journal article·2022-12

Mechanism of resistance relaxation and hysteresis in viscoelastic piezoresistive polymer nanocomposites

Wolfgang Klimm, Kawai Kwok

Publisher page

Abstract

Carbon nanotube polymer nanocomposites exhibit outstanding mechanical, electrical, and thermal properties, enabling a myriad of sensor and actuation applications. Piezoresistivity in particular is achieved by the creation of a deformation-sensitive electrical conductor network and is the underlying effect of most structural health and motion sensing. The polymer matrix, however, introduces time-dependent mechanical behavior known as viscoelasticity. Viscoelasticity affects the relationship between relative resistance change and mechanical strain over time and becomes particularly important over long times, as well as at high temperatures, radiation aging, and in the presence of high mechanical stresses. The characterization of these influences on the piezoresistivity is therefore crucial to maintain sensor stability under harsh conditions. While experimental studies have been conducted, the effect of viscoelasticity has not been thorougly analyzed. Here we study resistance relaxation and hysteresis in carbon nanotube nanocomposites under the influence of matrix viscoelasticity. First we characterize the multiaxial viscoelastic behavior directly without invoking the common assumption of constant Poisson’s ratio, which is central to predicting resistnace relaxation and hysteresis. We then apply the viscoelastic master curve to a micromechanics-based numerical piezoresistive model and study the relative resistance change under relaxation, creep, and deformation-controlled cyclic loading. The results are compared to the common assumptions of constant Poisson’s ratio and constant bulk modulus. We show that the time-dependent transverse deformation leads to network compaction and is the mechanism behind resistance relaxation and hysteresis.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Carbon Nanotubes in Composites · Conducting polymers and applications · Advanced Sensor and Energy Harvesting Materials

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (55)

Show source-provided references
1. Aili, A., Vandamme, M., Torrenti, J.-M., Masson, B.: Theoretical and practical differences between creep and relaxation Poisson’s ratios in linear viscoelasticity. Mech. Time-Dependent Mater. 19(4), 537–555 (2015).10.1007/s11043-015-9277-5 ↗
2. Avilés, F., Oliva-Avilés, A.I., Cen-Puc, M.: Piezoresistivity, strain, and damage self-sensing of polymer composites filled with carbon nanostructures. Adv. Eng. Mater. 20(7), 1701159 (2018). https://doi.org/10.1002/adem.20170115910.1002/adem.201701159 ↗
3. Baptista, F.R., Belhout, S.A., Giordani, S., Quinn, S.J.: Recent developments in carbon nanomaterial sensors. Chem. Soc. Rev. 44(13), 4433–4453 (2015). https://doi.org/10.1039/c4cs00379a10.1039/c4cs00379a ↗
4. Büttiker, M., Imry, Y., Landauer, R., Pinhas, S.: Generalized many-channel conductance formula with application to small rings. Phys. Rev. B 31(10), 6207–6215 (1985). https://doi.org/10.1103/PhysRevB.31.620710.1103/PhysRevB.31.6207 ↗
