A time–temperature–moisture concentration superposition principle that describes the relaxation behavior of epoxide molding compounds for microelectronics packaging

References

• Fan, X. 2008. EuroSimE 2008. Presented at the International Conference on Thermal, Mechanical, Multi-Physics Simulation and Experiments in Microelectronics and Micro-Systems, IEEE, Freiburg im Breisgau, Germany, pp. 1–14.
   Google Scholar
• Kim, Y., D. Liu, H. Lee, R. Liu, D. Sengupta, and S. Park. 2015. Investigation of stress in MEMS sensor device due to hygroscopic and viscoelastic behavior of molding compound. IEEE Trans. Compon. Packag. Manufact. Technol. 5:945–955.
   Web of Science ®Google Scholar
• Bonnaillie, L., and P. Tomasula. 2015. Application of humidity-controlled dynamic mechanical analysis (DMA-RH) to moisture-sensitive edible casein films for use in food packaging. Polymers 7:91–114.
   Web of Science ®Google Scholar
• Dimarzio, E. A., and J. H. Gibbs. 1963. Molecular interpretation of glass temperature depression by plasticizers. J. Polym. Sci. A Gen. Pap. 1:1417–1428.
   Web of Science ®Google Scholar
• Ellis, T. S. 1988. Moisture-induced plasticization of amorphous polyamides and their blends. J. Appl. Polym. Sci. 36:451–466.
   Web of Science ®Google Scholar
• Yu, Y.-J., K. Hearon, T. S. Wilson, and D. J. Maitland. 2011. The effect of moisture absorption on the physical properties of polyurethane shape memory polymer foams. Smart Mater Struct. 20:085010.
   PubMed Web of Science ®Google Scholar
• Baschek, G., G. Hartwig, and F. Zahradnik. 1999. Effect of water absorption in polymers at low and high temperatures. Polymer 40:3433–3441.
   Web of Science ®Google Scholar
• Walter, H., E. Dermitzaki, B. Wunderle, and B. Michel. 2010. Influence of moisture on humidity sensitive material parameters of polymers used in microelectronic applications. 3rd Electronics System Integration Technology Conference, IEEE, Berlin, Germany, pp. 1–5.
   Google Scholar
• Zhou, S.-M., K. Tashiro, and T. Ii. 2001. Confirmation of universality of time-humidity superposition principle for various water-absorbable polymers through dynamic viscoelastic measurements under controlled conditions of relative humidity and temperature. J. Polym. Sci. B Polym. Phys. 39:1638–1650.
   Web of Science ®Google Scholar
• Maksimov, R. D., E. A. Sokolov, and V. P. Mochalov. 1976. Effect of temperature and moisture on the creep of polymeric materials 1. One-dimensional extension under stationary temperature-moisture conditions. Polym. Mech. 11:334–339.
   Google Scholar
• Krauklis, A. E., A. G. Akulichev, A. I. Gagani, and A. T. Echtermeyer. 2019. Time–temperature–plasticization superposition principle: Predicting creep of a plasticized epoxy. Polymers 11:1848.
   PubMed Web of Science ®Google Scholar
• Fujita, H., and A. Kishimoto. 1958. Diffusion-controlled stress relaxation in polymers. II. Stress relaxation in swollen polymers. J. Polym. Sci. 28:547–567.
   Web of Science ®Google Scholar
• Onogi, S., K. Sasaguri, T. Adachi, and S. Ogihara. 1962. Time–humidity superposition in some crystalline polymers. J. Polym. Sci. 58:1–17.
   Web of Science ®Google Scholar
• Emri, I. 1992. On the influence of moisture on the mechanical properties of polymers. Mater. Forum 16: 123–131.
   Google Scholar
• Ishisaka, A., and M. Kawagoe. 2004. Examination of the time-water content superposition on the dynamic viscoelasticity of moistened polyamide 6 and epoxy. J. Appl. Polym. Sci. 93:560–567.
   Web of Science ®Google Scholar
• Zhang, X., H. Hu, and M. Guo. 2015. Relaxation of a hydrophilic polymer induced by moisture desorption through the glass transition. Phys. Chem. Chem. Phys. 17:3186–3195.
   PubMed Web of Science ®Google Scholar
• Satterfield, M. B., and J. B. Benziger. 2009. Viscoelastic properties of nafion at elevated temperature and humidity. J. Polym. Sci. B Polym. Phys. 47:11–24.
   Web of Science ®Google Scholar
• Kwan, K. S. 1998. The Role of Penetrant Structure in the Transport and Mechanical Properties of a Thermoset Adhesive. Blacksburg: Faculty of the Virginia Polytechnic Institute.
   Google Scholar
• Louhichi, A., A. R. Jacob, L. Bouteiller, and D. Vlassopoulos. 2017. Humidity affects the viscoelastic properties of supramolecular living polymers. J. Rheol. 61:1173–1182.
