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首页> 外文期刊>International journal of non-linear mechanics >Mechanical modeling of rheometer experiments: Applications to rubber and actin networks
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Mechanical modeling of rheometer experiments: Applications to rubber and actin networks

机译：流变仪实验的机械建模：在橡胶和肌动蛋白网络中的应用

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摘要

Experiments on cross-linked actin networks in form of a circular cylinder conducted with a rheometer and parallel-plate geometry resemble a torsional problem of a cylinder undergoing large deformation. A commonly used approximation for the analysis of such experiments is simple shear which is inappropriate for the global analysis of the more complex 3D torsion deformation. We compare the solutions of the torsion of a cylinder with simple shear on the basis of three (phenomenological) rubber models and two network models for cross-linked actin. We start with rubber elasticity and show that the approximation for materials with linear shear elasticity may be reasonable. In the case of cross-linked actin networks, however, the strong strain-stiffening behavior causes higher deviations of simple shear from the more realistic torsional mode. Furthermore, we show that the frequently used eight-chain model cannot account for the correct normal stress behavior of cross-linked actin networks. A recently proposed affine network model reproduces the correct sign for the normal stress for both versions of the boundary conditions. The two solutions, however, differ significantly so that an approximation of the deformation mode in a parallel-plate rheometer by simple shear should be used with caution.
机译：用流变仪和平行板几何形状进行的圆柱形式的交联肌动蛋白网络实验类似于圆柱体发生大变形的扭转问题。分析此类实验的常用近似方法是简单剪切，不适用于更复杂的3D扭转变形的全局分析。我们基于三种（现象学）橡胶模型和两种网络模型的交联肌动蛋白，比较了简单剪切作用下圆柱体扭转的解决方案。我们从橡胶弹性开始，证明具有线性剪切弹性的材料的近似值可能是合理的。但是，在交联的肌动蛋白网络的情况下，较强的应变刚度行为会导致简单剪力与更实际的扭转模式有更大的偏差。此外，我们表明，常用的八链模型不能解释交联肌动蛋白网络的正确法向应力行为。最近提出的仿射网络模型为两种版本的边界条件都再现了正应力的正确符号。但是，这两种解决方案存在显着差异，因此应谨慎使用通过简单剪切在平行板流变仪中近似的变形模式。

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