A Novel Method to Choose the Experimental Parameters in Large Amplitude Oscillatory Shear Rheology

Abstract:

Large Amplitude Oscillatory Shear (LAOS) rheology is a technique to analyze materials that are viscoelastic in nature. The raw values of stress and strain that were taken out from rheometer during the large amplitude oscillatory shear test are used in the constitutive models. The model parameters from the constitutive model are then analyzed on the materials being tested. Various test protocols and geometries will be used to analyze the materials of interest during LAOS rheological examination. The selection of test protocols and usage of geometry are less studied in testing various kinds of materials using LAOS. Cone and plate and parallel plate geometries are generally used for LAOS. The test protocols would be varying amplitude and varying frequencies. In the present work, quantification of relative performance of test protocols and geometry that have been used during the analysis of cross-linked poly vinyl alcohol hyaluronic acid (PVAHA) gels as material systems are studied using data envelopment analysis (DEA). The methodological approach using output oriented constant return to scale (CRS) and output oriented variable return to scale (VRS) are tested with the decision making units (DMU) as the geometry and test protocols used. These results are then combined with the Shannon's entropy to rank the efficient DMUs. Using Shannon's entropy combined with CRS and VRS, it is suggested that the use of parallel plate geometry with the test protocol of 0.5 rad/s and 50 frequency is best suitable for the cross-linked hyaluronic acid and poly vinyl alcohol gels examined.

• Periodical: Materials Science Forum (Volume 1048)
• Pages: 54-64
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.1048.54
• Online since: January 2022
• Authors: Jagadeeshwar Kodavaty*, R.K. Pavan Kumar Pannala, Sakshi Wasson, Mihir Mittal, Atif Irshad
• Keywords: Drug Gels, Enhanced Oil Recovery, Kinetics of Drug Release, Polymer Gels, Rheology

References

[1] Padmarekha, A. and Krishnan, J. J. Mater. Civ. Eng. Vol. 25 (2013), pp.1852-1863.

[2] Padmarekha, A. and Krishnan, J. J. Mater. Civ. Eng. Vol. 16 (2004), pp.155-166.

[3] Charnes, Abraham and Cooper, William W and Rhodes, Edwardo Eur. J. Oper. Res. Vol. 2 (1978), pp.429-444.

[4] Michael James. J R Stat Soc Ser A Stat Soc. Vol. 120 (1957), pp.253-281.

[5] Boussofiane, Aziz and Dyson, Robert G and Thanassoulis, Emmanuel.Eur. J. Oper. Res. Vol. 52 (1991), pp.1-15.

[6] Xie, Qiwei and Dai, Qianzhi and Li, Yongjun and Jiang, An. Entropy. Vol. 16 (2014), pp.1571-1585.

[7] Wagner, Janet M and Shimshak, Daniel G. Eur. J. Oper. Res. Vol. 180 (2007), pp.57-67[8] Ghosh, Santosh and Yadav, Vinod Kumar and Mukherjee, Vivekananda and Yadav, Pankaj. Renewable energy. Vol. 105 (2017), pp.344-353.

[9] Yadav, Vinod Kumar and Kumar, Niranjan and Ghosh, Santosh and Singh, Kanwardeep. Int. T Oper Res. Vol. 21 (2014), pp.955-977.

[10] Yadav, Vinod Kumar and Padhy, NP and Gupta, HO. Energy. Vol. 35 (2010), pp.4053-4063.

[11] Ramanathan, Ramu: An introduction to data envelopment analysis: a tool for performance measurement (Sage Publications, India 2003).

[12] Ray, Subhash C: Data envelopment analysis: theory and techniques for economics and operations research (Cambridge university press, 2004).

[13] Li, RH and Barbari, TA. J. Membr. Sci. Vol. 88 (1994), pp.115-125.

[14] Matsuyama, Hideto and Teramoto, Masaaki and Urano, Hirosh. J. Membr. Sci. Vol. 126 (1997), pp.151-160.

[15] Kodavaty, Jagadeeshwar and Deshpande, Abhijit P. J. Appl. Polym. Sci. Vol. 131 (2014), pp.1-12.

[16] Kodavaty, Jagadeeshwar and Deshpande, Abhijit P. Polym. Bull. Vol. 74 (2017), pp.3605-3617.

[17] "Kyu Hyun and Manfred Wilhelm and Christopher O. Klein and Kwang Soo Cho and Jung Gun Nam and Kyung Hyun Ahn and Seung Jong Lee and Randy H. Ewoldt and Gareth H. McKinley. Prog. Polym. Sci. Vol. 36 (2011), pp.1697-1753.

DOI: 10.1016/j.progpolymsci.2011.02.002

[18] Bayrak, Hulya and Jarjies, Oday and Durukan, Kubra. Hacettepe J. Math. Stat. Vol. 44 (2015), pp.679-687.

[19] Morita, Hiroshi and Avkiran, Necmi K. J. Oper. Res. Soc. Japan. Vol. 52 (2009), pp.163-173.

[20] Couder, Johan and Verbruggen, Avie. Energy Environ. Vol. 14 (2003), pp.705-724.

[21] Peyrache, Antonio and Rose, Christiern and Sicilia, Gabriela. Eur. J. Oper. Res. Vol. 282 (2020), pp.644-659.

[22] de Blas, Clara Simon and Martin, Jose Simon and Gonzalez, Daniel Gomez. Eur. J. Oper. Res. Vol. 266 (2018), pp.990-999.

[23] Kaffash, Sepideh and Azizi, Roza and Huang, Ying and Zhu, Joe. Eur. J. Oper. Res. Vol. 284 (2020), pp.801-813.

[24] Fethi, Meryem Duygun and Pasiouras, Fotios. Eur. J. Oper. Res. Vol. 204 (2010), pp.189-198.

[25] Emrouznejad, Ali and Yang, Guo-liang. Socio-Econ. Plan. Sci. Vol. 61 (2018), pp.4-8.

[26] Soleimani-Damaneh, Majid and Zarepisheh, M. Expert Syst. Appl. Vol. 36 (2009), pp.5146-5150.

[27] Xie, Qiwei and Dai, Qianzhi and Li, Yongjun and Jiang, An. Entropy. Vol. 16 (2014), pp.1571-1585.