5. Cao, X., Wei, X., Li, G., Hu, C., Dai, K., Guo, J., Zheng, G., Liu, C., Shen, C., Guo, Z.: Strain sensing behaviors of epoxy nanocomposites with carbon nanotubes under cyclic deformation. Polymer 112, 1–9 (2017). https://doi.org/10.1016/j.polymer.2017.01.06810.1016/j.polymer.2017.01.068 ↗
6. de Heer, W.A., Châtelain, A., Ugarte, D.: A carbon nanotube field-emission electron source. Science 270(5239), 1179–1180 (1995). https://doi.org/10.1126/science.270.5239.117910.1126/science.270.5239.1179 ↗
7. Deng, T.H., Knauss, W.G.: The temperature and frequency dependence of the bulk compliance of poly(vinyl acetate). A Re-Exam. Mech. Time-Dependent Mater. 1(1), 33–49 (1997). https://doi.org/10.1023/A:100973422530410.1023/A:1009734225304 ↗
8. Duan, L., Fu, S., Deng, H., Zhang, Q., Wang, K., Chen, F., Fu, Q.: The resistivity-strain behavior of conductive polymer composites: stability and sensitivity. J. Mater. Chem. A 2(40), 17085–17098 (2014). https://doi.org/10.1039/C4TA03645J10.1039/C4TA03645J ↗
9. Gao, S.L., Zhuang, R.C., Zhang, J., Liu, J.W., Mäder, E.: Class fibers with carbon nanotube networks as multifunctional sensors. Adv. Func. Mater. 20(12), 1885–1893 (2010). https://doi.org/10.1002/adfm.20100028310.1002/adfm.201000283 ↗
10. Girifalco, L.A., Hodak, M., Lee, R.S.: Carbon nanotubes, buckyballs, ropes, and a universal graphitic potential. Phys. Rev. B 62(19), 13104–13110 (2000). https://doi.org/10.1103/PhysRevB.62.1310410.1103/PhysRevB.62.13104 ↗
11. Harris, P.J.F.: Carbon nanotube composites. Int. Mater. Rev. 49(1), 31–43 (2004). https://doi.org/10.1179/09506600422501050510.1179/095066004225010505 ↗
12. Hertel, T., Walkup, R.E., Avouris, P.: Deformation of carbon nanotubes by surface van der Waals forces. Phys. Rev. B - Condensed Matter and Mater. Phys. 58(20), 13870–13873 (1998). https://doi.org/10.1103/PhysRevB.58.1387010.1103/PhysRevB.58.13870 ↗
13. Hilton, H.H.: Implications and constraints of time-independent Poisson ratios in linear isotropic and anisotropic viscoelasticity. J. Elast. 63(3), 221–251 (2001). https://doi.org/10.1023/A:101445761386310.1023/A:1014457613863 ↗
14. Hilton, H.: The elusive and fickle viscoelastic poisson’s ratio and its relation to the elastic-viscoelastic correspondence principle. J. Mech. Mater. Struct. 4(7–8), 1341–1364 (2009). https://doi.org/10.2140/jomms.2009.4.134110.2140/jomms.2009.4.1341 ↗
15. Hilton, H.H.: Elastic and viscoelastic poisson’s ratios: the theoretical mechanics perspective. Mater. Sci. Appl. 08(04), 291–332 (2017). https://doi.org/10.4236/msa.2017.8402110.4236/msa.2017.84021 ↗
16. Hilton, H.H., Yi, S.: The significance of (an)isotropic viscoelastic Poisson ratio stress and time dependencies. Int. J. Solids Struct. 35(23), 3081–3095 (1998). https://doi.org/10.1016/S0020-7683(97)00357-010.1016/S0020-7683(97)00357-0 ↗
17. Hobara, R., Yoshimoto, S., Ikuno, T., Katayama, M., Yamauchi, N., Wongwiriyapan, W., Honda, S.I., Matsuda, I., Hasegawa, S., Oura, K.: Electronic transport in multiwalled carbon nanotubes contacted with patterned electrodes. Japanese J. Appl. Phys., Part 2: Letters 43(8 B), 1081–1084 (2004). https://doi.org/10.1143/JJAP.43.L108110.1143/JJAP.43.L1081 ↗
