Matlab Codes For Finite Element Analysis M Files File

% --- Apply Boundary Conditions (Penalty Method) --- penalty = 1e12 * max(max(K)); for i = 1:length(fixed_global) dof = fixed_global(i); K(dof, dof) = K(dof, dof) + penalty; F(dof) = penalty * 0; end

% Element stiffness matrix ke = thickness * area * (B' * D * B); matlab codes for finite element analysis m files

% Geometry: nodes and elements nodes = [0; 0.5; 1.0]; % Nodal coordinates (m) elements = [1 2; 2 3]; % Element connectivity % --- Apply Boundary Conditions (Penalty Method) ---

% --- Assembly --- n_dof = size(nodes,1)*2; K = zeros(n_dof); F = F_applied; dof) = K(dof

% 3. Apply Boundary Conditions % - Modify K and F to enforce Dirichlet (displacement) BCs

% B matrix for CST B = zeros(3, 6); for i = 1:3 j = mod(i,3)+1; k = mod(i+1,3)+1; B(1, 2*i-1) = (y(j)-y(k)) / (2*area); B(2, 2*i) = (x(k)-x(j)) / (2*area); B(3, 2*i-1) = (x(k)-x(j)) / (2*area); B(3, 2*i) = (y(j)-y(k)) / (2*area); end

% Boundary conditions fixed_dof = 1; % Node 1 fixed force_dof = 3; % Node 3 loaded applied_force = 10000; % N