Composite - Plate Bending Analysis With Matlab Code ((install))

The following MATLAB script calculates the 3D deflection profile of a symmetric composite laminate subjected to a uniform transverse load using Navier's solution.

ensures an accurate solution, typically restricting truncation error to well under 1%. If you want to expand this analysis, tell me:

Based on the Kirchhoff-Love hypothesis, it assumes thin plates and neglects shear deformation (

%% Geometry and Mesh Lx = 0.2; % plate length in x (m) Ly = 0.2; % width in y (m) nx = 20; % elements along x ny = 20; % elements along y h_total = 0.005; % total thickness (m) Composite Plate Bending Analysis With Matlab Code

MATLAB’s built-in plotting ( surf , pcolor , quiver ) makes it easy to visualize the bent plate shape, deflection contours, and even inter-laminar shear stress distributions.

%% 7. Bending Analysis (Load Case) % Scenario: Plate subjected to Uniform Moment Mx = 100 N-m/m % This simulates a pure bending case. M_applied = [100; 0; 0]; % [Mx, My, Mxy] in N-m/m

% Store for plotting z_coords = [z_coords, z_bot_k, z_top_k]; sig_global = [sig_global, stress_bot, stress_top]; The following MATLAB script calculates the 3D deflection

for e = 1:nElem nodes = elements(e,:); xy = nodeCoords(nodes, :); Ke = element_stiffness(xy, ABD, As); % Assemble dofIdx = zeros(20,1); for i = 1:4 base = (nodes(i)-1)*5; dofIdx((i-1) 5+1 : i 5) = base + (1:5); end K(dofIdx, dofIdx) = K(dofIdx, dofIdx) + Ke;

% Stress = Q_bar * Strain stress_bot = Q_bar_store(:,:,k) * strain_bot; stress_top = Q_bar_store(:,:,k) * strain_top;

%% ========== LOCAL FUNCTIONS ========== sig_global = [sig_global

% Numerical integration for i = 1:2 xi = gauss_pts(i); wxi = gauss_wts(i); for j = 1:2 eta = gauss_pts(j); wet = gauss_wts(j);

For a laminate with N layers, the (3×3) is defined as:

Flexural analysis of laminated composite plates - ScienceDirect