Direct conversion of creep data to dynamic moduli using point-wise method

Sihyun Kim; Junghaeng Lee; Kwang Soo Cho

Korea-Australia Rheology Journal, Vol.33, No.2, 105-112, May, 2021

DOI10.1007/s13367-021-0009-x Export Citation

Direct conversion of creep data to dynamic moduli using point-wise method

Sihyun Kim, Junghaeng Lee, and Kwang Soo Cho^†

Department of Polymer Science and Engineering, Kyungpook National University, Daegu, Korea

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We developed a new numerical method which converts creep data to dynamic moduli without relying on viscoelastic spectra of relaxation or retardation times. This algorithm is an improvement of the previous ones (Kwon et al., 2016) in the reduction of artificial waviness in the terminal regime as well as the noise due to measurement errors. The method is the application of the point-wise polynomial regression which reduces the polynomial order dramatically compared with previous method in order to suppress the waviness.

Keywords:creep test;dynamic modulus;direct conversion;relaxation spectrum;linear viscoelasticity

[References]

Baravian C, Quemada D, Rheol. Acta, 37(3), 223 (1998)
Cho KS, Park GW, J. Rheol., 57(2), 647 (2013)
Cho KS, Viscoelasticity of Polymers: Numerical Methods, 2016.
Cho KS, Kwon MK, Lee JH, Kim SH, Korea-Aust. Rheol. J., 29(4), 249 (2017)
Eckstein A, Suhm J, Friedrich C, Maier RD, Sassmannshausen J, Bochmann M, Mulhaupt R, Macromolecules, 31(4), 1335 (1998)
Evans RML, Tassieri M, Auhl D, Waigh TA, Phys. Rev. E, 80, 012501 (2009)
Havriliak S, Negami S, Polymer, 8, 161 (1967)
He CX, Wood-Adams P, Dealy JM, J. Rheol., 48(4), 711 (2004)
Honerkamp J, Weese J, Rheol. Acta, 32, 65 (1993)
Moreno-Guerra JA, Romero-Sanchez IC, Martinez-Borquez A, Tassieri M, Stiakakis E, Laurati M, Small, 15, 190413 (2019)
Kim M, Bae JE, Kang N, Cho KS, J. Rheol., 59, 237 (2015)
Kwon MK, Lee SH, Lee SG, Cho KS, J. Rheol., 60(6), 1181 (2016)
Lee SH, Bae JE, Cho KS, Korea-Aust. Rheol. J., 29(2), 115 (2017)
Plazek DJ, Raghupathi N, Orbon SJ, J. Rheol., 23, 477 (1979)
Pourahmadi M, Am. Math. Monthly, 91, 303 (1984)
Schwarzl FR, Rheol. Acta, 8, 6 (1969)
Tassieri M, Evans RML, Warren RL, Bailey NJ, Cooper JM, New J. Phys., 14, 115032 (2012)
Tassieri M, Laurati M, Curtis DJ, Auhl DW, Coppola S, Scalfati A, Hawkins K, Williams PR, Cooper JM, J. Rheol., 60(4), 649 (2016)
Tassieri M, Ramirez J, Karayiannis NC, Sukumaran SK, Masubuchi Y, Macromolecules, 51(14), 5055 (2018)

[Related Articles]

[1] Baravian C, Quemada D, Rheol. Acta, 37(3), 223 (1998)

[2] Cho KS, Park GW, J. Rheol., 57(2), 647 (2013)

[3] Cho KS, Viscoelasticity of Polymers: Numerical Methods, 2016.

[4] Cho KS, Kwon MK, Lee JH, Kim SH, Korea-Aust. Rheol. J., 29(4), 249 (2017)

[5] Eckstein A, Suhm J, Friedrich C, Maier RD, Sassmannshausen J, Bochmann M, Mulhaupt R, Macromolecules, 31(4), 1335 (1998)

[6] Evans RML, Tassieri M, Auhl D, Waigh TA, Phys. Rev. E, 80, 012501 (2009)

[7] Havriliak S, Negami S, Polymer, 8, 161 (1967)

[8] He CX, Wood-Adams P, Dealy JM, J. Rheol., 48(4), 711 (2004)

[9] Honerkamp J, Weese J, Rheol. Acta, 32, 65 (1993)

[10] Moreno-Guerra JA, Romero-Sanchez IC, Martinez-Borquez A, Tassieri M, Stiakakis E, Laurati M, Small, 15, 190413 (2019)

[11] Kim M, Bae JE, Kang N, Cho KS, J. Rheol., 59, 237 (2015)

[12] Kwon MK, Lee SH, Lee SG, Cho KS, J. Rheol., 60(6), 1181 (2016)

[13] Lee SH, Bae JE, Cho KS, Korea-Aust. Rheol. J., 29(2), 115 (2017)

[14] Plazek DJ, Raghupathi N, Orbon SJ, J. Rheol., 23, 477 (1979)

[15] Pourahmadi M, Am. Math. Monthly, 91, 303 (1984)

[16] Schwarzl FR, Rheol. Acta, 8, 6 (1969)

[17] Tassieri M, Evans RML, Warren RL, Bailey NJ, Cooper JM, New J. Phys., 14, 115032 (2012)

[18] Tassieri M, Laurati M, Curtis DJ, Auhl DW, Coppola S, Scalfati A, Hawkins K, Williams PR, Cooper JM, J. Rheol., 60(4), 649 (2016)

[19] Tassieri M, Ramirez J, Karayiannis NC, Sukumaran SK, Masubuchi Y, Macromolecules, 51(14), 5055 (2018)