• 3D数字图像驱动的封装微结构精细化建模与高保真分析方法

    A 3D digital image-driven method for fine modeling and high-fidelity analysis of microstructures in packaging with microscale resolution

    • 针对传统仿真建模方法难以准确反映封装微结构真实几何形貌的问题,提出一种基于真实几何形貌的精细化建模与高保真分析方法。利用高精度计算机断层扫描系统对BGA封装电路板试样进行扫描,发现焊点内部普遍存在孔洞缺陷,144个焊点中有120个含有孔洞,占比达83.3%,并对焊点直径、等效直径及内部孔洞形貌进行了统计分析。通过将获取的焊点三维数字图像数据转换为四面体网格模型,结合Anand黏塑性本构模型进行有限元仿真计算,能够更精确地描述焊点表面不规则形貌及内部孔洞所引发的应力与应变力学响应,且仿真结果与应力理论计算值在量级上保持一致。分析表明:在温度循环载荷条件下,焊点表面几何形状及内部孔洞显著影响拉压应力分布,导致等效蠕变增大,进而明显降低电路板的疲劳寿命。所提方法有效弥补了传统建模手段难以反映焊点真实结构的不足,能够更准确、精细地评估含孔洞电路板的热疲劳寿命,并对裂纹起始位置与扩展方向具有一定的预测能力。

       

      Abstract: To address the limitation of conventional simulation modeling methods in accurately representing the actual geometric morphology of packaged microstructures, this paper proposes a refined modeling and high-fidelity analysis approach based on real geometric configurations. A high-precision computed tomography (CT) system is employed to scan a BGA-packaged printed circuit board (PCB) specimen. The inspection revealed that voids are commonly present inside solder joints, with 120 out of 144 joints (83.3%) containing voids. Statistical analyses are conducted on joint diameter, equivalent diameter, and internal void morphology. By converting the acquired three-dimensional digital image data of the solder joints into tetrahedral mesh models and incorporating the Anand viscoplastic constitutive model in finite element simulations, the proposed method enables a more accurate characterization of the stress and strain mechanical responses induced by irregular surface geometries and internal voids. The simulation results are consistent in magnitude with theoretical stress calculations. Further analysis indicates that under temperature cycling loading, both the surface geometry and internal voids of solder joints significantly affect the stress distribution under tensile and compressive loads, leading to increased equivalent creep and consequently a marked reduction in the fatigue life of the PCB. The proposed method effectively overcomes the inadequacy of traditional modeling approaches in reflecting the actual solder joint structure, enabling a more accurate and refined assessment of the thermal fatigue life of PCBs containing voids, while also offering predictive capability regarding the initiation site and propagation direction of cracks.

       

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