Updated Life Prediction Models for Solder Joints with Removal of Modeling Assumptions and Effect of Constitutive Equations

A. Syed
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引用次数: 58

Abstract

There are two sources of errors in any finite element based life prediction model: the finite element mesh and assumptions, and the material properties used -specifically the constitutive model used to describe the behavior of solder joints during temperature cycling. The use of these assumptions may prohibit the application of life prediction model to conditions beyond the ones used to develop the model. The author has previously proposed life prediction models for SnPb and SnAgCu solder joints using advanced finite element modeling techniques such as sub-structuring and multi-point constraints. The assumptions were necessary to increase the efficiency of solution with available computing power. With the advances in computing technology, these assumptions are no longer necessary, and more accurate life prediction can be achieved by eliminating most of the modeling assumptions. In this paper, the updated life prediction model parameters for SnAgCu solder joints are presented without the use of sub-structuring and multi-point constraints. All joints for a particular package-board interconnection are modeled as having non-linear properties. In addition, a detailed mesh refinement study is done to determine the minimum mesh density required to yield near mesh-independent results. In addition to modeling assumptions, the constitutive equation used for solder joints may also influence the life prediction model parameters. To investigate this further, the creep behavior of SnAgCu solder joints is represented by using published constitutive equations (double power law creep and hyperbolic sine equation). The results show a significant influence of constitutive equation on creep strain based life prediction model but minimum impact when energy density based approach is used
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更新焊点寿命预测模型,去除建模假设和本构方程的影响
任何基于有限元的寿命预测模型都有两个错误来源:有限元网格和假设,以及所使用的材料性能-特别是用于描述焊点在温度循环过程中的行为的本构模型。使用这些假设可能会禁止将寿命预测模型应用于用于开发模型的条件之外的条件。作者先前提出了SnPb和SnAgCu焊点寿命预测模型,使用先进的有限元建模技术,如子结构和多点约束。这些假设是在可用的计算能力下提高求解效率所必需的。随着计算技术的进步,这些假设不再是必要的,通过消除大多数建模假设可以实现更准确的寿命预测。本文提出了不使用子结构和多点约束的SnAgCu焊点寿命预测模型参数。一个特定的封装板互连的所有接头都被建模为具有非线性特性。此外,还进行了详细的网格细化研究,以确定产生接近网格独立结果所需的最小网格密度。除了建模假设外,焊点使用的本构方程也可能影响寿命预测模型参数。为了进一步研究这一点,使用已发表的本构方程(双幂律蠕变和双曲正弦方程)来表示SnAgCu焊点的蠕变行为。结果表明,本构方程对基于蠕变应变的寿命预测模型影响显著,而基于能量密度的寿命预测模型影响最小
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