bc_dofs = []; for iy = 1:ny for ix = 1:nx node = (iy-1) nx + ix; if ix == 1 || ix == nx || iy == 1 || iy == ny bc_dofs = [bc_dofs, 3 (node-1)+1]; % w=0 at boundary end end end
% Contribution to bending stiffness D zk = z_coords(k+1); zk_1 = z_coords(k); D = D + (1/3) * Q_bar * (zk^3 - zk_1^3); end Composite Plate Bending Analysis With Matlab Code
% Find center deflection center_x = floor(nx/2)+1; center_y = floor(ny/2)+1; w_center_FEM = W(center_x, center_y); bc_dofs = []; for iy = 1:ny for
% In practice, you can use the MITC4 element for plates. % Here we output a dummy B and detJ for completeness. Plot Deflection Surface figure; surf(X, Y, W'); xlabel('x
% Assemble into global matrix dof_map = zeros(1,12); for inode = 1:4 global_node = nodes(inode); dof_map(3*(inode-1)+1) = 3*(global_node-1) + 1; % w dof_map(3*(inode-1)+2) = 3*(global_node-1) + 2; % theta_x dof_map(3*(inode-1)+3) = 3*(global_node-1) + 3; % theta_y end K_global(dof_map, dof_map) = K_global(dof_map, dof_map) + Ke; F_global(dof_map) = F_global(dof_map) + Fe; end
%% 9. Plot Deflection Surface figure; surf(X, Y, W'); xlabel('x (m)'); ylabel('y (m)'); zlabel('Deflection (m)'); title('Composite Plate Bending Deflection'); colormap(jet); colorbar; view(120,30); grid on;
The moment-curvature relation: