DATA AND CORRELATIONS
Table 1 presents the thermal and structural properties of the dipersion strengthened copper alloys Cu-0.47%Cr-0.19Zr and Glidcop Al-15 copper alloy. It should be noted that these copper alloys are derivative alloys of the general copper alloy Glidcop, refs [1, 2, 3, 4].
Polynomial correlations of the thermal and structural properties of DS copper alloy as functions of temperature, using the data of Table 1, are as follows:
(1)
(2)
(3)
with T in degrees Kelvin and Eqs 1-3 valid in the temperature range 300-1500 K.
The following equations represent the change in the yield stress and the ultimate tensile strength of the Cu-0.47 % Cr-0.19Zr alloy as a function of temperature.
(4)
(5)
with T in degrees Celsius and Eqs 4-5 valid in the temperature range 20-750 C.
The change in the yield stress and the ultimate tensile strength of Glidcop Al-15 copper alloy as a function of temperature, are as follows:
(6)
(7)
Equation (6) is valid in the temperature range 20-650 C and Eq (7) in the range 20-600 C.
Figures 1-4 show the variation of properties with temperature.
TABLE 1 Thermal and structural properties of the DS copper alloys T K [[rho] E GPa [[nu] k W/m-K c [[alpha T C [[sigma]]y [[sigma]]u ] ] J/kg-K ]] MPa MPa kg/m3 m/m-K X Y X Y 300 134.04 347.77 16.858 20 463 330 502 380 400 126.96 335.31 17.110 100 439 310 458 356 500 119.74 322.74 17.419 200 411 285 418 312 600 112.37 310.21 17.783 250 383 254 388 279 700 104.85 297.56 18.204 300 372 230 377 250 800 97.187 284.86 18.681 350 348 195 357 213 900 89.373 272.09 19.214 400 321 160 328 175 1000 81.412 259.26 19.804 450 294 138 306 152 1100 73.302 246.36 20.449 500 271 115 278 131 1200 65.044 233.41 21.151 550 211 96 227 110 1300 56.044 220.39 21.909 600 179 85 186 100 1400 48.085 207.31 22.723 650 126 82 143 1500 39.383 194.17 23.594 700 94 97 750 46 51
Note: X is a Cu-0.47 % Cr-0.19Zr alloy which has been 44% cold worked and Y is Glidcop Al-15 copper alloy.
k (W/m-K)
Temperature (K)
Figure 1 : Thermal conductivity of DS copper.
E (GPa) [[alpha]] (10-6 m/m-K)
Temperature (K)
Figure 2 : Elastic modulus and thermal expansion of DS Copper.
[[sigma]]y (MPa) [[sigma]]u (MPa)
Temperature (C)
Figure 3: Yield stress and ultimate tensile strength of Cu-0.47 % Cr-0.19 Zr alloy (44 % cold worked)
[[sigma]]y (MPa) [[sigma]]u (MPa)
Temperature (C)
Figure 4 : Yield stress and ultimate tensile strength of Glidcop Al-15 copper alloy.