To integrate this function into a global system, loop over your 2D mesh matrix, extract coordinate arrays for each element, pass them to cst_stiffness , and map the resulting
%% ---------- STEP 3: APPLY BOUNDARY CONDITIONS ---------- % Identify fixed dofs and free dofs fixed_dofs = []; for bc = 1:size(BC,1) node = BC(bc,1); dof = BC(bc,2); global_dof = 2*(node-1) + dof; fixed_dofs = [fixed_dofs, global_dof]; % Set prescribed displacement (if nonzero, handled via penalty or reduction) % Here we assume zero displacement for BC (can extend later) end free_dofs = setdiff(1:numDofs, fixed_dofs);
This guide provides a complete set of MATLAB codes to solve a 2D linear elastic problem using the . The implementation uses 4-node Quadrilateral (Q4) elements with 2 Degrees of Freedom (DOF) per node (Plane Stress or Plane Strain). matlab codes for finite element analysis m files
Maps local nodal degrees of freedom (DOFs) to the global system. D. Post-Processing Function ( visualize.m )
% Solve for free DOFs d(free_dofs) = K(free_dofs, free_dofs) \ F(free_dofs); To integrate this function into a global system,
Programing The Finite Element Method With Matlab - mchip.net
%% Solve u = K_mod \ F_mod; % Nodal displacements free_dofs) \ F(free_dofs)
% Element stresses stresses = zeros(size(elements,1),1); for e = 1:size(elements,1) n1 = elements(e,1); n2 = elements(e,2); L = nodes(n2) - nodes(n1); strain = (u(n2) - u(n1)) / L; stresses(e) = E(e) * strain; fprintf('Element %d: Stress = %.2f MPa\n', e, stresses(e)/1e6); end
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