A family of hyperelastic models for human brain tissue

Mihai, Loredana Angela ORCID: https://orcid.org/0000-0003-0863-3729, Budday, Silvia, Holzapfel, Gerhard, Kuhl, Ellen and Goriely, Alain 2017. A family of hyperelastic models for human brain tissue. Journal of the Mechanics and Physics of Solids 106 , pp. 60-79. 10.1016/j.jmps.2017.05.015

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Abstract

Experiments on brain samples under multiaxial loading have shown that human brain tissue is both extremely soft when compared to other biological tissues and characterized by a peculiar elastic response under combined shear and compression/tension: there is a significant increase in shear stress with increasing axial compression compared to a moderate increase with increasing axial tension. Recent studies have revealed that many widely used constitutive models for soft biological tissues fail to capture this characteristic response. Here, guided by experiments of human brain tissue, we develop a family of modeling approaches that capture the elasticity of brain tissue under varying simple shear superposed on varying axial stretch by exploiting key observations about the behavior of the nonlinear shear modulus, which can be obtained directly from the experimental data.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	brain mechanics, hyperelasticity, large deformations, combined loading, constitutive modeling
Publisher:	Elsevier
ISSN:	0022-5096
Funders:	Engineering and Physical Sciences Research Council (EPSRC)
Date of First Compliant Deposit:	27 May 2017
Date of Acceptance:	27 May 2017
Last Modified:	08 May 2023 17:48
URI:	https://orca.cardiff.ac.uk/id/eprint/100931

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