Composite Plate Bending Analysis With Matlab Code Link

[ D_{11} \frac{\partial^4 w}{\partial x^4} + 2(D_{12}+2D_{66}) \frac{\partial^4 w}{\partial x^2 \partial y^2} + D_{22} \frac{\partial^4 w}{\partial y^4} = q(x,y) ]

dx2 = dx^2; dy2 = dy^2; kxx = (w(i_center-1,j_center) - 2 w(i_center,j_center) + w(i_center+1,j_center)) / dx2; kyy = (w(i_center,j_center-1) - 2 w(i_center,j_center) + w(i_center,j_center+1)) / dy2; kxy = (w(i_center-1,j_center-1) - w(i_center-1,j_center+1) - w(i_center+1,j_center-1) + w(i_center+1,j_center+1)) / (4 dx dy); Composite Plate Bending Analysis With Matlab Code

strain_global_bot = [kxx; kyy; 2*kxy] * z_bot; stress_global_bot = Q_bar * strain_global_bot; stress_local_bot = T \ stress_global_bot; y) ] dx2 = dx^2

% 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; dy2 = dy^2

boundary_nodes = []; for i = 1:Nx for j = [1, Ny] boundary_nodes = [boundary_nodes, idx(i,j)]; end end for j = 2:Ny-1 boundary_nodes = [boundary_nodes, idx(1,j), idx(Nx,j)]; end boundary_nodes = unique(boundary_nodes);