Matlab Code — Composite Plate Bending Analysis With

fprintf('D Matrix (N.m):\n'); disp(D);

Similarly for ( \partial^4 w/\partial y^4 ) and mixed derivative:

[ w(x,y) = w_0 \sin\left(\frac\pi xa\right) \sin\left(\frac\pi yb\right) ] [ w_0 = \fracq_0\pi^4 \left[ D_11\left(\frac1a\right)^4 + 2(D_12+2D_66)\left(\frac1a^2 b^2\right) + D_22\left(\frac1b\right)^4 \right] ] Composite Plate Bending Analysis With Matlab Code

When you run the code, you’ll get:

fprintf('%d\t %3d\t %.1f\t %.1f\t %.1f\n', ... i, theta, sigma_mat(1)/1e6, sigma_mat(2)/1e6, sigma_mat(3)/1e6); fprintf('D Matrix (N

fprintf('\nCentral deflection: %.4f mm\n', w0*1000);

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); fprintf('D Matrix (N.m):\n')

We use a 4-node rectangular element. Each node has three degrees of freedom (DOFs):