Experimental and theoretical study on thermal properties of porous PDMS

References

• J. R. Ives, S. M. Mirsattari, and D. Jones, “Miniaturized, on-head, invasive electrode connector integrated EEG data acquisition system,” Clin. Neurophysiol., vol. 118, no. 7, pp. 1633–1638, 2007. DOI: 10.1016/j.clinph.2007.03.013.
   PubMed Web of Science ®Google Scholar
• J. Jeong et al., “Materials and optimized designs for human‐machine interfaces via epidermal electronics,” Adv. Mater., vol. 25, no. 47, pp. 6776–6776, 2013. DOI: 10.1002/adma.201370294.
   Web of Science ®Google Scholar
• R. C. Webb et al., “Ultrathin conformal devices for precise and continuous thermal characterization of human skin,” Nat. Mater., vol. 12, no. 11, pp. 1078–1078, 2013. DOI: 10.1038/nmat3779.
   Web of Science ®Google Scholar
• D. H. Kim et al., “Epidermal electronics,” Science, vol. 333, no. 6044, pp. 838–843, 2011. DOI: 10.1126/science.1206157.
   PubMed Web of Science ®Google Scholar
• K. D. Harris, A. L. Elias, and H. J. Chung, “Flexible electronics under strain: a review of mechanical characterization and durability enhancement strategies,” J. Mater. Sci., vol. 51, no. 6, pp. 2771–2805, 2016. DOI: 10.1007/s10853-015-9643-3.
   Web of Science ®Google Scholar
• S. C. B. Mannsfeld et al., “Highly sensitive flexible pressure sensors with microstructured rubber dielectric layers,” Nat. Mater., vol. 9, no. 10, pp. 859–864, 2010. DOI: 10.1038/nmat2834.
   PubMed Web of Science ®Google Scholar
• R. H. Kim et al., “Waterproof AlInGaP optoelectronics on stretchable substrates with applications in biomedicine and robotics,” Nat. Mater., vol. 9, no. 11, pp. 929–937, 2010. DOI: 10.1038/nmat2879.
   PubMed Web of Science ®Google Scholar
• H. C. Ko et al., “A hemispherical electronic eye camera based on compressible silicon optoelectronics,” Nature, vol. 454, no. 7205, pp. 748–753, 2008. DOI: 10.1038/nature07113.
   PubMed Web of Science ®Google Scholar
• C. Lü et al., “Mechanics of tunable hemispherical electronic eye camera systems that combine rigid device elements with soft elastomers,” ASME J. Appl. Mech., vol. 80, no. 6, pp. 061022, 2013. DOI: 10.1115/1.4023962.
   Web of Science ®Google Scholar
• W. H. Yeo et al., “Multi‐functional electronics: multifunctional epidermal electronics printed directly onto the skin,” Adv. Mater., vol. 25, no. 20, pp. 2773–2778, 2013.
   PubMed Web of Science ®Google Scholar
• H. Cheng and S. Wang, “Mechanics of interfacial delamination in epidermal electronics systems,” ASME J. Appl. Mech., vol. 81, no. 4, pp. 044501, 2013. DOI: 10.1115/1.4025305.
   Web of Science ®Google Scholar
• X. Feng et al., “Review on stretchable and flexible inorganic electronics,” Acta Phys. Sin., vol. 63, no. 1, pp. 014201, 2014 (in Chinese).
   Google Scholar
• W. Xu and T. J. Lu, “Flexible electronics system and their mechanical properties,” Adv. Mech., vol. 38, no. 2, pp. 137–150, 2008 (in Chinese).
   Google Scholar
• J. H. Yuan, M. Pharr, X. Feng, J. A. Rogers, and Y. Huang, “Design of stretchable electronics against impact,” ASME J. Appl. Mech., vol. 83, no. 10, pp. 101009, 2016. DOI: 10.1115/1.4034226.
   Web of Science ®Google Scholar
• X. Meng, B. Liu, Y. Wang, T. Zhang, and J. Xiao, “Third-order polynomials model for analyzing multilayer hard/soft materials in flexible electronics,” J. Appl. Mech., vol. 83, no. 8, pp. 081011, 2016. DOI: 10.1115/1.4033754.
   Web of Science ®Google Scholar
• J. Zhao, Y. Zhang, X. Li, and M. Shi, “An improved design of the substrate of stretchable gallium arsenide photovoltaics,” ASME J. Appl. Mech., vol. 86, no. 3, pp. 031009, 2019. DOI: 10.1115/1.4042320.
   Web of Science ®Google Scholar
• R. L. Williams, D. J. Wilson, and N. P. Rhodes, “Stability of plasma-treated silicone rubber and its influence on the interfacial aspects of blood compatibility,” Biomaterials, vol. 25, no. 19, pp. 4659–4673, 2004. DOI: 10.1016/j.biomaterials.2003.12.010.
   PubMed Web of Science ®Google Scholar
• S. Nie, C. Zhang, and J. Song, “Thermal management of epidermal electronic devices/skin system considering insensible sweating,” Sci. Rep., vol. 8, no. 1, pp. 14121, 2018.
   PubMedGoogle Scholar
• H. Y. Wang, T. Kobayashi, H. Saitoh, and N. Fujii, “Porous polydimethylsiloxane membranes for enzyme immobilization,” J. Appl. Polym. Sci., vol. 60, no. 13, pp. 2339–2346, 1996. DOI: 10.1002/(SICI)1097-4628(19960627)60:13<2339::AID-APP5>3.0.CO;2-F.
