer_thickness(i), layer_thickness(i)],'r-');
plot([stress_top(2),stress_bottom(2)], [layer_thickness(i), layer_thickness(i)],'b-');
plot([stress_top(3),stress_bottom(3)], [layer_thickness(i), layer_thickness(i)],'g-');
end
hold off;
xlabel('Stress [MPa]');
ylabel('Thickness [m]');
title('Stress Variation through Thickness of Laminate');
legend('σx', 'σy', 'τxy');
grid on;
%Function to compute Q matrix
function Q=calculate_Q(E_L,E_T,G_LT,v_LT)
Q=zeros(3,3);
Q(1,1)=E_L/(1-v_LT^2);
Q(1,2)=v_LT*E_T/(1-v_LT^2);
Q(2,1)=Q(1,2);
Q(2,2)=E_T/(1-v_LT^2);
Q(3,3)=G_LT;
end
OUTPUT:
Enter the number of layers: 4
Enter longitudinal modulus E_L [GPa]: 38.60
Enter transverse modulus E_T [GPa]: 8.27
Enter shear modulus G_LT [GPa]: 4.14
Enter Poisson"s Ratio v_LT: 0.26
Enter lamina thickness: 0.002
Enter εx: 0.05
Enter εy: 0.00
Enter γxy: 0.00
Enter κx: 0
Enter κy: 0
Arrays have incompatible sizes for this operation.
Error in Project1 (line 40)
strain_due_to_curvature = S .* curvature .* thickness / 2;
Related documentation
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Anita Burns
Anita Burns 2024-4-4
I've got it figured out. Thank you for your help!

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