School of Mathematics, Statistics and Applied Mathematics, NUI Galway, University Road, Galway, Ireland.
Soft Matter. 2019 Jun 26;15(25):5147-5153. doi: 10.1039/c9sm00131j.
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 μ = 900 ± 312 Pa and for the second Mooney-Rivlin parameter of c2 = 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.
我们通过实验和理论模型研究了大脑物质在扭转中的力学行为。我们使用应变控制流变仪对新鲜的猪脑样本进行了扭转测试。我们测量了在恒定扭转速率下扭转圆柱形样品所需的扭矩和法向力。数据拟合给出了剪切模量的平均值μ=900±312 Pa 和第二个 Mooney-Rivlin 参数 c2=297±189 Pa,表明其极度柔软。我们的结果表明,大脑总是表现出正的 Poynting 效应;换句话说,它在垂直于扭转平面的方向上扩展。我们用有限元模拟验证了实验,并表明当人头在水平面经历扭转运动时,大脑在轴向方向上可能会受到很大的力。