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arXiv 2009.06102cond-mat.soft
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简单剪切下的脑组织极度柔软

Extreme softness of brain matter in simple shear

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

摘要:

我们表明,猪脑物质可以准确地建模为一个非常柔软的橡胶状材料使用Mooney-Rivlin应变能函数,高达60%的应变。该结果来自于在准静态应变率下对小矩形新鲜样品($2.5$ cm $^3$和$1.1$ cm $^3$)进行的简单剪切实验。它们揭示了线性剪切应力-剪切应变关系($R^2> 0.97 $),这是Mooney-Rivlin材料在大应变下的特征。我们发现猪脑物质对剪切力的抵抗力比硅凝胶低约30倍。我们还通过实验验证了大脑物质表现出非线性弹性的正坡印亭效应,并且在数值上,应力和应变场在简单剪切中在整个样品的厚度上保持基本均匀。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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