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a guest Apr 24th, 2019 67 Never
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  1. data = SpecimenRawData1; %polyeth_stress_relax
  2. data = table2array(data);
  3. time = data(35:end,1);
  4. strain = (data(35:end,2) ./ 80.6) - .0011; %unitless
  5. stress = data(35:end,3) ./(12.85 * 2.75); %MPa
  6.  
  7. fit = polyfit(strain(1:4), stress(1:4), 1);
  8. sigma0 = stress(2);
  9. epsdot = .02/60;
  10.  
  11. relaxtime = data(3973:end,1);
  12. strain_r = strain(3938:end);
  13. stress_r = stress(3938:end);
  14.  
  15. K = fit(1) %UNRELAXED MODULUS OF ELASTICITY [MPa]
  16. eta = stress_r(1)/epsdot%MPa-s
  17. tou = eta/K %1/s
  18.  
  19. figure(2)
  20.  
  21. Erel = K .* exp(-(relaxtime)/tou);
  22. plot(relaxtime, Erel), xlabel('Time relaxed (s)'), ylabel('Relaxed Modulus (MPa)'), title('Stress Relaxation of Polyethylene for $\dot{\epsilon}$ = .002/min', 'Interpreter','latex')
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