Code — Composite Plate Bending Analysis With Matlab

% Central difference coefficients c1 = D(1,1)/dx^4; c2 = (2*(D(1,2)+2 D(3,3)))/(dx^2 dy^2); c3 = D(2,2)/dy^4;

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. Composite Plate Bending Analysis With Matlab Code

[ \left(\frac{\partial^4 w}{\partial x^4}\right) {ij} \approx \frac{w {i-2,j} - 4w_{i-1,j} + 6w_{i,j} - 4w_{i+1,j} + w_{i+2,j}}{\Delta x^4} ] % Central difference coefficients c1 = D(1,1)/dx^4; c2

For interior node (i,j):

[ \begin{Bmatrix} \mathbf{N} \ \mathbf{M} \end{Bmatrix} = \begin{bmatrix} \mathbf{A} & \mathbf{B} \ \mathbf{B} & \mathbf{D} \end{bmatrix} \begin{Bmatrix} \boldsymbol{\epsilon}^0 \ \boldsymbol{\kappa} \end{Bmatrix} ] c2 = (2*(D(1