Strength correlation of power chips by finite element method

Yumin Liu, Changsun Yun, Y. Liu
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Abstract

The ultimate tensile strength of silicon chips can be measured by the three-point bending test. During the test, the breaking load is recorded. The tensile strength of silicon chips can be calculated through the formula between stress and breaking load derived from the beam bending theory. The tests are characterized at die level, which makes it convenient to prepare for the test specimen. However, the dimension of silicon chips may not fall in the range of required geometry, and testing for bigger chip size may have more uncertainty. In this case, the calculated data may over-estimate or under-estimate the strength values. FE modeling technique is used to do correlation with the test data. The 3-D FE model of the silicon chip is created to simulate the three-point bending test. The breaking force taken from the experimental results is applied as the loading condition. The max tensile stress from the simulation results is taken as the tensile strength of the silicon chips. The study of several cases of power chips with different size and thickness is conducted by the experimental three-point bending tests and FE modeling. It is found that in some cases the test results with beam theory and FEA simulation results agree quite well, but in other cases, there is some gap, so correlation of the testing data by the beam theory and by FE modeling is necessary.
基于有限元法的功率芯片强度关联
硅片的极限抗拉强度可以通过三点弯曲试验来测量。在试验过程中,记录断裂载荷。硅片的抗拉强度可由梁弯曲理论导出的应力-断裂载荷关系式来计算。试验在模具水平上进行,便于试样的准备。然而,硅芯片的尺寸可能不会落在要求的几何尺寸范围内,并且测试更大的芯片尺寸可能会有更多的不确定性。在这种情况下,计算数据可能高估或低估强度值。利用有限元建模技术对试验数据进行了相关分析。建立了硅芯片的三维有限元模型,模拟了三点弯曲试验。采用实验结果得出的断裂力作为加载条件。将仿真结果中的最大拉应力作为硅片的抗拉强度。通过实验三点弯曲试验和有限元建模,对几种不同尺寸和厚度的功率芯片进行了研究。研究发现,在某些情况下,梁理论的试验结果与有限元模拟结果吻合较好,但在另一些情况下,试验数据存在一定的差距,因此有必要将梁理论的试验数据与有限元建模的试验数据进行关联。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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