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• Introduction  
• Sn-Pb Properties and Models  
• Sn-Ag Properties and Creep Data  
• Sn-Ag-Cu Properties and Creep Data  
• General Conclusions/ Recommendations  
• Acknowledgements  
• References  
     
  For more information contact:  
  metallurgy@nist.gov  
 
Sn-Ag Properties and Creep Data
 
  Overview and Conclusions  
  Bulk Sn-3.5Ag Tensile Creep  
  • Source and Plot of Data  
  • Specimens  
  • Microstructures  
  • Data Analysis  
  • Discussion  
  • Comparison to Sn-4Ag Tensile Creep Data  
  Sn-3.5Ag Compression Creep  
  • Raw Data  
  • Data Analysis  
  • Comparison of Tensile and Compressive Creep  
  Creep of Sn-3.5Ag Lap Shear and Plug & Ring Joints  
  • Shear Joint Sizes  
  • Sn-3.5Ag Lap Joint and Plug & Ring Shear Data  
  • Analysis of Sn-3.5Ag Lap Joint and Plug & Ring Shear Data  
  • Comparison to Sn-3.65Ag and Sn-4Ag Data  
  Creep of Sn-3.5Ag CCC Solder Joints in Shear  
  • Darveaux's Sn-3.5Ag Data  
  • Fit of Darveaux's Data to Lap Shear and Plug & Ring Correlation Band  
  • Regression of Darveaux's CCC Shear Data  
  Creep of Sn-3.5Ag Flip-Chip Solder Joints in Shear  
  • Flip-Chip Sn-3.5Ag Shear Data  
  • Comparison of Flip-Chip and CCC Solder Joint Shear Data  
  Other Properties of Sn-3.5Ag  
  • Young's Modulus vs. Temperature  
  • Poisson's Ratio  
  • Coefficients of Thermal Expansion (CTE)  
  • Other Physical Properties  
  Discussion  
  • Data Scatter  
  • Multiaxial Conditions  
  • Constitutive Modeling  
  • Recommendations  
 

Creep of Sn-3.5Ag Lap Shear& Plug & Ring Joints

Shear Joint Sizes

Figure 14: Sn-3.5Ag shear joint sizes. Arrows indicate direction of shear forces.

Figure 14: Sn-3.5Ag shear joint sizes. Arrows indicate direction of shear forces.

Isothermal shear testing data was collected from several sources (first authors quoted in Figure 14). Sizes of the various joints are shown in Figure 14 with joint dimensions given as joint thickness and joint length (or diameter) in shear. The joint depth is not shown and the arrows indicate the direction of the applied shear forces. Joint thickness is from 0.1 mm to 0.43 mm and joint length is from 0.2 mm to 16 mm.

Creep properties are given as a function of an average shear stress t that is defined as the total shear force divided by the minimum load bearing area in shear, A, i.e.: t = F / A. This is an approximate description of the state of stress in the solder joints since lap-joint or plug and ring shear stresses are not distributed uniformly. The shear stress distribution in the length direction is expected to have maximum values at the joint ends (where cracks initiate) and follow some type of hyperbolic sine function. Thus, we expect significant differences in shear strength values derived, for example, from the small flip-chip joints and the much longer ring and plug or the 16 mm long lap shear joints shown in Figure 14. Moreover, long joints increase the risk of void formation during soldering of lap shear specimens. This was reported as being the case in the Ren et al. (1997) experiment where the void contents was 40% of the load bearing area in shear.

Sn-3.5Ag Lap Joint and Plug & Ring Shear Data

We first look at data for lap shear and plug-and-ring joints such as shown schematically in Figure 14. The corresponding creep data was collected from publications by ITRI (No. 656), Ren et al. (1997), Hernandez et al. (1998), Yang et al. (1995), Guo et al. (2001), Igoshev et al. (2000) and Glazer (1994-95). Hernandez used copper ring & plug specimens, and Ren, Yang and Guo used copper strips for their lap shear specimens. The raw data is plotted in Figure 15 and is given as temperature, average shear stress and shear strain rate in Table A.4.

The various datasets show some continuity as well as discrepancies. For example, the 25°C Glazer data, the 23°C Hernandez data and the ITRI 20°C datasets appear to follow the same trendline. However, the 158°C Yang data follows a trendline that would be below most of the 100°C ITRI data or seems to line up with the 100°C Glazer data. Note also that, except for the 158°C data by Yang et al., most of the data is in the stress range above 10 MPa. As for the tensile data, the shear data does not cover the less than 10 MPa stress range that is of interest under service conditions.

Figure 15: Creep data for Sn-3.5Ag lap shear and plug & ring joints.

Figure 15: Creep data for Sn-3.5Ag lap shear and plug & ring joints.

Analysis of Sn-3.5Ag Lap Joint and Plug & Ring Shear Data

Figure 16: Fit of "sinh" model to Sn-3.5Ag lap shear and plug & ring data.

Figure 16: Fit of "sinh" model to Sn-3.5Ag lap shear and plug & ring data.

The creep data in Figure 16 is fitted to a hyperbolic sine model:

Equation 32 (32)
special definitions:
  tau average shear stress  
  gamma degree average shear strain-rate  

The regression constants are obtained as:

  • LNA = ln(A) = 27.43 ± 6.38 (from which the central value of A is: A = 8.179e11)
  • B = 0.0266 ± 0.0118
  • n = 8.67 ± 1.09
  • Qa = 9310 ± 1185 (from which the central value of Q is: Q = 77.4 kJ/mole ~ 0.80 eV)

The data in Figure 8 is replotted in Figure 9 where the best fit line [plot of gamma degree exp (Q/RT) vs. tau] is obtained from the master curve equation:

Equation 33 (33)

 

Comparison to Sn-3.65Ag and Sn-4Ag Data

Figure 17: Fit of Sn3.65Ag and Sn4AG data to Sn3.5Ag lap shear and plug & ring correlation band.

Figure 17: Fit of Sn3.65Ag and Sn4AG data to Sn3.5Ag lap shear and plug & ring correlation band.

Figure 17 shows shear creep data for Sn3.65Ag and Sn4Ag alloys on the plot of the Sn-3.5Ag lap shear and plug & ring master curve (Figure 15). The raw data – after Foley et al., 2001 and GE / DeVore, 1980 – is listed in Table A.5 in Appendix. Basic specimen information was given as follows:

  • The Sn3.65Ag data is from ring & plug joint strength measurements by Foley et al. (2000). Test temperatures were 23°C and 125°C.
  • The Sn4Ag data is from bulk alloy shear strength data in the Devore / GE handbook of solder properties. Test temperatures were -130°C, 25°C and 150°C.
Except for the GE / -130°C data point at the top of the chart, the other data points are within or close to the correlation band for the Sn3.5Ag shear data. Again, this suggests a possibly low sensitivity of creep behavior to silver contents for SnAg alloys near the eutectic composition.

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