Energy-Based Nonlinear Scaling Methodology for Predicting Fatigue Life of PBGA Solder Balls under Cyclic Thermal Loading
摘要
With increasing demands for lightweight and reliable aerospace electronics, accurate fatigue life prediction of solder joints under severe thermal cycling is essential. This study presents a finite element framework for evaluating the thermo-mechanical behavior of Pb–Sn solder joints in PBGA packages. A hyperbolic sine creep model and CSED-based fatigue approach were integrated to capture both local and global damage effects. A dual-scale strategy was used—linking a two-ball local model with a 26-ball global model—through which a nonlinear scaling law was derived. This enabled extrapolation of global CSED from local results with less than 4% error and over 85% reduction in simulation time. Fatigue life was predicted based on maximum CSED to reflect edge-critical failure. Compared to linear extrapolation, the nonlinear method significantly enhanced accuracy, especially in high-cycle regimes. The approach provides a fast and physics-informed solution for early reliability screening of solder joint arrays in space electronics.