Composite Plate Bending Analysis With Matlab Code -

%% 6. Apply Boundary Conditions (Simply Supported) % Simply supported: w = 0, and Mxx=0, Myy=0 approximately enforced by free θ % At x=0 and x=a: w=0, Myy=0 -> θy free, θx free (if not clamped) % Standard SS: w=0, moment normal to edge zero. % Here we enforce w=0 on all edges and keep θx, θy free.

bc_dofs = []; for iy = 1:ny for ix = 1:nx node = (iy-1) nx + ix; if ix == 1 || ix == nx || iy == 1 || iy == ny bc_dofs = [bc_dofs, 3 (node-1)+1]; % w=0 at boundary end end end Composite Plate Bending Analysis With Matlab Code

% To get correct results, replace this function with a proper % Kirchhoff plate element or use Mindlin-Reissner theory. % The current script structure is valid but needs B matrix implementation. bc_dofs = []; for iy = 1:ny for

%% 2. Compute Reduced Stiffness Matrix Q for a single layer (0°) Q11 = E1 / (1 - nu12^2 * (E2/E1)); Q12 = nu12 * E2 / (1 - nu12^2 * (E2/E1)); Q22 = E2 / (1 - nu12^2 * (E2/E1)); Q66 = G12; Q0 = [Q11, Q12, 0; Q12, Q22, 0; 0, 0, Q66]; Compute Reduced Stiffness Matrix Q for a single

% Gauss quadrature (2x2 points) gauss_pts = [-1/sqrt(3), 1/sqrt(3)]; gauss_wts = [1, 1];

% Transformed reduced stiffness Q_bar = T_bar * Q0 * T_bar';

% Reuter's matrix (for engineering shear strain) R = [1,0,0;0,1,0;0,0,2]; T_bar = R * T / R;