18. Huang, J., Mao, C., Zhu, Y., Jiang, W., Yang, X.: Control of carbon nanotubes at the interface of a co-continuous immiscible polymer blend to fabricate conductive composites with ultralow percolation thresholds. Carbon 73, 267–274 (2014). https://doi.org/10.1016/j.carbon.2014.02.06310.1016/j.carbon.2014.02.063 ↗
19. Hu, N., Karube, Y., Yan, C., Masuda, Z., Fukunaga, H.: Tunneling effect in a polymer/carbon nanotube nanocomposite strain sensor. Acta Mater. 56(13), 2929–2936 (2008). https://doi.org/10.1016/j.actamat.2008.02.03010.1016/j.actamat.2008.02.030 ↗
20. Hu, N., Karube, Y., Arai, M., Watanabe, T., Yan, C., Li, Y., Liu, Y., Fukunaga, H.: Investigation on sensitivity of a polymer/carbon nanotube composite strain sensor. Carbon 48(3), 680–687 (2010). https://doi.org/10.1016/j.carbon.2009.10.01210.1016/j.carbon.2009.10.012 ↗
21. Jerabek, M., Tscharnuter, D., Major, Z., Ravi-Chandar, K., Lang, R.W.: Relaxation behavior of neat and particulate filled polypropylene in uniaxial and multiaxial compression. Mech. Time-Dependent Mater. 14(1), 47–68 (2010). https://doi.org/10.1007/s11043-009-9092-y10.1007/s11043-009-9092-y ↗
22. Jin, Z., Pramoda, K.P., Xu, G., Goh, S.H.: Dynamic mechanical behavior of melt-processed multi-walled carbon nanotube/poly(methyl methacrylate) composites. Chem. Phys. Lett. 337(1–3), 43–47 (2001). https://doi.org/10.1016/S0009-2614(01)00186-510.1016/S0009-2614(01)00186-5 ↗
23. Khan, K.A., Hilton, H.H.: On inconstant poisson’s ratios in non-homogeneous elastic media. J. Therm. Stress. 33(1), 29–36 (2009). https://doi.org/10.1080/0149573090340877310.1080/01495730903408773 ↗
24. Klimm, W.J., Kwok, K.: Computational analysis of tunneling conduction in piezoresistive carbon nanotube polymer composites. Under Rev. (2022)10.1088/1361-6528/ac9c0d ↗
25. Klimm, W.J., Kwok, K.: Tunneling Resistance Model for Piezoresistive Carbon Nanotube Polym. Composit. Under Review (2022)10.1088/1361-6528/ac9c0d ↗
26. Lakes, R.S., Wineman, A.: On poisson’s ratio in linearly viscoelastic solids. J. Elast. 85(1), 45–63 (2006). https://doi.org/10.1007/s10659-006-9070-410.1007/s10659-006-9070-4 ↗
27. Liang, J., Wang, Y., Huang, Y., Ma, Y., Liu, Z., Cai, J., Zhang, C., Gao, H., Chen, Y.: Electromagnetic interference shielding of graphene/epoxy composites. Carbon 47(3), 922–925 (2009). https://doi.org/10.1016/j.carbon.2008.12.03810.1016/j.carbon.2008.12.038 ↗
28. Li, H.J., Lu, W.G., Li, J.J., Bai, X.D., Gu, C.Z.: Multichannel ballistic transport in multiwall carbon nanotubes. Phys. Rev. Lett. 95(8) (2005). https://doi.org/10.1103/PhysRevLett.95.08660110.1103/PhysRevLett.95.086601 ↗
29. Li, S., Meng Lin, M., Toprak, M.S., Kim, D.K., Muhammed, M.: Nanocomposites of polymer and inorganic nanoparticles for optical and magnetic applications. Nano Rev. 1(1), 5214 (2010). https://doi.org/10.3402/nano.v1i0.521410.3402/nano.v1i0.5214 ↗
30. Lu, H., Zhang, X., Knauss, W.G.: Uniaxial, shear, and poisson relaxation and their conversion to bulk relaxation: studies on poly(methyl methacrylate). Polym. Compos. 18(2), 211–222 (1997). https://doi.org/10.1002/pc.1027510.1002/pc.10275 ↗
