ENISE1/S9/PRI/Code/Algo2/test.m

% --- Exemple 1: Chargement non proportionnel (comme dans l'article) ---
tic
t = linspace(0, 2, 100);
eps11 = 0.005 * tan(3*pi*t);
eps22 = -0.001 * cos(2*pi*t);
eps33 = 0.0075 * sin(4*pi*t);
eps12 = -0.002 * cos(5*pi*t);

n = length(t);
epsilon_history = cell(n,1);
for i = 1:n
    epsilon_history{i} = [eps11(i), eps12(i), 0;
                          eps12(i), eps22(i), 0;
                          0,       0,       eps33(i)];
end

[DeltaGamma, planes, pairs, maxTresca] = computeCriticalPlanes(epsilon_history);

fprintf('Delta gamma / 2 = %.4f %%\n', DeltaGamma*100);
fprintf('Plans critiques:\n');
disp(planes');

% figure; hold on; axis equal;
% quiver3(0,0,0, planes(1,1), planes(2,1), planes(3,1), 'r', 'LineWidth', 2);
% quiver3(0,0,0, planes(1,2), planes(2,2), planes(3,2), 'b', 'LineWidth', 2);
% text(planes(1,1), planes(2,1), planes(3,1), ' P1', 'Color', 'r');
% text(planes(1,2), planes(2,2), planes(3,2), ' P2', 'Color', 'b');
% xlabel('X'); ylabel('Y'); zlabel('Z');
% title('Plans Critiques (Rouge = P1, Bleu = P2)');
% grid on;

% === VISUALISATION 3D DES 2 PLANS CRITIQUES ===
figure('Color','white'); hold on; axis equal;
view(3); grid on;

% Origine
plot3(0,0,0,'ko','MarkerFaceColor','k');

% Plan 1 (rouge)
quiver3(0,0,0, planes(1,1), planes(2,1), planes(3,1), ...
        'r', 'LineWidth', 4, 'MaxHeadSize', 0.5);
text(planes(1,1)*1.3, planes(2,1)*1.3, planes(3,1)*1.3, ...
     ' P1', 'Color','red','FontSize',16,'FontWeight','bold');

% Plan 2 (bleu)
quiver3(0,0,0, planes(1,2), planes(2,2), planes(3,2), ...
        'b', 'LineWidth', 4, 'MaxHeadSize', 0.5);
text(planes(1,2)*1.3, planes(2,2)*1.3, planes(3,2)*1.3, ...
     ' P2', 'Color','blue','FontSize',16,'FontWeight','bold');

xlabel('X'); ylabel('Y'); zlabel('Z');
title('LES 2 PLANS CRITIQUES (P1 en rouge, P2 en bleu)', 'FontSize',14);
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