Matlab Codes For Finite Element Analysis M Files [ HIGH-QUALITY ]

% Elements (triangle connectivity: node1, node2, node3) elements = [1, 2, 3; 1, 3, 4];

% Coordinates x = nodes([n1,n2,n3], 1); y = nodes([n1,n2,n3], 2);

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

% --- Post-processing --- disp('Nodal displacements (m):'); disp(U); matlab codes for finite element analysis m files

% Load: tension on right edge (nodes 2 and 3) force_val = 1000; % N/m % Node 2: Fx = force_val * area? For simplicity, point load F_applied = zeros(size(nodes,1)*2, 1); F_applied((2-1)*2 + 1) = force_val * 0.05 * thickness; % Node 2, ux F_applied((3-1)*2 + 1) = force_val * 0.05 * thickness; % Node 3, ux

% Number of nodes and DOFs (1 DOF per node for axial) n_nodes = length(nodes); n_dof = n_nodes;

% 1. Pre-processing % - Define geometry, material properties, boundary conditions % - Generate mesh (nodes and elements) % 2. Assembly % - Initialize global stiffness matrix K and force vector F % - Loop over elements, compute element stiffness matrix, assemble Assembly % - Initialize global stiffness matrix K

% Element length L = nodes(n2) - nodes(n1);

% 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 compute element stiffness matrix

for e = 1:size(elements, 1) n1 = elements(e, 1); n2 = elements(e, 2);

% Plane stress constitutive matrix D = (E/(1-nu^2)) * [1, nu, 0; nu, 1, 0; 0, 0, (1-nu)/2];