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460.402 56.6334 43.3666
460.402 57.6334 42.3666
460.402 59.6334 40.3666
460.402 60.6334 39.3666
460.402 61.1334 38.8666
460.402 61.2584 38.7416
460.402 61.3209 38.6791
460.402 61.3365 38.6635
460.402 61.3443 38.6557
460.402 61.3482 38.6518
460.402 61.3492 38.6508
460.402 61.3497 38.6503];
dati42=[834.37 41.4069 58.5931
834.37 41.3444 58.6556
834.37 41.2194 58.7806
834.37 40.9694 59.0306
834.37 40.7194 59.2806
834.37 40.6569 59.3431
834.37 40.6491 59.3509
834.37 40.6486 59.3514];
dati43=[703.292 32.2757 67.7243
703.292 32.2132 67.7868
703.292 32.0882 67.9118
703.292 31.8382 68.1618
703.292 31.3382 68.6618
703.292 30.3382 69.6618
703.292 28.3382 71.6618
703.292 24.3382 75.6618
703.292 20.3382 79.6618
703.292 19.8382 80.1618
703.292 19.7132 80.2868
703.292 19.6507 80.3493
703.292 19.6351 80.3649
703.292 19.6273 80.3727
703.292 19.6234 80.3766
703.292 19.6224 80.3776
703.292 19.622 80.378];
dati44=[703.292 32.2757 67.7243
703.292 32.2132 67.7868
703.292 32.0882 67.9118
703.292 31.8382 68.1618
703.292 31.3382 68.6618
703.292 30.3382 69.6618
703.292 28.3382 71.6618
703.292 28.2132 71.7868
703.292 28.182 71.818
703.292 28.1742 71.8258
703.292 28.1722 71.8278
703.292 28.1721 71.8279];
dati45=[703.292 28.1721 71.8279
702.304 28.1491 71.8509
700.328 28.1032 71.8968
696.372 28.0118 71.9882
688.45 27.8306 72.1694
672.567 27.4741 72.5259
640.656 26.7839 73.2161
576.353 25.4829 74.5171
560.196 25.172 74.828
559.185 25.1527 74.8473
558.932 25.1479 74.8521
558.869 25.1467 74.8533
558.837 25.1461 74.8539
558.821 25.1458 74.8542
558.817 25.1457 74.8543];
dati46=[558.817 25.1457 74.8543
559.642 25.1064 74.8936
561.287 25.0272 74.9728
564.548 24.8669 75.1331
570.95 24.538 75.462
583.217 23.8457 76.1543
594.649 23.1055 76.8945
600.001 22.7171 77.2829
600.164 22.7048 77.2952
600.245 22.6986 77.3014
600.249 22.6983 77.3017];
dati47=[600.249 22.6983 77.3017
601.096 22.7361 77.2639
602.788 22.8117 77.1883
606.165 22.9635 77.0365
612.888 23.2694 76.7306
626.201 23.8913 76.1087
652.175 25.1818 74.8182
700.566 27.9921 72.0079
701.982 28.0852 71.9148
702.688 28.132 71.868
703.04 28.1554 71.8446
703.216 28.1671 71.8329
703.26 28.17 71.83
703.282 28.1714 71.8286
703.293 28.1722 71.8278
703.292 28.1721 71.8279];
dati48=[600.249 22.6983 77.3017
600.249 22.6358 77.3642
600.249 22.5108 77.4892
600.249 22.2608 77.7392
600.249 21.7608 78.2392
600.249 20.7608 79.2392
600.249 18.7608 81.2392
600.249 14.7608 85.2392
600.249 12.7608 87.2392
600.249 11.7608 88.2392
600.249 11.7296 88.2704
600.249 11.714 88.286
600.249 11.7061 88.2939
600.249 11.7022 88.2978
600.249 11.7016 88.2984];
dati49=[600.249 22.6983 77.3017
600.249 22.6358 77.3642
600.249 22.5108 77.4892
600.249 22.2608 77.7392
