Granular micromechanics based continuum model for grain rotations and grain rotation waves
Granular micromechanics based continuum model for grain rotations and grain rotation waves
复制标题
DOI：
10.1016/j.jmps.2019.05.012
复制
发表时间：
2019-08
影响因子：
5.3
通讯作者：
Payam Poorsolhjouy;A. Misra
中科院分区：
文献类型：
--
作者：
Payam Poorsolhjouy;A. Misra
晶粒旋转是颗粒材料晶粒尺度形变运动学的关键组成部分。为了描述这些材料在大长度尺度上的变形，尽管目前的计算能力有限，连续体描述是有效和可取的。然而，很明显，晶粒尺度的变形机制对这些材料的宏观尺度行为有深远的影响。最近，作者提出了一种方法来解释这些材料连续体描述中颗粒旋转的影响（Misra和Poorsolhjouy， 2017）。在这里，我们进一步激发和阐述了建立所需的本构关系和变分原则的方法。该模型用于预测粮食旋转波及其色散。准静态测量和模拟支持了这种波的发生以及这种变形模式在颗粒材料内传递能量的能力，因此不能忽视。
Grain rotations are a key component of the grain-scale deformation kinematics of granular materials. For describing the deformation of these materials at large length scales, continuum description is efficient and desirable in spite of the current computational abilities. It is, however, clear that grain-scale deformation mechanisms have a profound impact upon the macro-scale behavior of these materials. Recently, the authors have presented an approach to account for the effects of grain rotations within the continuum description of these materials (Misra and Poorsolhjouy, 2017). Here, we further motivate and elaborate the approach to establish the needed constitutive relationships and variational principles. The derived model is then used to predict grain rotation waves and their dispersion. The occurrence of such waves and ability of this deformation mode to transmit energy within granular materials is supported by quasi-static measurements and simulations, and therefore cannot be discounted.