Simulation of electromigration induced stress of solder

F. Su, X. Pan, Zheng Zhang, Q. Liu
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Abstract

In this paper, failure modes of solder under electromigration were shown, the failure mechanism was usually attributed to tensile stress at cathode and compressive stress at anode. To evaluate the electromigration induced stress in solder, a finite element model was developed basing on the coupling equation of stress-mass diffusion with the aid of user development on the platform of ABAQUS. Simulation precision of the finite element model was confirmed with analytical results of a benchmark problem first. Then electromigration induced stress in solder was instigated with the finite element model, the maximum sphere stress was found to be about 50 MPa. Vacancy density and its variation with time were also investigated, it was found that vacancy density at cathode increased with current stressing time. These results can be used to interpret the electromigration induced failure and provide a basis for comprehensive evaluation of solder reliability.
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电迁移引起焊料应力的模拟
本文分析了电迁移过程中焊料的失效模式,其失效机制通常归结为阴极的拉应力和阳极的压应力。为了评估焊料中电迁移引起的应力,在ABAQUS平台上,借助用户开发,建立了基于应力-质量扩散耦合方程的有限元模型。首先用一个基准问题的解析结果验证了有限元模型的仿真精度。利用有限元模型对焊料中电迁移引起的应力进行了模拟,得到了最大球体应力约为50 MPa。研究了阴极空位密度及其随时间的变化规律,发现阴极空位密度随电流施加时间的增加而增加。这些结果可以用来解释电迁移引起的失效,并为焊料可靠性的综合评价提供依据。
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