600.249 21.7608 78.2392
600.249 21.2608 78.7392
600.249 21.0108 78.9892
600.249 20.8858 79.1142
600.249 20.8233 79.1767
600.249 20.7921 79.2079
600.249 20.7919 79.2081];
dati50=[558.817 25.1457 74.8543
558.817 25.0832 74.9168
558.817 24.9582 75.0418
558.817 24.7082 75.2918
558.817 24.2082 75.7918
558.817 23.2082 76.7918
558.817 22.7082 77.2918
558.817 22.4582 77.5418
558.817 22.3332 77.6668
558.817 22.3254 77.6746
558.817 22.3215 77.6785
558.817 22.321 77.679];
dati51=[558.817 25.1457 74.8543
558.817 25.2082 74.7918
558.817 25.3332 74.6668
558.817 25.5832 74.4168
558.817 26.0832 73.9168
558.817 27.0832 72.9168
558.817 29.0832 70.9168
558.817 30.0832 69.9168
558.817 30.5832 69.4168
558.817 30.6457 69.3543
558.817 30.6613 69.3387
558.817 30.6692 69.3308
558.817 30.6711 69.3289
558.817 30.6718 69.3282];
dati52=[703.292 28.1721 71.8279
703.292 28.1409 71.8591
703.292 28.1096 71.8904
703.292 28.0784 71.9216
703.292 28.0471 71.9529
703.292 28.0159 71.9841
703.292 27.9846 72.0154
703.292 27.9221 72.0779
703.292 27.7971 72.2029
703.292 27.5471 72.4529
703.292 27.0471 72.9529
703.292 26.0471 73.9529
703.292 24.0471 75.9529
703.292 20.0471 79.9529
703.292 19.7971 80.2029
703.292 19.6721 80.3279
703.292 19.6409 80.3591
703.292 19.6252 80.3748
703.292 19.6233 80.3767
703.292 19.6223 80.3777
703.292 19.622 80.378];
dati53=[600.249 20.7919 79.2081
600.249 20.7294 79.2706
600.249 20.6044 79.3956
600.249 20.3544 79.6456
600.249 19.8544 80.1456
600.249 18.8544 81.1456
600.249 16.8544 83.1456
600.249 12.8544 87.1456
600.249 11.8544 88.1456
600.249 11.7294 88.2706
600.249 11.7137 88.2863
600.249 11.7059 88.2941
600.249 11.702 88.298
600.249 11.7016 88.2984];
dati54=[419.178 12.5657 87.4343
418.122 12.5726 87.4274
416.01 12.5863 87.4137
411.786 12.6139 87.3861
403.338 12.6692 87.3308
386.445 12.7811 87.2189
352.667 13.0094 86.9906
285.147 13.4837 86.5163
217.672 13.9799 86.0201
150.239 14.4954 85.5046
116.536 14.7591 85.2409
108.112 14.8256 85.1744
103.899 14.8589 85.1411
101.793 14.8756 85.1244
100.74 14.8839 85.1161
100.214 14.8881 85.1119
100.082 14.8891 85.1109
100.017 14.8896 85.1104
100 14.8898 85.1102
100 14.8898 85.1102];
dati55=[419.178 12.5657 87.4343
419.178 12.5345 87.4655
419.178 12.5032 87.4968
419.178 12.472 87.528
419.178 12.4407 87.5593
419.178 12.4095 87.5905
419.178 12.347 87.653
419.178 12.222 87.778
419.178 11.972 88.028
419.178 11.472 88.528
419.178 10.472 89.528
419.178 8.47199 91.528
419.178 4.47199 95.528
419.178 2.47199 97.528
419.178 2.22199 97.778
419.178 2.09699 97.903
419.178 2.03449 97.9655
419.178 2.02668 97.9733
419.178 2.02473 97.9753
419.178 2.02413 97.9759];
figure('Name','Diagramma di stato Cu-Zn','NumberTitle','off')
title('Diagramma di stato Cu-Zn')
