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Modeling of Stress Relaxation Modulus for a Nanocomposite Biosensor by Relaxation Time, Yield Stress, and Zero Complex Viscosity

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Abstract

This paper presents a simple equation for the stress relaxation modulus, G(t), of nanocomposite biosensor and blend films by relaxation time, yield stress, zero complex viscosity, and power-law index. The correctness of the advanced model is assessed by the measured results for the examples containing poly (ethylene oxide) (PEO), poly (lactic acid) (PLA) and carbon nanotubes. Furthermore, the roles of whole factors in G(t) are justified to approve the predictability of the advanced model. The model’s predictions correctly fit the experimental facts and whole factors reveal acceptable trends. All parameters including yield stress, relaxation time, zero complex viscosity, power-law index, and the width of the transition section directly affect G(t). The sensible results validate the advanced model, providing a simple procedure for approximating and optimizing G(t) in blend and nanocomposite systems.

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References

  1. S. Liu, G. Wu, X. Chen, X. Zhang, J. Yu, M. Liu, Y. Zhang, and P. Wang, Polymers 11, 1015. (2019).

    Article  Google Scholar 

  2. J. Shojaeiarani, M. Hosseini-Farid, and D. Bajwa, Mech. Mater. 135, 77. (2019).

    Article  Google Scholar 

  3. O. Yousefzade, S. Valenti, J. Puiggalí, H. Garmabi, and R. Macovez, J. Polym. Sci. Part B Polym. Phys. 57, 222. (2019).

