Micro-mechano-morphology-informed continuum damage modeling with intrinsic 2nd gradient (pantographic) grain–grain interactions
Micro-mechano-morphology-informed continuum damage modeling with intrinsic 2nd gradient (pantographic) grain–grain interactions
复制标题
具有内在第二梯度（缩放）颗粒与颗粒相互作用的微机械形态学连续损伤建模
DOI：
10.1016/j.ijsolstr.2022.111880
复制
发表时间：
2022
影响因子：
3.6
通讯作者：
dell’Isola, Francesco
中科院分区：
文献类型：
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作者：
Placidi, Luca;Timofeev, Dmitry;Maksimov, Valerii;Barchiesi, Emilio;Ciallella, Alessandro;Misra, Anil;dell’Isola, Francesco
在以前的工作中，我们已经表明，颗粒细观力学方法可以导致加载路径依赖的连续体模型。在本工作中，我们推广了这种微力学方法，引入了晶粒相互作用中固有的第二梯度能量储存机制（类似于受电弓微机制）。这种机制代表了长程效应，但也可以被认为是来自于利用粒状超材料中两个晶粒之间的实际受电弓连接。利用在以前的工作中发展的均质化方法，我们确定了宏观尺度连续体的力学行为，并对平均晶间距离和与受电项相关的刚度进行了参数分析。我们表明，在包含上述受电弓项的情况下，可以成功地建模和微调定位区所需的厚度。我们还表明，载荷路径依赖的复杂力学可以通过微力学效应和引入的受电术语来预测。
In a previous work, we have shown that a granular micromechanics approach can lead to load path dependent continuum models. In the present work, we generalize such a micromechanical approach introducing an intrinsic 2nd gradient energy storage mechanism (resembling pantographic micromechanism), in the grain–grain interaction. Such a mechanism, represents long-range effects but could also be thought as deriving from the utilization of an actual pantographic connection between two grains in a granular metamaterial. Taking advantage of the homogenization approach developed in previous works, we determine the mechanical behavior of the macro-scale continuum and carry out parametric analyses with respect to the averaged intergranular distance and with respect to the stiffness associated to the pantographic term. We show that with the inclusion of the pantographic term mentioned above, the desired thickness of the localization zone can be modeled and finely tuned successfully. We also show that the complex mechanics of load-path dependency can be predicated by the micromechanical effects and the introduced pantographic term.