| 
               
                | Conclusions 
                    on SAC Properties |   
                |  |   
                | Figure 
                    35: Master-curve of SAC creep model. 
                     Tensile creep data from five independent tests show consistency 
                      over a wide temperature range, -55°C to 150°C: |   
                |  | 
                     The results from three datasets and SAC alloys with 2.5 
                      to 3.9% Ag and 0.5 to 0.8% Cu contents were used to 
                      develop a first-order hyperbolic sine creep model. The master-curve 
                      of the model is shown as the centerline of the correlation 
                      band in Figure 35 where the 37 "x" symbols represent 
                      the original data that was used for curve fitting purposes. The 24 other data points (shown as triangular symbols 
                      in Figure 35) represent creep results for other SAC type 
                      alloys that were rapidly cooled (15 data points) and 9 data 
                      points from compression tests ran on specimens of the Sn-4.7Ag-1.7Cu 
                      NCMS alloy. I.e., although the model was derived based on 
                      tensile creep data, it seems to fit compression creep data 
                      as well, at least to a first order. The 61 total data points shown in Figure 35 fall within 
                      or close to the arbitrary "lower" or "upper" 
                      bounds of the correlation band. These bounds are set a factor 
                       10 
                      or approximately 3.16 times below and above the centerline 
                      of the model. To a first order, the creep model applies 
                      to bulk SAC solders of slightly different compositions 
                      in the range: 95.5 to 96.5%Sn with 2.5 to 3.9% 
                      Ag and 0.5 to 0.8% Cu contents, including CastinTM 
                      (96.2Sn-2.5Ag-0.8Cu-0.5Sb).Most of the data was at stress levels greater than 10 
                      MPa. More data is needed to test the model (or any other 
                      constitutive model) below 10 MPa since solder joints of 
                      electronic assemblies are likely to experience such stress 
                      levels in use. |   
                | 
                     Comparison of the model to creep rate data for slowly 
                      cooled specimens showed that, under those conditions, 
                      the model is offset from the data by a large factor (~ 100X). 
                      Thus, the effect of coolingrates appears to be an important 
                      parameter that needs to be investigated further. |   
                |  | 
                    This strong effect of slow versus rapid cooling rates 
                      was observed in two independent experiments (Kim et al., 
                      2001; and Joo et al., 2002). Fast cooling rates result in 
                      a more creep resistant, finer microstructure with  -Sn 
                      globules of approximate size 5-10 µm. |   
                | 
                     The comparison of the tensile-creep, SAC bulk solder 
                      model to a shear-creep, SAC flip-chip solder joint model 
                      showed that the two models follow different trends. Such 
                      a discrepancy is not new and has been observed with Sn-Pb 
                      creep data in the past. Nevertheless, this is thought to 
                      be a significant issue that needs to be resolved. As for Sn-3.5Ag, most of the SAC mechanical properties 
                      are provided in the range of stresses above 10 MPa. By the 
                      same token, only secondary (or steady-state) creep data 
                      are reported on since secondary creep is the overwhelmingly 
                      dominant deformation mode under high stress conditions. |   
                |  | 
                     Deformation modes at lower stress levels may include 
                      significant, or at least not-negligible primary creep, as 
                      was found by Darveaux et al. (1995) and Yang, H. et al. 
                      (1996) for Sn-3.5Ag. |  |