% Find center deflection center_x = floor(nx/2)+1; center_y = floor(ny/2)+1; w_center_FEM = W(center_x, center_y);
The moment-curvature relation:
%% 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. Composite Plate Bending Analysis With Matlab Code
% At each node i, shape function for w gives 1 at node i, 0 at others. % Using bilinear shape functions for w alone would cause incompatibility. % For a working element, we use the ACM element (12 DOF). Simplified here: % Find center deflection center_x = floor(nx/2)+1; center_y
% Initialize element matrices (12x12) Ke = zeros(12,12); Fe = zeros(12,1); % At each node i, shape function for
% Gauss quadrature (2x2 points) gauss_pts = [-1/sqrt(3), 1/sqrt(3)]; gauss_wts = [1, 1];