Strain Localization in an Oscillating Maxwell Viscoelastic Cylinder.
Strain Localization in an Oscillating Maxwell Viscoelastic Cylinder.
复制标题
振荡麦克斯韦粘弹性圆柱体中的应变局部化。
DOI：
10.1016/j.ijsolstr.2013.09.022
复制
发表时间：
2014
影响因子：
3.6
通讯作者：
Genin,GuyM
中科院分区：
文献类型：
--
作者：
Massouros,PanagiotisG;Bayly,PhilipV;Genin,GuyM
简单的、轴对称的、粘弹性结构的瞬态旋转响应对于用磁共振技术来描述材料和封闭结构（如大脑）的实验解释是有意义的。在这里，我们研究了麦克斯韦粘弹性圆柱体对其外边界的小正弦位移的响应。瞬态应变场可以用几种传统方法中的任何一种以封闭形式计算。结果令人惊讶：当波前离开圆柱体中心时，应变场会形成一个奇点，并在波前反射到圆柱体外边界并返回圆柱体中心时持续存在。奇点在波前离开圆柱体中心后交替湮灭和重新启动，直到它在稳态振荡极限时消失。我们提出了这个应变场的解决方案，描述了这个奇点的性质，并讨论了它在大脑的机械反应和进化形态中的潜在作用。
The transient rotation responses of simple, axisymmetric, viscoelastic structures are of interest for interpretation of experiments designed to characterize materials and closed structures such as the brain using magnetic resonance techniques. Here, we studied the response of a Maxwell viscoelastic cylinder to small, sinusoidal displacement of its outer boundary. The transient strain field can be calculated in closed form using any of several conventional approaches. The solution is surprising: the strain field develops a singularity that appears when the wavefront leaves the center of the cylinder, and persists as the wavefront reflects to the outer boundary and back to the center of the cylinder. The singularity is alternately annihilated and re-initiated upon subsequent departures of the wavefront from the center of the cylinder until it disappears in the limit of steady state oscillations. We present the solution for this strain field, characterize the nature of this singularity, and discuss its potential role in the mechanical response and evolved morphology of the brain.