[ \beginBmatrix \mathbfN \ \mathbfM \endBmatrix = \beginbmatrix \mathbfA & \mathbfB \ \mathbfB & \mathbfD \endbmatrix \beginBmatrix \boldsymbol\epsilon^0 \ \boldsymbol\kappa \endBmatrix ]
%% Step 4: Loop over each ply for i = 1:num_plies theta = layup_angles(i); % ply angle in degrees m = cosd(theta); n = sind(theta); Composite Plate Bending Analysis With Matlab Code
% Interior points for i = 3:Nx-2 for j = 3:Ny-2 n = idx(i,j); % w_xxxx K(n, idx(i-2,j)) = K(n, idx(i-2,j)) + c1; K(n, idx(i-1,j)) = K(n, idx(i-1,j)) - 4 c1; K(n, idx(i,j)) = K(n, idx(i,j)) + 6 c1; K(n, idx(i+1,j)) = K(n, idx(i+1,j)) - 4 c1; K(n, idx(i+2,j)) = K(n, idx(i+2,j)) + c1; % w_yyyy K(n, idx(i,j-2)) = K(n, idx(i,j-2)) + c3; K(n, idx(i,j-1)) = K(n, idx(i,j-1)) - 4 c3; K(n, idx(i,j)) = K(n, idx(i,j)) + 6 c3; K(n, idx(i,j+1)) = K(n, idx(i,j+1)) - 4 c3; K(n, idx(i,j+2)) = K(n, idx(i,j+2)) + c3; % w_xxyy K(n, idx(i-1,j-1)) = K(n, idx(i-1,j-1)) + c2; K(n, idx(i-1,j)) = K(n, idx(i-1,j)) - 2 c2; K(n, idx(i-1,j+1)) = K(n, idx(i-1,j+1)) + c2; K(n, idx(i,j-1)) = K(n, idx(i,j-1)) - 2 c2; K(n, idx(i,j)) = K(n, idx(i,j)) + 4 c2; K(n, idx(i,j+1)) = K(n, idx(i,j+1)) - 2 c2; K(n, idx(i+1,j-1)) = K(n, idx(i+1,j-1)) + c2; K(n, idx(i+1,j)) = K(n, idx(i+1,j)) - 2*c2; K(n, idx(i+1,j+1)) = K(n, idx(i+1,j+1)) + c2; n = sind(theta)