   Web of Science ®Google Scholar
• Uppalapati, M., and D. J. Green. 2006. Effect of relative humidity on the viscoelastic and mechanical properties of spray-dried powder compacts. J. Am. Ceram. Soc. 89:1212–1217.
   Web of Science ®Google Scholar
• Xiaosong, Ma, K. M. B. Jansen. and L. J. Ernst 2006. Moisture effects on a system in package carrier. 7th International Conference on Thermal, Mechanical, Multi-Physics Simulation and Experiments in Microelectronics and Micro-Systems, IEEE, Como, Italy, pp. 1–5.
   Google Scholar
• Williams, M. L., R. F. Landel, and J. D. Ferry. 1955. The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J. Am. Chem. Soc. 77:3701–3707.
   Web of Science ®Google Scholar
• Dealy, J., and D. Plazek. 2009. Time-temperature superposition—a users guide. Rheol. Bull. 78:16–31.
   Google Scholar
• Rouleau, L., J.-F. Deü, A. Legay, and F. Le Lay. 2013. Application of Kramers–Kronig relations to time–temperature superposition for viscoelastic materials. Mech. Mater. 65:66–75.
   Web of Science ®Google Scholar
• Christensen, R. M. 1982. Theory of Viscoelasticity: An Introduction. New York: Academic Press.
   Google Scholar
• Ferry, J. D. 1980. Viscoelastic Properties of Polymers. New York: Wiley.
   Google Scholar
• Vogel, D. H. n.d. Das temperaturabhaengigkeitsgesetz der viskositaet von fluessigkeiten. Phys. Z. 22:645.
   Google Scholar
• Adam, G., and J. H. Gibbs. 1965. On the temperature dependence of cooperative relaxation properties in glass‐forming liquids. J. Chem. Phys. 43:139–146.
   Web of Science ®Google Scholar
• Mauro, J. C., Y. Yue, A. J. Ellison, P. K. Gupta, and D. C. Allan. 2009. Viscosity of glass-forming liquids. Proc. Natl. Acad. Sci. USA. 106:19780–19784.
   PubMed Web of Science ®Google Scholar
• Doolittle, A. K. 1951. Studies in Newtonian flow. II. The dependence of the viscosity of liquids on free‐space. J. Appl. Phys. 22:1471–1475.
   Web of Science ®Google Scholar
• White, R. P., and J. E. G. Lipson. 2016. Polymer free volume and its connection to the glass transition. Macromolecules 49:3987–4007.
   Web of Science ®Google Scholar
• Ferry, J. D., and R. A. Stratton. 1960. The free volume interpretation of the dependence of viscosities and viscoelastic relaxation times on concentration, pressure, and tensile strain. Kolloid-Z. 171:107–111.
   Google Scholar
• Vrentas, J. S., and J. L. Duda. 1977. Diffusion in polymer—solvent systems. I. Reexamination of the free-volume theory. J. Polym. Sci. Polym. Phys. Ed. 15:403–416.
   Web of Science ®Google Scholar
• Cohen, M. H., and D. Turnbull. 1959. Molecular transport in liquids and glasses. J. Chem. Phys. 31:1164–1169.
   Web of Science ®Google Scholar
• Fulcher, G. S. 1925. Analysis of recent measurements of the viscosity of glasses. J. Am. Ceram. Soc. 8:339–355.
   Web of Science ®Google Scholar
• Mauro, J. C., D. C. Allan, and M. Potuzak. 2009. Nonequilibrium viscosity of glass. Phys. Rev. B. 80:094204.
   Web of Science ®Google Scholar
• Di Marzio, E. A., and A. J. M. Yang. 1997. Configurational entropy approach to the kinetics of glasses. J. Res. Natl. Inst. Stand. Technol. 102:135.
   PubMed Web of Science ®Google Scholar
• O’Connell, P. A., and G. B. McKenna. 1999. Arrhenius-type temperature dependence of the segmental relaxation below Tg. J. Chem. Phys. 110:11054–11060.
   Web of Science ®Google Scholar
• Fox, T. G., and P. J. Flory. 1950. Second‐order transition temperatures and related properties of polystyrene. I. Influence of molecular weight. J. Appl. Phys. 21:581–591.
   Web of Science ®Google Scholar
• Wong, E. H., and S. B. Park. 2016. Moisture diffusion modeling – a critical review. Microelectron. Reliab. 65:318–326.
   Web of Science ®Google Scholar
• Chen, L., J. Zhou, H. Chu, G. Zhang, and X. Fan. 2017. Modeling nonlinear moisture diffusion in inhomogeneous media. Microelectron. Reliab. 75:162–170.
   Web of Science ®Google Scholar
• Ma, L., R. Joshi, K. Keith Newman, and X. Fan. 2019. Improved finite element modeling of moisture diffusion considering discontinuity at material interfaces in electronic packages. 2019 IEEE 69th Electronic Components Technology Conference, Las Vegas, NV, USA, pp. 806–810.
   Google Scholar