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Evaluation of elastic modulus of epoxy reinforced with 200 nm thick alumina platelets through finite element analysis

机译：通过有限元分析评估200 nm厚氧化铝片增强环氧树脂的弹性模量

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摘要

Effective elastic modulus of epoxy composites reinforced with randomly distributed and oriented platelets is evaluated for the case of uniaxial tensile loading using the finite element method. The composites considered had 200 nm thick platelets having in plane size in the range of 3-20 μm as reinforcements. Considering the platelets as elliptical discs, an elaborate study was first conducted using the representative volume element (RVE) approach to investigate the effect of size of the platelets, their distribution, orientation and local stacking on the elastic modulus for composites having up to 10% platelet volume fraction. For each case, comparison was also made with the estimates obtained using Mori-Tanaka method. Further RVE with platelets of assorted size was analyzed to identify the effect of size assortment on the elastic modulus. The assortment of size was carried out by discretizing the actual size distribution of the platelets used to prepare the composites. The elastic modulus obtained from the RVE with assorted size platelets, oriented and distributed randomly, agreed well with the experimental data once the local stacking of platelets was accounted for. The results of the study indicated that for highly planar reinforcements like platelets oriented randomly, the local stacking of the platelets has greater influence on the composite modulus whereas the assorted size has only lesser significance.
机译：对于单轴拉伸载荷的情况，使用有限元方法评估了随机分布和取向的血小板增强的环氧复合材料的有效弹性模量。所考虑的复合物具有200nm厚的片，其具有在3-20μm范围内的平面尺寸作为增强物。将血小板视为椭圆形圆盘，首先使用代表性体积元素（RVE）方法进行了详尽的研究，以研究血小板尺寸，其分布，取向和局部堆积对不超过10％的复合材料的弹性模量的影响血小板体积分数。对于每种情况，还与使用Mori-Tanaka方法获得的估计值进行了比较。分析了具有大小不同的血小板的进一步RVE，以鉴定大小不同对弹性模量的影响。通过离散化用于制备复合材料的血小板的实际尺寸分布来进行尺寸分类。一旦考虑了血小板的局部堆积，从具有各种尺寸的血小板的RVE获得的弹性模量是随机取向和分布的，与实验数据非常吻合。研究结果表明，对于高度平坦的增强材料（如随机取向的血小板），血小板的局部堆积对复合模量的影响更大，而分类尺寸的重要性较小。

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