Determination of a visco-hyperelastic material law based on dynamic tension test data_Journal of Biomedical Engineering

Authors：

REN Lihai ,  JIANG Chengyue , CHEN Yong , HU Yuanzhi

Key Laboratory of Advanced Manufacturing Technology for Automobile Parts, Ministry of Education, Chongqing University of Technology, Chongqing 400054, P.R.China;

Corresponding author：

JIANG Chengyue, Email: jiangchengyue@cqut.edu.cn

Keywords：

finite element; multi-object optimization; parameter inverse; hyperelasticity; viscoelasticity; constitutive law

DOI：

10.7507/1001-5515.201709022

Video：

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Abstract Full text Figures/Tables Video References Cited by

The objective of this study was to determine the visco-hyperelastic constitutive law of brain tissue under dynamic impacts. A method combined by finite element simulations and optimization algorithm was employed for the determination of material variables. Firstly, finite element simulations of brain tissue dynamic uniaxial tension, with a maximum stretch rate of 1.3 and strain rates of 30 s^–1 and 90 s^–1, were developed referring to experimental data. Then, fitting errors between the engineering stress-strain curves predicted by simulations and experimental average curves were assigned as objective functions, and the multi-objective genetic algorithm was employed for the optimation solution. The results demonstrate that the brain tissue finite element models assigned with the novel obtained visco-hyperelastic material law could predict the brain tissue’s dynamic mechanical characteristic well at different loading rates. Meanwhile, the novel material law could also be applied in the human head finite element models for the improvement of the biofidelity under dynamic impact loadings.

Citation： REN Lihai, JIANG Chengyue, CHEN Yong, HU Yuanzhi. Determination of a visco-hyperelastic material law based on dynamic tension test data. Journal of Biomedical Engineering, 2018, 35(5): 767-773, 778. doi: 10.7507/1001-5515.201709022 Copy

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9.	Brands D W, Bovendeerd P H, Peters G W, et al. The large shear strain dynamic behaviour of in-vitro porcine brain tissue and a silicone gel model material. Stapp Car Crash J, 2000, 44: 249-260.
10.	Bilston L E, Liu Z Z, Phan-Thien N. Large strain behaviour of brain tissue in shear: Some experimental data and differential constitutive model. Biorheology, 2001, 38(4): 335-345.
11.	Chatelin S, Deck C, Willinger R. An anisotropic viscous hyperelastic constitutive law for brain material finite-element modelin. J Biorheol, 2013, 27(1): 26-37.
12.	Giordano C, Kleiven S. Connecting fractional anisotropy from medical images with mechanical anisotropy of a hyperviscoelastic fibre-reinforced constitutive model for brain tissue. J Royal Soc Interf, 2014, 11(91): 20130914.
13.	Wright R M, Post A, Hoshizaki B, et al. A multiscale computational approach to estimating axonal damage under inertial loading of the head. J Neurotrauma, 2013, 30(2): 102-118.
14.	Weiss J A, Maker B N, Govindjee S. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comput Methods Appl Mech Engrg, 1996, 135(1/2): 107-128.
15.	Puso M A, Weiss J A. Finite element implementation of anisotropic quasi-linear viscoelasticity using a discrete spectrum approximation. J Biomech Eng, 1998, 120(1): 62-70.
16.	Fung Y C. Biomechanics: mechanical properties of living tissues. 2nd ed. Springer-Verlag New York, 1993.
17.	Rashid B, Destrade M, Gilchrist M D. Mechanical characterization of brain tissue in tension at dynamic strain rates. J Mech Behav Biomed Mater, 2014, 33(SI): 43-54.
18.	Poles S. MOGA-II an improved multi-objective genetic algorithm. Trieste: Estecotechnical Techincal Report 6, 2003.
19.	Chatelin S, Constantinesco A, Willinger R. Fifty years of brain tissue mechanical testing: From in vitro to in vivo investigations. Biorheology, 2010, 47(5/6): 255-276.
20.	Rashid B, Destrade M, Gilchrist M D. Mechanical characterization of brain tissue in compression at dynamic strain rates. J Mech Behav Biomed Mater, 2012, 10(1): 23-38.

