Design for Plastic Ball Grid Array Solder Joint Reliability

Page 1 of 9 Circuit World, Vol 23, Issue 2 11/20/2003 file://A:\p11.htm the relative deformation between SMC and PCB, the solder joint reliability is a critical issue for PBGA assembly. In the literature, a few studies have been performed to investigate the solder joint reliability of plastic ball grid array packages with certain specific configurations.56 In the present study, a series of finite element analyses was conducted to simulate PBGA-PCB assemblies with various solder ball populations, chip sizes, and substrate thicknesses. The packages under investigation were 27mm body-size, 1.27mm ballpitch, perimeter PBGAs with and without thermal balls at the centre. The diagonal cross-section of the specimen was modelled by plane-strain elements and subjected to a uniform thermal loading. In total, 24 cases were studied. The accumulated effective plastic strain was evaluated as an index for the reliability of solder joints. The results of this study revealed the effects of the aforementioned parameters on the solder joint reliability of perimeter PBGA assemblies. FINITE ELEMENT MODEL In this paper, a number of perimeter PBGA packages were studied. The package size and the die thickness were 27mm and 0.381 mm (15 mils), respectively, for all cases. The substrate was made of BT and was assembled to an FR-4 PCB by 63Sn/37Pb eutectic solder. The solder ball pitch was 1.27mm (50 mils). The material properties of all aforementioned package constituents are given in Table 1.6 There were three design parameters considered in the present study. These are solder ball population, chip size, and substrate thickness. In total, 24 cases were investigated. The configurations of various cases are presented in Table 2 and Figure 1. Since the thermal-loading response is most critical in the largest planar dimension, the diagonal cross-section was considered in the modelling. A schematic diagram for the layout of the PBGA-PCB assembly is shown in Figure 2. A commercial finite element code, ANSYS, was employed in this study for stress analysis. The diagonal cross-section of the PBGA assembly was modelled by 8-node quadrilateral plane strain elements. Due to symmetry, only a half of the cross-section was simulated. All materials were assumed to be linear-elastic except that the solder balls were elasto-plastic. A uniform temperature loading from 0°C to 85°C was applied to the whole assembly. Within the scope of the present study, all material properties were assumed to be temperature independent. RESULTS AND COMPARISON The objective of the present study is to investigate the effect of certain design parameters on the PBGA solder joint reliability. The accumulated effective plastic strain in solder balls under uniform thermal loading was evaluated as an index for the solder joint reliability (Figure 3). The numerical results for all cases are presented in Figure 4Figure 5Figure 6Figure 7. Figure 4 shows the profile of the maximum accumulated effective plastic strain in each solder ball for a.4-row perimeter PBGA without thermal balls. The total population of solder joints is 256 balls. Six cases were investigated for various chip sizes and substrate thicknesses. The concave shape of all curves reveals that there is a change of mechanism for building stresses in solder joints. It is observed that the innermost solder joint is strongly influenced by the chip size while the outer two solder joints are insensitive to the chip size for all cases. This phenomenon is attributed to the rather large CTE mismatch between the silicon die, BT substrate, solder ball and PCB, and the deflection of the whole assembly. For thinner BT substrate (0.27 mm), the maximum plastic strain always appears in the innermost solder balls. However, when the thickness of BT substrate is increased (0.54 mm), the plastic strain in the outermost solder joint becomes larger except for very big chip size (10 mm). It is interesting to note that a thicker BT substrate can considerably suppress the effect of CTE mismatch for the innermost solder joint, but, on the contrary, may result in more plastic strain in the outermost solder ball. This increase in plastic strain is due to larger global mismatch of thermal expansion from thicker BT substrate. Since the increased amount is relatively small, therefore, it is considered as having no effect on the solder joint reliability. The numerical results for a 4-row perimeter PBGA with 16 thermal balls at the centre are presented in Figure 5. The total population of solder joints is 272 balls. It is seen that the trends for the four rows of perimeter balls are more or less the same as those observed in Figure 4. However, the plastic strain appears to be very high for the thermal balls. This indicates that the thermal balls will fail much earlier than the perimeter balls due to local thermal expansion mismatch and deflection of the whole assembly. Comparing the charts in (b) and (c), it is noted that the plastic strain in thermal balls can be substantially reduced by increasing the thickness of BT substrate (thus reducing the deflection of the whole assembly). Besides, it is observed that the chip size has reverse effects for thermal balls and perimeter balls, namely, for the former, the smaller the chip size, the higher the accumulated effective plastic strain. This is mainly due to the larger deflection of the whole Page 2 of 9 Circuit World, Vol 23, Issue 2 11/20/2003 file://A:\p11.htm assembly which has less flexural stiffness to resist bending. (Note that the Young's modulus of silicon die is five times higher than that of BT substrate.) For thicker BT substrate (Figure 5(c)), the effect of chip size on the plastic strain is minimal. The major difference between the results shown in Figures 6/7 and Figures 4/5, respectively, is the magnitude of plastic strain in the innermost solder joints. Since this particular solder ball of a 5-row perimeter PBGA is closer to the silicon die than that of a 4-row one, it has a larger plastic strain. Otherwise, the general trends for 5-row and 4-row perimeter PBGA packages are quite similar. DESIGN FOR RELIABILITY Based on the results in Figures 4-7, the following concise design rules are recommended for the solder joint reliability of a PBGA assembly: 1 For a given package, smaller chip size will enhance the reliability of inner perimeter solder joints but jeopardise thermal balls at the centre. The outer perimeter solder joints are insensitive to the chip size. 2 For perimeter PBGAs without thermal balls, thicker BT substrates always improve the reliability of the innermost solder joints. It is especially beneficial for packages with larger chip size. 3 For perimeter PBGAs with thermal balls, thicker BT substrates always improve the reliability of thermal balls. The trend of perimeter solder joints with respect to the substrate thickness is insignificant since their plastic strain is considerably less than the thermal balls. 4 Without thermal balls, the innermost solder joint of 5-row perimeter PBGA packages has larger plastic strain than that of 4-row ones. However, if thermal balls exist, the difference is minimal.