plot(dati1(:,1),dati1(:,2),dati2(:,1),dati2(:,2),dati3(:,1),dati3(:,2),dati4(:,1),dati4(:,2),dati5(:,1),dati5(:,2),dati6(:,1),dati6(:,2),dati7(:,1),dati7(:,2),dati8(:,1),dati8(:,2),dati9(:,1),dati9(:,2),dati10(:,1),dati10(:,2));
hold on;
grid on;
plot(dati11(:,1),dati11(:,2),dati12(:,1),dati12(:,2),dati13(:,1),dati13(:,2),dati14(:,1),dati14(:,2),dati15(:,1),dati15(:,2),dati16(:,1),dati16(:,2),dati17(:,1),dati17(:,2),dati18(:,1),dati18(:,2),dati19(:,1),dati19(:,2),dati20(:,1),dati20(:,2));
plot(dati21(:,1),dati21(:,2),dati22(:,1),dati22(:,2),dati23(:,1),dati23(:,2),dati24(:,1),dati24(:,2),dati25(:,1),dati25(:,2),dati26(:,1),dati26(:,2),dati27(:,1),dati27(:,2),dati28(:,1),dati28(:,2),dati29(:,1),dati29(:,2),dati30(:,1),dati30(:,2));
plot(dati31(:,1),dati31(:,2),dati32(:,1),dati32(:,2),dati33(:,1),dati33(:,2),dati34(:,1),dati34(:,2),dati35(:,1),dati35(:,2),dati36(:,1),dati36(:,2),dati37(:,1),dati37(:,2),dati38(:,1),dati38(:,2),dati39(:,1),dati39(:,2),dati40(:,1),dati40(:,2)); plot(dati41(:,1),dati41(:,2),dati42(:,1),dati42(:,2),dati43(:,1),dati43(:,2),dati44(:,1),dati44(:,2),dati45(:,1),dati45(:,2),dati46(:,1),dati46(:,2),dati47(:,1),dati47(:,2),dati48(:,1),dati48(:,2),dati49(:,1),dati49(:,2),dati50(:,1),dati50(:,2));
plot(dati51(:,1),dati51(:,2),dati52(:,1),dati52(:,2),dati53(:,1),dati53(:,2),dati54(:,1),dati54(:,2),dati55(:,1),dati55(:,2));
grid on;
xlabel('T [°C]')
ylabel('w% di Cu')
figure('Name','Frazione percentuale in massa di Zn in funzione della T - curve di liquidus e solidus (PANDAT)','NumberTitle','off')
plot(dati4(:,1),dati4(:,3),dati6(:,1),dati6(:,3));
xlabel('T [°C]')
ylabel('w% di Zn')
figure('Name','T in funzione della frazione percentuale in massa di Zn - curve di liquidus e solidus (PANDAT)','NumberTitle','off')
plot(dati4(:,3),dati4(:,1),dati6(:,3),dati6(:,1));
xlabel('w% di Zn')
ylabel('T [°C]')
T=880:1:1086;
Cl=-0.0003575*T.^2+0.5096*T-131.9;
Cs=-0.0001715*T.^2+0.1691*T+18.5;
figure('Name','Frazione percentuale in massa di Zn in funzione della T - curve di liquidus e solidus (Interpolazione polinomiale)','NumberTitle','off')
plot(T,Cs,T,Cl)
xlabel('T [°C]')
ylabel('w% di Zn')
figure('Name','T in funzione della frazione percentuale in massa di Zn - curve di liquidus e solidus (Interpolazione polinomiale)','NumberTitle','off')
plot(Cs,T,Cl,T)
xlabel('w% di Zn')
ylabel('T [°C]')
C0=36;
Ti = -0.0441*C0^2-3.314*C0+1085;
Tf = -0.03397*C0^2-4.743*C0+1085;
Tif= Tf:1:Ti;
Cl=-0.0003575*Tif.^2+0.5096*Tif-131.9;
Cs=-0.0001715*Tif.^2+0.1691*Tif+18.5;
fl=(C0-Cs)./(Cl-Cs);
fs=(Cl-C0)./(Cl-Cs);
aCu=7552.21;
bCu=1.061386;
cCu=-0.000668;
a=0.4;
b=-0.010386;
c=0;
d=-0.420671;
e=0.005943;
CL=36;
TL=Tf:1:1086;
pLe= aCu + bCu*TL + cCu*TL.^2 +(a + b*TL + c*TL.^2 + d*CL + e*CL^2)*CL;
