J. Mater. Sci. Technol. ›› 2026, Vol. 262: 213-226.DOI: 10.1016/j.jmst.2025.10.038

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A self-attentive physics-informed and data-driven framework for predicting solder joint reliability in printed circuit board assemblies under thermal aging

Taohan Wanga, Shang Wanga,b,*, Zicheng Saa, Qing Sunb, Jiayun Fenga, Hanwen Fenga, Yanhong Tiana,b,*   

  1. aState Key Laboratory of Precision Welding & Joining of Materials and Structures, Harbin Institute of Technology, Harbin 150001, China;
    bZhengzhou Research Institute, Harbin Institute of Technology, Zhengzhou 450041, China
  • Received:2025-09-07 Revised:2025-10-21 Accepted:2025-10-22 Published:2026-08-10 Online:2025-10-30
  • Contact: *E-mail addresses: wangshang@hit.edu.cn (S. Wang), tianyh@hit.edu.cn (Y. Tian).

Abstract: Reliable prediction of solder joint microstructure evolution and mechanical degradation under thermal aging is essential for ensuring long-term reliability of electronic assemblies. However, existing approaches often require large datasets or fail to capture complex microstructure-property interactions, limiting their predictive accuracy. Here, we introduce a self-attention physics-informed neural network (SA-PINN), which embeds an Arrhenius-based diffusion model into the loss function, integrates a transformer self-attention mechanism to capture complex interactions between microstructure and performance, and employs a Squeeze-and-Excitation block for dynamic channel recalibration. Trained on 240 samples spanning widely used package types aged at 94, 120, and 150 °C, SA-PINN simultaneously predicts intermetallic compound (IMC) growth, Pb-phase coarsening, and shear strength, achieving R2 values of 0.992, 0.958, and 0.932, respectively, while reducing mean absolute error (MAE) by up to 50 % compared with strong data-driven regressors. Ablation studies confirm that both attention and channel re-weighting contribute synergistically to performance gains, and Shapley analyses quantify the main effects of microstructural and geometric descriptors on each target, consistent with experiments; meanwhile, the model-learned activation energies for IMC growth are broadly consistent with values fitted from Arrhenius plots, supporting physical consistency. This data-efficient yet physics-consistent framework offers high interpretability and can be readily extended to fatigue-life forecasting and multi-field coupling problems, thereby providing a versatile tool for rapid and reliable assessment as well as design guidance in electronic packaging.

Key words: Machine learning, Physics-informed neural network (PINN), Reliability, Shapley additive explanations, Advanced packaging