   Web of Science ®Google Scholar
• M. Juchniewicz et al., “Porous crosslinked PDMS-microchannels coatings,” Sens. Actuators B: Chem., vol. 126, no. 1, pp. 68–72, 2007. DOI: 10.1016/j.snb.2006.10.041.
   Web of Science ®Google Scholar
• M. T. Khorasani, H. Mirzadeh, and Z. Kermani, “Wettability of porous polydimethylsiloxane surface: morphology study,” Appl. Surf. Sci., vol. 242, no. 3–4, pp. 339–345, 2005. DOI: 10.1016/j.apsusc.2004.08.035.
   Web of Science ®Google Scholar
• Q. Li, T. Duan, J. Shao, and H. Yu, “Fabrication method for structured porous polydimethylsiloxane (PDMS),” J. Mater. Sci., vol. 53, no. 16, pp. 1–10, 2018.
   Web of Science ®Google Scholar
• S. Choi, H. Lee, R. Ghaffari, T. Hyeon, and D. H. Kim, “Recent advances in flexible and stretchable bio-electronic devices integrated with nanomaterials,” Adv. Mater., vol. 28, no. 22, pp. 4203–4218, 2016. DOI: 10.1002/adma.201504150.
   PubMed Web of Science ®Google Scholar
• J. Song, X. Feng, and Y. Huang, “Mechanics and thermal management of stretchable inorganic electronics,” Natl. Sci. Rev., vol. 3, no. 1, pp. 128–143, 2016. DOI: 10.1093/nsr/nwv078.
   PubMed Web of Science ®Google Scholar
• Y. Y. Gao, Y. H. Li, R. Li, and J. Z. Song, “An accurate thermomechanical model for laser-driven microtransfer printing,” ASME J. Appl. Mech., vol. 84, no. 6, pp. 064501, 2017. DOI: 10.1115/1.4036257.
   Web of Science ®Google Scholar
• T. Luo, K. Esfarjani, J. Shiomi, A. Henry, and G. Chen, “Molecular dynamics simulation of thermal energy transport in polydimethylsiloxane (PDMS),” J. Appl. Phys., vol. 109, no. 7, pp. 074321, 2011. DOI: 10.1063/1.3569862.
   Web of Science ®Google Scholar
• N. Al-Khudary et al., “Measurement of the thermal conductivity of polydimethylsiloxane polymer using the three omega method,” Key Eng. Mater., vol. 613, pp. 259–266, 2014. DOI: 10.4028/www.scientific.net/KEM.613.259.
   Google Scholar
• E. Kamseu et al., “Bulk composition and microstructure dependence of effective thermal conductivity of porous inorganic polymer cements,” J. Eur. Ceram. Soc., vol. 32, no. 8, pp. 1593–1603, 2012. DOI: 10.1016/j.jeurceramsoc.2011.12.030.
   Web of Science ®Google Scholar
• X. Huai, W. Wang, and Z. Li, “Analysis of the effective thermal conductivity of fractal porous media,” Appl. Therm. Eng., vol. 27, no. 17–18, pp. 2815–2821, 2007. DOI: 10.1016/j.applthermaleng.2007.01.031.
   Web of Science ®Google Scholar
• A. Bouguerra, A. A. Aït-Mokhtar, O. Amiri, and M. B. Diop, “Measurement of thermal conductivity, thermal diffusivity and heat capacity of highly porous building materials using transient plane source technique,” Int. Commun. Heat Mass Transf., vol. 28, no. 8, pp. 1065–1078, 2001. DOI: 10.1016/S0735-1933(01)00310-4.
   Web of Science ®Google Scholar
• C. Huang, Z. Bian, C. Fang, X. Zhou, and J. Song, “Experimental and theoretical study on mechanical properties of porous PDMS,” ASME J. Appl. Mech., vol. 85, no. 4, pp. 041009, 2018. DOI: 10.1115/1.4039041.
   Web of Science ®Google Scholar
• B. Hassani and E. Hinton, “A review of homogenization and topology optimization I—homogenization theory for media with periodic structure,” Comput. Struct., vol. 69, no. 6, pp. 707–717, 1998. DOI: 10.1016/S0045-7949(98)00131-X.
   Web of Science ®Google Scholar
• G. Cheng and S. Liu, “Prediction of thermal conductivity of unidirectional fiber reinforced composites,” Acta Mater. Compos. Sin., vol. 13, no. 1, pp. 78–85, 1996 (in Chinese).
   Google Scholar
• H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed. New York: Oxford University Press, 1959, pp. 101.
   Google Scholar
• W. J. Parker, R. J. Jenkins, C. P. Butler, and G. L. Abbott, “Flash method of determining thermal diffusivity, heat capacity, and thermal conductivity,” J. Appl. Phys., vol. 32, no. 9, pp. 1679–1684, 1961. DOI: 10.1063/1.1728417.
   Web of Science ®Google Scholar
• Y. Zhang, S. Shang, and Y. Liang, “A new algorithm of asymptotic homogenization method for predicting the effective thermal conductivity and its implementation of periodic composite materials,” Acta Mater. Compos. Sin., vol. 35, no. 1, pp. 208–217, 2018 (in Chinese).
   Google Scholar
• C. C. Mei, J. L. Auriault, and C. O. Ng, “Some applications of the homogenization theory,” Adv. Appl. Mech., vol. 32, no. 3, pp. 277–348, 1996.
   Google Scholar