Extreme softness of brain matter in simple shear

TL;DR

This study demonstrates that porcine brain matter behaves as an extremely soft, rubber-like material under simple shear, with a linear stress-strain response up to high strains, and is significantly softer than silicone gel.

Contribution

It provides the first accurate modeling of brain tissue as a Mooney-Rivlin material at large strains, supported by experimental and numerical validation.

Findings

Brain matter is about 30 times less resistant to shear than silicone gel.

Brain tissue exhibits positive Poynting effect in nonlinear elasticity.

Stress and strain fields are mostly homogeneous in simple shear.

Abstract

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.