31. Ma, Z., Ravi-Chandar, K.: Confined compression: a stable homogeneous deformation for constitutive characterization. Exp. Mech. 40(1), 38–45 (2000). https://doi.org/10.1007/BF0232754610.1007/BF02327546 ↗
32. Montazeri, A., Pourshamsian, K., Riazian, M.: Viscoelastic properties and determination of free volume fraction of multi-walled carbon nanotube/epoxy composite using dynamic mechanical thermal analysis. Mater. Des. 36, 408–414 (2012). https://doi.org/10.1016/j.matdes.2011.11.03810.1016/j.matdes.2011.11.038 ↗
33. Naeemi, A., Meindl, J.D.: Performance Modeling for Carbon Nanotube Interconnects. In: Javey, A., Kong, J. (eds.) Carbon Nanotube Electronics, pp. 163–190. Springer, Boston, MA. (2009). Chap. 7. https://doi.org/10.1007/978-0-387-69285-2_710.1007/978-0-387-69285-2_7 ↗
34. Nutting, P.G.: A new general law of deformation. J. Franklin Inst. 191(5), 679–685 (1921). https://doi.org/10.1016/S0016-0032(21)90171-610.1016/S0016-0032(21)90171-6 ↗
35. Oliva-Avilés, A.I., Avilés, F., Sosa, V.: Electrical and piezoresistive properties of multi-walled carbon nanotube/polymer composite films aligned by an electric field. Carbon 49(9), 2989–2997 (2011). https://doi.org/10.1016/j.carbon.2011.03.01710.1016/j.carbon.2011.03.017 ↗
36. Ozdemir, V.B., Kwok, K.: Electro-thermo-mechanical behavior of carbon nanopaper shape memory polymer composites. J. Intell. Mater. Syst. Struct. 33(3), 489–500 (2022). https://doi.org/10.1177/1045389X21101884810.1177/1045389X211018848 ↗
37. Park, S.J., Liechti, K.M., Roy, S.: Simplified bulk experiments and hygrothermal nonlinear viscoelasticity. Mech. Time-Dependent Mater. 8(4), 303–344 (2004). https://doi.org/10.1007/s11043-004-0942-310.1007/s11043-004-0942-3 ↗
38. Paulson, S., Helser, A., Buongiorno Nardelli, M., Taylor, R.M., Falvo, M., Superfine, R., Washburn, S.: Tunable resistance of a carbon nanotube-graphite interface. Science 290(5497), 1742–1744 (2000). https://doi.org/10.1126/science.290.5497.174210.1126/science.290.5497.1742 ↗
39. Qu, Y., Dai, K., Zhao, J., Zheng, G., Liu, C., Chen, J., Shen, C.: The strain-sensing behaviors of carbon black/polypropylene and carbon nanotubes/polypropylene conductive composites prepared by the vacuum-assisted hot compression. Colloid Polym. Sci. 292(4), 945–951 (2014). https://doi.org/10.1007/s00396-013-3143-210.1007/s00396-013-3143-2 ↗
40. Qvale, D., Ravi-Chandar, K.: Viscoelastic characterization of polymers under multiaxial compression. Mech. Time-Dependent Mater. 8(3), 193–214 (2004). https://doi.org/10.1023/B:MTDM.0000046749.79406.f510.1023/B:MTDM.0000046749.79406.f5 ↗
41. Sane, S.B., Knauss, W.G.: The time-dependent bulk response of poly (Methyl Methacrylate). Mech. Time-Dependent Mater. 5(4), 293–324 (2001). https://doi.org/10.1023/A:101251742189910.1023/A:1012517421899 ↗
42. Shim, W., Jeon, S.Y., Yu, W.R.: Modeling of the piezoresistive behavior of carbon nanotube/polymer composites during stress relaxation. Polym. Composit. (October 2021), 2672–2682 (2022). https://doi.org/10.1002/pc.2656510.1002/pc.26565 ↗
43. Sircar, A.K., Voet, A., Cook, F.R.: Relaxation of stress and electrical resistivity in carbon-filled vulcanizates at moderate and high extensions. Rubber Chem. Technol. 44(1), 185–198 (1971). https://doi.org/10.5254/1.354735310.5254/1.3547353 ↗
