The remarkable bending properties of perforated plates
The remarkable bending properties of perforated plates
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穿孔板卓越的弯曲性能
DOI：
10.1016/j.jmps.2021.104514
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发表时间：
2021
影响因子：
5.3
通讯作者：
Lopez-Pamies, Oscar
中科院分区：
文献类型：
--
作者：
Shrimali, Bhavesh;Pezzulla, Matteo;Poincloux, Samuel;Reis, Pedro M.;Lopez-Pamies, Oscar
本文结合多孔板在流体槽中的弯曲实验，对多孔板的弯曲响应进行了理论和实验研究。重点是实际相关的一类薄板（厚度h）的均匀各向同性材料，穿孔与周期性分布（与晶胞尺寸ε）的单分散孔跨越大范围的孔隙率，从稀释极限到近逾渗阈值。从理论的角度来看，为了量化各种本构和几何输入对其弯曲响应所起的作用，通过三种不同的方法对穿孔板进行建模：（i）作为由穿孔的非线性弹性材料制成的3D结构和作为由均匀的线性弹性材料制成的2D结构，其有效性质由以下得到：（i i）首先取降维极限（h 0），然后取均匀化极限（ε 0），反之亦然，（i i i）先取均匀化极限（ε <$0），再取降维极限（h <$0）。从实验的角度来看，利用激光雕刻模具制造具有六边形分布的椭圆孔的穿孔弹性体板。由此产生的穿孔板，然后经受由于其自重和通过X射线断层摄影测量的逐点变形的横向弯曲。值得注意的是，从现有的数学结果的一般预期为大的非均质板，结果表明，穿孔板的弯曲响应是相当不敏感的孔是否小于或大于板的厚度。相反，它是由它们的孔隙度，而空间分布和形状的基础孔只有相对边际的影响。
Motivated by recent experiments on the bending of porous strips towed through a fluid bath, a combined theoretical and experimental study is made of the bending response of perforated plates. The focus is on the practically relevant class of thin plates (with thickness h) made of a homogeneous isotropic material that is perforated with periodic distributions (with unit-cell size ε) of monodisperse holes spanning a large range of porosities, from the dilute limit to nearly the percolation threshold. From the theoretical point of view, with the objective of quantifying the roles that the various constitutive and geometric inputs play on the their bending response, the perforated plates are modeled by means of three different approaches:(i) as 3D structures made of a perforated nonlinear elastic material and as 2D structures made of homogeneous linear elastic materials whose effective properties result from (i i) first taking the limit of dimension reduction (h↘ 0) and then that of homogenization (ε↘ 0) and, vice versa,(i i i) first taking the limit of homogenization (ε↘ 0) and then that of dimension reduction (h↘ 0). From the experimental point of view, laser-engraved molds are utilized to fabricate perforated elastomeric plates with hexagonal distributions of elliptical holes. The resulting perforated plates are then subject to cantilever-bending due to their self weight and their pointwise deformation measured by means of X-ray tomography. Remarkably, counter to the general expectation from available mathematical results for heterogeneous plates at large, the results indicate that the bending response of perforated plates is fairly insensitive to whether the holes are smaller or larger than the plate thickness. Instead, it is dominated by their porosity, while the spatial distribution and shape of the underlying holes only have relatively marginal effects.
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由均质化解决方案构建的简单显式模型，用于弹性体复合泡沫的大应变机械响应
影响因子：
3.2
作者：
Shrimali, Bhavesh;Parnell, William J.;Lopez-Pamies, Oscar
通讯作者：
Lopez-Pamies, Oscar
DOI：
--
发表时间：
2015
期刊：
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作者：
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影响因子：
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DOI：
10.1016/0020-7683(84)90044-1
发表时间：
1984-01-01
影响因子：
3.6
作者：
KOHN, RV;VOGELIUS, M
通讯作者：
VOGELIUS, M
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影响因子：
2.7
作者：
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