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arXiv 1302.4535physics.bio-phphysics.med-phq-bio.TO
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动态应变率下脑组织压缩的力学特性

Mechanical Characterization of Brain Tissue in Compression at Dynamic Strain Rates

Badar Rashid, Michel Destrade, Michael Gilchrist

摘要:

创伤性脑损伤(TBI)发生在局部机械负荷超过脑组织的一定耐受水平时。以前已经做了大量的研究,在准静态负荷下的脑物质经历压缩,但是,有限的数据是可用于动态冲击条件下的模型TBI。在这项研究中,一个实验装置,进行无侧限压缩试验和应力松弛试验在应变率< 90/s。随着应变率的增加,脑组织表现出更僵硬的反应,表明超弹性模型是不够的。具体而言,在30、60和90/s的应变速率下,30%应变下的压缩标称应力分别为8.83 +/- 1.94、12.8 +/- 3.10和16.0 +/- 1.41 kPa(平均值+/- SD)。还在10%-50%应变下进行了松弛测试,平均上升时间为10 ms,可用于获得时间相关参数。使用单项Ogden模型进行数值模拟,初始剪切模量mu_0 = 6.06 +/- 1.44,9.44 +/- 2.427和12.64 +/- 1.227 kPa(平均值+/- SD),应变速率分别为30,60和90/s。在相同的试验条件下,采用实验-计算相结合的方法,进行了一组单独的粘结和润滑试验,以估计摩擦系数μ。在30和90/s应变速率下,mu值分别为0.1 +/- 0.03和0.15 +/- 0.07(平均值+/- SD),表明即使在完全润滑的试验条件下,在无侧限压缩试验中也不能实现纯滑动条件。在这项研究中获得的材料参数将有助于开发生物力学的人脑有限元模型,它可以随后被用来预测在冲击条件下的脑损伤。

英文摘要:

Traumatic brain injury (TBI) occurs when local mechanical load exceeds certain tolerance levels for brain tissue. Extensive research has been done previously for brain matter experiencing compression at quasistatic loading; however, limited data is available to model TBI under dynamic impact conditions. In this research, an experimental setup was developed to perform unconfined compression tests and stress relaxation tests at strain rates < 90/s. The brain tissue showed a stiffer response with increasing strain rates, showing that hyperelastic models are not adequate. Specifically, the compressive nominal stress at 30% strain was 8.83 +/- 1.94, 12.8 +/- 3.10 and 16.0 +/- 1.41 kPa (mean +/- SD) at strain rates of 30, 60 and 90/s, respectively. Relaxation tests were also conducted at 10%-50% strain with the average rise time of 10 ms, which can be used to derive time dependent parameters. Numerical simulations were performed using one-term Ogden model with initial shear modulus mu_0 = 6.06 +/- 1.44, 9.44 +/- 2.427 and 12.64 +/- 1.227 kPa (mean +/- SD) at strain rates of 30, 60 and 90/s, respectively. A separate set of bonded and lubricated tests were also performed under the same test conditions to estimate the friction coefficient mu, by adopting combined experimental - computational approach. The values of mu were 0.1 +/- 0.03 and 0.15 +/- 0.07 (mean +/- SD) at 30 and 90/s strain rates, respectively, indicating that pure slip conditions cannot be achieved in unconfined compression tests even under fully lubricated test conditions. The material parameters obtained in this study will help to develop biofidelic human brain finite element models, which can subsequently be used to predict brain injuries under impact conditions.

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