Abstract
The cyclic growth and recovery of warpage were observed in experiments on Si/solder/Cu layered plates subjected to cyclic thermal loading [1]. In the present study, the experiments were analyzed using representative material models for the solder and Cu layers in finite element analysis. The warpage growth/recovery behavior observed was reproduced well in the analysis using the Armstrong-Frederick and Ohno-Wang models for the solder and Cu layers, respectively. Material ratcheting due to non-proportional cyclic loading was found to happen in the solder layer as a consequence of the CTE mismatch, while material ratcheting due to proportional cyclic loading occurred in the Cu layer as a result of the significant temperature dependence of viscoplasticity in the solder layer.
Publisher
Trans Tech Publications, Ltd.
Subject
Mechanical Engineering,Mechanics of Materials,General Materials Science
Reference11 articles.
1. H. Tanie, K. Nakane, Y. Urata, M. Tsuda, N. Ohno, Warpage variations of Si/solder/OFHC-Cu layered plates subjected to cyclic thermal loading, Microelectron. Reliab. 51 (2011) 1840-1844.
2. M. Ishiko, Recent R&D activities of power devices for hybrid electric vehicles, R&D Rev. Toyota CRDL 39 (2004) 1-9.
3. K. Nakane, N. Ohno, M. Tsuda, Y. Yagi, I. Nakagawa, T. Atsumi, Thermal ratcheting of solder-bonded elastic and elastoplastic layers, Int. J. Plast. 24 (2008) 1819-1836.
4. K. Nakane, N. Ohno, H. Tanie, Thermal ratcheting of solder-bonded layered plates: cyclic growth and recovery of deflection, Comput. Mech. 46 (2010) 259-268.
5. P.J. Armstrong, C.O. Frederick, A mathematical representation of the multiaxial Bauschinger effect, CEGB Report RD/BN/731, Berekeley Nuclear Laboratories, (1966).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献