44. Smith, M.: ABAQUS/Standard User’s Manual, (2019)
45. Souri, H., Yu, J., Jeon, H., Kim, J.W., Yang, C.M., You, N.H., Yang, B.J.: A theoretical study on the piezoresistive response of carbon nanotubes embedded in polymer nanocomposites in an elastic region. Carbon 120, 427–437 (2017). https://doi.org/10.1016/j.carbon.2017.05.05910.1016/j.carbon.2017.05.059 ↗
46. Tscharnuter, D., Jerabek, M., Major, Z., Lang, R.W.: Time-dependent poisson’s ratio of polypropylene compounds for various strain histories. Mech. Time-Dependent Mater. 15(1), 15–28 (2011). https://doi.org/10.1007/s11043-010-9121-x10.1007/s11043-010-9121-x ↗
47. Tschoegl, N.W., Knauss, W.G., Emri, I.: Poisson’s ratio in linear viscoelasticity - a critical review. Mech. Time-Dependent Mater. 6(1), 3–51 (2002). https://doi.org/10.1023/A:101441150317010.1023/A:1014411503170 ↗
48. Wang, P., Ding, T.: Creep of electrical resistance under uniaxial pressures for carbon black-silicone rubber composite. J. Mater. Sci. 45(13), 3595–3601 (2010). https://doi.org/10.1007/s10853-010-4405-810.1007/s10853-010-4405-8 ↗
49. Wang, L., Han, Y.: Compressive relaxation of the stress and resistance for carbon nanotube filled silicone rubber composite. Compos. A Appl. Sci. Manuf. 47(1), 63–71 (2013). https://doi.org/10.1016/j.compositesa.2012.11.01810.1016/j.compositesa.2012.11.018 ↗
50. Wang, L., Ma, F., Shi, Q., Liu, H., Wang, X.: Study on compressive resistance creep and recovery of flexible pressure sensitive material based on carbon black filled silicone rubber composite. Sens. Actuators, A 165(2), 207–215 (2011). https://doi.org/10.1016/j.sna.2010.10.02310.1016/j.sna.2010.10.023 ↗
51. Zhang, X.-W., Pan, Y., Zheng, Q., Yi, X.-S.: Time dependence of piezoresistance for the conductor-filled polymer composites. J. Polym. Sci., Part B: Polym. Phys. 38(21), 2739–2749 (2000). https://doi.org/10.1002/1099-0488(20001101)38:21<2739::AID-POLB40>3.0.CO;2-O10.1002/1099-0488(20001101)38:21<2739::AID-POLB40>3.0.CO;2-O ↗
52. Zhang, Q., Huang, J.Q., Qian, W.Z., Zhang, Y.Y., Wei, F.: The road for nanomaterials industry: a review of carbon nanotube production, post-treatment, and bulk applications for composites and energy storage. Small 9(8), 1237–1265 (2013). https://doi.org/10.1002/smll.20120325210.1002/smll.201203252 ↗
53. Zhao, J., Dai, K., Liu, C., Zheng, G., Wang, B., Liu, C., Chen, J., Shen, C.: A comparison between strain sensing behaviors of carbon black/polypropylene and carbon nanotubes/polypropylene electrically conductive composites. Compos. A Appl. Sci. Manuf. 48(1), 129–136 (2013). https://doi.org/10.1016/j.compositesa.2013.01.00410.1016/j.compositesa.2013.01.004 ↗
54. Zheng, Q., Song, Y., Yi, X.-S.: Piezoresistive properties of HDPE/graphite composites. J. Mater. Sci. Lett. 18(1), 35–37 (1999). https://doi.org/10.1023/A:100661712459210.1023/A:1006617124592 ↗
55. Zheng, Q., Zhou, J.F., Song, Y.H.: Time-dependent uniaxial piezoresistive behavior of high-density polyethylene/short carbon fiber conductive composites. J. Mater. Res. 19(9), 2625–2634 (2004). https://doi.org/10.1557/JMR.2004.035510.1557/JMR.2004.0355 ↗