A Parametric Investigation on the Neo-Hookean Material Constant

Abstract:

This paper assesses the Neo-Hookean material parameters pertaining to deformation behaviour of hyperelastic material by means of numerical analysis. A mathematical model relating stress and stretch is derived based on Neo-Hookeans strain energy function to evaluate the contribution of the material constant, C₁, in the constitutive equation by varying its value. A systematic parametric study was constructed and for that purpose, a Matlab programme was developed for execution. The results show that the parameter (C₁) is significant in describing material properties behaviour. The results and findings of the current study further enhances the understanding of Neo-Hookean model and hyperelastic materials behaviour. The ultimate future aim of this study is to come up with an alternative constitutive equation that may describe skin behaviour accurately. This study is novel as no similar parametric study on Neo-Hookean model has been reported before.

• Periodical: Advanced Materials Research (Volumes 915-916)
• Pages: 853-857
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.915-916.853
• Online since: April 2014
• Authors: Siti Hajar Mohd Yusop*, Mohd Nor Azmi Ab Patar, Anwar P.P. Abdul Majeed, Jamaluddin Mahmud
• Keywords: Hyperelasticity, Incompressible Materials, Neo-Hookean Model, Stretch

References

[1] J. Mahmud, C. A. Holt, S. L. Evans, and N. F. A. Manan: Adv. Sci. Lett. (2013), p.3155.

[2] N.F.A. Manan, M.H.M. Ramli, M.N.A.A. Patar, C. Holt, S. Evans, M. Chizari and J. Mahmud: Humanities, Science and Engineering Research (SHUSER), 2012 IEEE Symposium on, (2012), p.805.

DOI: 10.1109/shuser.2012.6268996

[3] J. Mahmud, C. Holt, S. Evans, N.F.A. Manan and M. Chizari: Procedia Engineering Vol. 41(2012), p.1580.

[4] L. Mahmud, M. Ismail, N. Manan and J. Mahmud: Business Engineering and Industrial Applications Colloquium (BEIAC), 2013 IEEE, 2013, p.801.

DOI: 10.1109/beiac.2013.6560246

[5] N.F.A. Manan, J. Mahmud and M.H. Ismail.  Journal of Medical and Bioengineering Vol. 2 (2013), p.45.

[6] C. Wiltsey, P. Kubinski, T. Christiani, K. Toomer, J. Sheehan, A. Branda, et al: J Mater Sci: Mater Med (2013), p.837.

DOI: 10.1007/s10856-013-4857-x

[7] H. Yamada and N. Sakata : J Biorheol Vol. 1 (2012), p.1.

[8] N. D. Stanescu and D. Popa: Applied Mechanics and Materials Vol. 430 (2013), p.53.

[9] F. S. Sin, D. Schroeder, and J. Barbic: Computer Graphics Forum Vol. 32 (2012), p.36.

[10] K. V. Raja and R. Malayalamurthi: Int J Mech Mater Des (2011), p.299.

[11] T. Sohail and B. Nadler: Acta Mechanica (2011), p.225.

[12] F. Tauheed and S. Sarangi: Int J Mech Mater Des (2012, ) p.393.

[13] S. Pearce: Mathematics and Mechanics of Solids Vol. 18 (2012), p.860.

[14] A. G. Mitsak, A. M. Dunn, and S. J. Hollister: Journal of the Mechanical Behaviour of Biomedical Materials II (2012), p.3.

[15] M. Liu, Q.H. Zhang, L.Y. Gao, and X.M. Qin: Applied Mechanics and Materials Vol. 66-68 (2011), p.83.

[16] B. Kim, S. B. Lee, J. Lee, S. Cho, H. Park, S. Yeom, et al: International Journal of Precision Engineering and Manufacturing Vol. 13 (2012), p.759.

[17] P. H. Kao, S. R. Lammers, L. Tian, K. Hunter, K. R. Stenmark, R. Shandas, et al.: Journal of Biomechanical Engineering Vol. 13 3(5) (2011), p.051002.

[18] C. R. Henak, A. L. Kapron, A. E. Anderson, B. J. Ellis, S. A. Maas, and J. A. Weiss: Biomech Model Mechanobiol (2013), p.1.

[19] B. Fallqvist and M. Kroon: Biomech Model Mechanobiol (2013), p.373.

[20] Z. Chen and S. Diebels: Arch Appl Mech (2012), p.1041.

[21] K. Chen and J. D. Weiland: Journal of Biomechanical Engineering Vol. 133 (2011), p.064505.

[22] F. Carpi and M. Gei: Smart Materials and Structures Vol. 22 (10) (2013), p.4011.