1. World Health Organization. Global status report on road safety 2015. Geneva: World Health Organization, 2015.
2. Coronado V G, Xu L, Basavaraju S V, et al. Surveillance for traumatic brain injury-related deaths: United States, 1997-2007. Atlanta: US Department of Health and Human Services, Centers for Disease Control and Prevention, 2011.
3. Yang Jikuang, Xu Wei, Otte D. Brain injury biomechanics in real world vehicle accident using mathematical models. Chin J Mech Eng, 2008, 21(4): 81-86.
4. 曹立波, 周舟, 蒋彬辉, 等. 10 岁儿童头部有限元模型的建立及验证. 中国生物医学工程学报, 2014, 33(1): 63-70.
5. Mao Haojie, Zhang Liying, Jiang Binhui, et al. Development of a finite element human head model partially validated with thirty five experimental cases. J Biomech Eng, 2013, 135(11): 1-15.
6. 李海岩, 赵玮, 阮世捷, 等. 第 95 百分位中国人头部颅脑相对位移的有限元评估. 医用生物力学, 2012, 27(2): 198-206.
7. Sahoo D, Deck C, Willinger R. Brain injury tolerance limit based on computation of axonal strain. Accident Analysis & Prevention, 2016, 92: 53-70.
8. Kleiven S. Predictors for traumatic brain injuries evaluated through accident reconstructions. Stapp Car Crash J, 2007, 51: 81-114.
9. Brands D W, Bovendeerd P H, Peters G W, et al. The large shear strain dynamic behaviour of in-vitro porcine brain tissue and a silicone gel model material. Stapp Car Crash J, 2000, 44: 249-260.
10. Bilston L E, Liu Z Z, Phan-Thien N. Large strain behaviour of brain tissue in shear: Some experimental data and differential constitutive model. Biorheology, 2001, 38(4): 335-345.
11. Chatelin S, Deck C, Willinger R. An anisotropic viscous hyperelastic constitutive law for brain material finite-element modelin. J Biorheol, 2013, 27(1): 26-37.
12. Giordano C, Kleiven S. Connecting fractional anisotropy from medical images with mechanical anisotropy of a hyperviscoelastic fibre-reinforced constitutive model for brain tissue. J Royal Soc Interf, 2014, 11(91): 20130914.
13. Wright R M, Post A, Hoshizaki B, et al. A multiscale computational approach to estimating axonal damage under inertial loading of the head. J Neurotrauma, 2013, 30(2): 102-118.
14. Weiss J A, Maker B N, Govindjee S. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comput Methods Appl Mech Engrg, 1996, 135(1/2): 107-128.
15. Puso M A, Weiss J A. Finite element implementation of anisotropic quasi-linear viscoelasticity using a discrete spectrum approximation. J Biomech Eng, 1998, 120(1): 62-70.
16. Fung Y C. Biomechanics: mechanical properties of living tissues. 2nd ed. Springer-Verlag New York, 1993.
17. Rashid B, Destrade M, Gilchrist M D. Mechanical characterization of brain tissue in tension at dynamic strain rates. J Mech Behav Biomed Mater, 2014, 33(SI): 43-54.
18. Poles S. MOGA-II an improved multi-objective genetic algorithm. Trieste: Estecotechnical Techincal Report 6, 2003.
19. Chatelin S, Constantinesco A, Willinger R. Fifty years of brain tissue mechanical testing: From in vitro to in vivo investigations. Biorheology, 2010, 47(5/6): 255-276.
20. Rashid B, Destrade M, Gilchrist M D. Mechanical characterization of brain tissue in compression at dynamic strain rates. J Mech Behav Biomed Mater, 2012, 10(1): 23-38.

Journal of Biomedical Engineering

Determination of a visco-hyperelastic material law based on dynamic tension test data

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