论文标题

简单剪切的大脑物质的极端柔软度

Extreme softness of brain matter in simple shear

论文作者

Destrade, Michel, Gilchrist, Michael D., Murphy, Jerry G., Rashid, Badar, Saccomandi, Giuseppe

论文摘要

我们表明,使用Mooney-Rivlin菌株能量功能,可以将猪脑物质准确地建模为非常柔软的橡胶样材料,最大高达60 \%。此结果是在小矩形新鲜样品($ 2.5 $ cm $^3 $和$ 1.1 $ cm $^3 $)上进行的简单剪切实验。他们揭示了线性剪切应力 - 剪切应变关系($ r^2> 0.97 $),这是大型菌株Mooney-Rivlin材料的特征。我们发现,猪脑物质比硅胶凝胶抗剪切力的耐药性低约30倍。我们还通过实验验证了脑物质表现出非线性弹性的正po弹作用,并且从数值上看,应力和应变场在样品的整个厚度中仍然保持均匀,简单剪切。

We show that porcine brain matter can be modelled accurately as a very soft rubber-like material using the Mooney-Rivlin strain energy function, up to strains as high as 60\%. This result followed from simple shear experiments performed on small rectangular fresh samples ($2.5$ cm$^3$ and $1.1$ cm$^3$) at quasi-static strain rates. They revealed a linear shear stress--shear strain relationship ($R^2> 0.97 $), characteristic of Mooney-Rivlin materials at large strains. We found that porcine brain matter is about 30 times less resistant to shear forces than a silicone gel. We also verified experimentally that brain matter exhibits the positive Poynting effect of nonlinear elasticity, and numerically that the stress and strain fields remain mostly homogeneous throughout the thickness of the samples in simple shear.

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