International Journal of Engineering Science ( IF 6.6 ) Pub Date : 2022-05-05 , DOI: 10.1016/j.ijengsci.2022.103688 Jacopo Ciambella , Giulio Lucci , Paola Nardinocchi , Luigi Preziosi
We present a continuum model to describe the reorientation of an anisotropic material structure, characterized by two fiber families able to modify their orientations following different evolution dynamics. The evolution equations are derived in a thermodynamically consistent way, and passive and active contributions to the reorientation process are identified. It is shown that a weaker extension of a well-known coaxiality result holds. The transversely isotropic and orthotropic cases are then recovered by imposing the proper constraint on the fiber rotation. Applications to biological experiments on cell layers under stretch are discussed, showing a good agreement between the model and the experimental results. Even though we focus on cell layers, our framework remains general and may be employed to describe reorientation in engineering materials.
中文翻译:
各向异性材料中的被动和主动纤维重新定向
我们提出了一个连续模型来描述各向异性材料结构的重新定向,其特征在于两个纤维族能够根据不同的演化动力学修改它们的方向。演化方程以热力学一致的方式导出,并确定了对重新定向过程的被动和主动贡献。结果表明,众所周知的同轴度结果的较弱扩展成立。然后通过对纤维旋转施加适当的约束来恢复横向各向同性和正交各向异性的情况。讨论了在拉伸下的细胞层生物实验中的应用,表明模型和实验结果之间有很好的一致性。即使我们专注于细胞层,我们的框架仍然是通用的,可以用来描述工程材料中的重新定向。