figure('Name','Densità del liquido tra temperatura di fine solidificazione e 1086°C','NumberTitle','off')
plot(TL,pLe)
title('Densità del liquido tra temperatura di fine solidificazione e 1086°C')
xlabel('T [°C]')
ylabel('Densità [kg/m^3]')
pL= aCu + bCu*Tif + cCu*Tif.^2 +(a + b*Tif + c*Tif.^2 + d*CL + e*CL^2)*CL;
aCu= 8945.62;
bCu= -0.460976;
cCu= -0.0000614;
a= -12.45;
b= -0.000804;
c= 0;
d= -0.035801;
CS=36;
Ta=20;
TS=600:1:Ti;
pSe= aCu + bCu*TS + cCu*TS.^2 +(a + b*TS + c*TS.^2 +d*CS)*CS;
figure('Name','Densità del solido tra 600°C e temperatura di inizio solidificazione','NumberTitle','off')
plot(TS,pSe)
xlabel('T [°C]')
ylabel('Densità [kg/m^3]')
title('Densità del solido tra 600°C e temperatura di inizio solidificazione')
pS= aCu + bCu*Tif + cCu*Tif.^2 +(a + b*Tif + c*Tif.^2 +d*CS)*CS;
TS1=Ta:1:Tf;
pS1= aCu + bCu*TS1 + cCu*TS1.^2 +(a + b*TS1 + c*TS1.^2 +d*CS)*CS;
p= ( (fl./pL) + (1-fl)./pS ).^-1;
figure('Name','Densità complessiva tra temperatura di inizio e fine solidificazione','NumberTitle','off')
plot(Tif, p)
xlabel('T [°C]')
ylabel('Densità [kg/m^3]')
title('Densità complessiva tra temperatura di inizio e fine solidificazione')
figure('Name','Densità di liquido, solido e complessiva in funzione della temperatura','NumberTitle','off')
plot(TS,pSe,Tif,p,TL,pLe)
xlabel('T [°C]')
ylabel('Densità [kg/m^3]')
title('Densità di liquido, solido e complessiva in funzione della temperatura')
n=length(p);
p0=p(n);
ritiro= ( -1 +(p/p0).^(1/3) )*100;
ritiroS= ( -1 +(pS1/p0).^(1/3) )*100;
figure('Name','Ritiro lineare durante la solidificazione e il raffreddamento della fase solida','NumberTitle','off')
plot(Tif,ritiro,TS1,ritiroS)
xlabel('T [°C]')
ylabel('Ritiro %')
title('Ritiro lineare durante la solidificazione e il raffreddamento della fase solida')
aCuL= 134.407;
bCuL= 0.026743;
cCuL= 0;
aL=-2.118;
bL=0;
cL=0;
dL=-14.942;
nL=0.04;
kL = aCuL + bCuL*Tif + cCuL*Tif.^2 + (aL+bL*Tif+cL*Tif.^2)*CL + dL*CL*10^-(nL*CL);
figure('Name','Conducibilità termica liquido tra Ti e Tf','NumberTitle','off')
plot(Tif, kL)
xlabel('T [°C]')
ylabel('Conducibilità termica [W/mK]')
title('Conducibilità termica liquido tra Ti e Tf')
aCuF= 398.61;
bCuF= -0.042062;
cCuF= -0.0000205;
aF= -5.11;
bF= 0.001901;
cF= 0;
dF= -32.046;
eF= 0.030979;
nF= 0.03;
kFcc = aCuF + bCuF*Tif+cCuF*Tif.^2+(aF+bF*Tif+cF*Tif.^2)*CS+(dF+eF*Tif)*CS*10^-(nF*CS);
figure('Name','Conducibilità termica solido tra Ti e Tf','NumberTitle','off')
plot(Tif, kFcc)
xlabel('T [°C]')
ylabel('Conducibilità termica [W/mK]')
title('Conducibilità termica solido tra Ti e Tf')
K = (1-fl).*kFcc + fl.*kL;
figure('Name','Conducibilità termica complessiva Cu-Zn tra Ti e Tf','NumberTitle','off')
plot(Tif, K)
xlabel('T [°C]')
ylabel('Conducibilità termica [W/mK]')
title('Conducibilità termica complessiva Cu-Zn tra Ti e Tf')