    Article  Google Scholar 

  4. R. Cui, K. Jiang, M. Yuan, J. Cao, L. Li, Z. Tang, and Y. Qin, J. Market. Res. 9, 10130. (2020).

    Google Scholar 

  5. M. Arastouei, M. Khodaei, S.M. Atyabi, and M.J. Nodoushan, J. Market. Res. 9, 14540. (2020).

    Google Scholar 

  6. S. Kim, Y. Zare, H. Garmabi, and K.Y. Rhee, Sens. Actuators A 274, 28. (2018).

    Article  Google Scholar 

  7. Y. Zare, and K.Y. Rhee, Compos. B Eng. 158, 162. (2019).

    Article  Google Scholar 

  8. Y. Zare, and K.Y. Rhee, Polym. Compos. 40, 4135. (2019).

    Article  Google Scholar 

  9. C. Nakafuku, and M. Sakoda, Polym. J. 25, 909. (1993).

    Article  Google Scholar 

  10. F. Carrasco, J. Gámez-Pérez, O. Santana, and M.L. Maspoch, Chem. Eng. J. 178, 451. (2011).

    Article  Google Scholar 

  11. M.A. Morsi, and M.H. Abd Elhamid, J. Mater. Res. Technol. 8, 2098. (2019).

    Article  Google Scholar 

  12. M. Eryildiz, and M. Altan, Polym. Compos. 41, 757. (2020).

    Article  Google Scholar 

  13. A.K. Mohapatra, S. Mohanty, and S. Nayak, Polym. Compos. 33, 2095. (2012).

    Article  Google Scholar 

  14. S. Lebedev, O. Gefle, E. Amitov, D.Y. Berchuk, and D. Zhuravlev, Polym. Test. 58, 241. (2017).

    Article  Google Scholar 

  15. Y. Zare, and K.Y. Rhee, JOM 72, 4323. (2020).

    Article  Google Scholar 

  16. Y. Zare, and K.Y. Rhee, JOM 71, 3980. (2019).

    Article  Google Scholar 

  17. V. Kumar, G. Lee, J. Choi, and D.-J. Lee, Polymer 190, 122221. (2020).

    Article  Google Scholar 

  18. C. Mahmoudi, E. Demirel, and Y. Chen, J. Appl. Polym. Sci. 137, 49397. (2020).

    Article  Google Scholar 

  19. M. Toozandehjani, K.A. Matori, F. Ostovan, K.R. Jamaludin, A. Amrin, and E. Shafiei, JOM 72, 2283. (2020).

    Article  Google Scholar 

  20. M. Soltanloo, M. Kazazi, S.E.H. Yeganeh, M.D. Chermahini, and B. Mazinani, JOM 72, 2235. (2020).

    Article  Google Scholar 

  21. A. Adegbenjo, P. Olubambi, J. Westraadt, M. Lesufi, and M. Mphahlele, JOM 71, 2262. (2019).

    Article  Google Scholar 

  22. A.M. Okoro, S.S. Lephuthing, S.R. Oke, O.E. Falodun, M.A. Awotunde, and P.A. Olubambi, JOM 71, 567. (2019).

    Article  Google Scholar 

  23. R. Razavi, Y. Zare, and K.Y. Rhee, Coll. Surf. A 538, 148. (2018).

    Article  Google Scholar 

  24. Y. Zare, and K.Y. Rhee, J. Coll. Interface Sci. 506, 283. (2017).

    Article  Google Scholar 

  25. Y. Zare, K.Y. Rhee, and S.-J. Park, Res. Phys. 14, 102406. (2019).

    Google Scholar 

  26. Y. Zare, and K.Y. Rhee, Eur. Polym. J. 87, 389. (2017).

    Article  Google Scholar 

  27. F. Hemmati, H. Garmabi, and H. Modarress, Polymer 55, 6623. (2014).

    Article  Google Scholar 

  28. F. Hemmati, H. Garmabi, and H. Modarress, Express Polym Lett 7, 996. (2013).

    Article  Google Scholar 

  29. M. Mohamadi, H. Garmabi, and M. Papila, Polym. Bull. 74, 2117. (2017).

    Article  Google Scholar 

  30. B. Wang, T. Wan, and W. Zeng, J. Appl. Polym. Sci. 121, 1032. (2011).

    Article  Google Scholar 

  31. F. Hemmati, and H. Garmabi, Polym. Test. 65, 78. (2018).

    Article  Google Scholar 

  32. Y. Phua, W. Chow, and Z. Mohd Ishak, Express Polym. Lett. 5, 93. (2011).

    Article  Google Scholar 

  33. A. Durmus, A. Kasgoz, and C.W. Macosko, Polymer 48, 4492. (2007).

    Article  Google Scholar 

  34. M. Bousmina, and R. Muller, J. Rheol. 37, 663. (1993).

    Article  Google Scholar 

  35. H.A. Barnes, J.F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, Amsterdam, 1989).

    MATH  Google Scholar 

  36. K. Yasuda, Investigation of the Analogies Between Viscometric and Linear Viscoelastic Properties of Polystyrene Fluids (Massachusetts Institute of Technology, Cambridge, 1979).

    Google Scholar 

  37. H. A. Barnes, A Handbook of Elementary Rheology (2000)

  38. J. Domínguez, M. Oliet, M. Alonso, E. Rojo, and F. Rodríguez, Ind. Crops Prod. 42, 308. (2013).

    Article  Google Scholar 

  39. J. Khademzadeh Yeganeh, F. Goharpey, and R. Foudazi, Macromolecules 43, 8670. (2010).

    Article  Google Scholar 

  40. M. Tayefi, M. Razavi-Nouri, and A. Sabet, Appl. Clay Sci. 135, 206. (2017).

    Article  Google Scholar 

  41. F. Schwarzl, Rheol. Acta 14, 581. (1975).

    Article  Google Scholar 

  42. K.-W. Song, Y.-S. Kim, and G.-S. Chang, Fibers Polym. 7, 129. (2006).

    Article  Google Scholar 

  43. W.-S. Bae, O.J. Kwon, B.C. Kim, and D.W. Chae, Korea-Australia Rheol. J. 24, 221. (2012).

    Article  Google Scholar 

  44. E.C. Bingham, Fluidity and Plasticity (McGraw-Hill, New York, 1922).

    Google Scholar 

  45. D. Vlasveld, M. De Jong, H. Bersee, A. Gotsis, and S. Picken, Polymer 46, 10279. (2005).

    Article  Google Scholar 

  46. Y. Zare, Polymer 72, 93. (2015).

    Article  Google Scholar 

  47. Y. Zare, and H. Garmabi, Appl. Surf. Sci. 321, 219. (2014).

    Article  Google Scholar 

  48. Y. Zare, A. Daraei, M. Vatani, and P. Aghasafari, Comput. Mater. Sci. 81, 612. (2014).

    Article  Google Scholar 

  49. Y. Zare, K.Y. Rhee, and S.J. Park, Res. Phys. 15, 102562. (2019).

    Google Scholar 

  50. Y. Zare, K.Y. Rhee, and S.J. Park, J. Biomed. Mater. Res. Part A 107, 2706. (2019).

    Article  Google Scholar 

  51. A. Rostami, H. Nazockdast, and M. Karimi, RSC Adv. 6, 49747. (2016).

    Article  Google Scholar 

  52. A. Rostami, M. Masoomi, M.J. Fayazi, and M. Vahdati, RSC Adv. 5, 32880. (2015).

    Article  Google Scholar 

  53. A. Poslinski, M. Ryan, R. Gupta, S. Seshadri, and F. Frechette, J. Rheol. 32, 703. (1988).

    Article  Google Scholar 

  54. S. Theron, E. Zussman, and A. Yarin, Polymer 45, 2017. (2004).

    Article  Google Scholar 

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Authors and Affiliations

  1. Biomaterials and Tissue Engineering Research Group, Department of Interdisciplinary Technologies, Breast Cancer Research Center, Motamed Cancer Institute, ACECR, Tehran, Iran

    Yasser Zare

  2. Department of Mechanical Engineering (BK21 four), College of Engineering, Kyung Hee University, 1 Seocheon, Giheung, Yongin, Gyeonggi, 449-701, Republic of Korea

    Kyong Yop Rhee

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  1. Yasser Zare
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Zare, Y., Rhee, K. Modeling of Stress Relaxation Modulus for a Nanocomposite Biosensor by Relaxation Time, Yield Stress, and Zero Complex Viscosity. JOM 73, 3693–3701 (2021). https://doi.org/10.1007/s11837-021-04853-1

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