Composite Plate Bending Analysis With Matlab: Code

We assemble a sparse linear system ( [K] {w} = {f} ) and solve. Below is the complete code. It computes deflections, curvatures, and then stresses in each ply at Gauss points.

Boundary conditions (simply supported): [ w = 0,\quad M_{xx}=0 \Rightarrow \frac{\partial^2 w}{\partial x^2}=0 \text{ on } x=0,a ] (same for y-direction) Composite Plate Bending Analysis With Matlab Code

For interior node (i,j):

% Build coefficient matrix for D11 w,xxxx + 2(D12+2D66) w,xxyy + D22 w,yyyy = q N = Nx*Ny; K = sparse(N,N); F = zeros(N,1); We assemble a sparse linear system ( [K]

% Solve w_vec = K \ F; w = reshape(w_vec, Nx, Ny); xxxx + 2(D12+2D66) w