Poynting effect of brain matter in torsion

被引:31
作者
Balbi, Valentina [1 ]
Trotta, Antonia [2 ]
Destrade, Michel [1 ,2 ]
Annaidh, Aisling Ni [2 ]
机构
[1] NUI Galway, Sch Math Stat & Appl Math, Univ Rd, Galway, Ireland
[2] Univ Coll Dublin, Sch Mech & Mat Engn, Dublin 4, Ireland
基金
欧盟地平线“2020”;
关键词
MECHANICAL CHARACTERIZATION; IN-VITRO; TISSUE; SHEAR; DEFORMATION; MODEL; HEAD;
D O I
10.1039/c9sm00131j
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We investigate experimentally and model theoretically the mechanical behaviour of brain matter in torsion. Using a strain-controlled rheometer, we perform torsion tests on fresh porcine brain samples. We quantify the torque and the normal force required to twist a cylindrical sample at constant twist rate. Data fitting gives a mean value for the shear modulus of mu = 900 +/- 312 Pa and for the second Mooney-Rivlin parameter of c(2) = 297 +/- 189 Pa, indicative of extreme softness. Our results show that brain always displays a positive Poynting effect; in other words, it expands in the direction perpendicular to the plane of twisting. We validate the experiments with finite element simulations and show that when a human head experiences a twisting motion in the horizontal plane, the brain can experience large forces in the axial direction.
引用
收藏
页码:5147 / 5153
页数:7
相关论文
共 28 条
[1]   Material characterization of the brainstem from oscillatory shear tests [J].
Arbogast, KB ;
Margulies, SS .
JOURNAL OF BIOMECHANICS, 1998, 31 (09) :801-807
[2]   Tissue-level thresholds for axonal damage in an experimental model of central nervous system white matter injury [J].
Bain, AC ;
Meaney, DF .
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 2000, 122 (06) :615-622
[3]  
Bilston LE, 2001, BIORHEOLOGY, V38, P335
[4]  
British Standards British Standards Institution, 2012, 90302012 BS
[5]   Mechanical characterization of human brain tissue [J].
Budday, S. ;
Sommer, G. ;
Birkl, C. ;
Langkammer, C. ;
Haybaeck, J. ;
Kohnert, J. ;
Bauer, M. ;
Paulsen, F. ;
Steinmann, P. ;
Kuhl, E. ;
Holzapfel, G. A. .
ACTA BIOMATERIALIA, 2017, 48 :319-340
[6]   Fifty years of brain tissue mechanical testing: From in vitro to in vivo investigations [J].
Chatelin, Simon ;
Constantinesco, Andre ;
Willinger, Remy .
BIORHEOLOGY, 2010, 47 (5-6) :255-276
[7]   Extreme softness of brain matter in simple shear [J].
Destrade, M. ;
Gilchrist, M. D. ;
Murphy, J. G. ;
Rashid, B. ;
Saccomandi, G. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2015, 75 :54-58
[8]   Shear properties of human brain tissue [J].
Donnelly, BR ;
Medige, J .
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1997, 119 (04) :423-432
[9]   Mechanics of the brain: perspectives, challenges, and opportunities [J].
Goriely, Alain ;
Geers, Marc G. D. ;
Holzapfel, Gerhard A. ;
Jayamohan, Jayaratnam ;
Jerusalem, Antoine ;
Sivaloganathan, Sivabal ;
Squier, Waney ;
van Dommelen, Johannes A. W. ;
Waters, Sarah ;
Kuhl, Ellen .
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, 2015, 14 (05) :931-965
[10]   Reverse Poynting Effects in the Torsion of Soft Biomaterials [J].
Horgan, Cornelius O. ;
Murphy, Jeremiah G. .
JOURNAL OF ELASTICITY, 2015, 118 (02) :127-140