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Finite element estimates of viscoelastic stiffness of short glass fiber reinforced composites

机译：短玻璃纤维增​​强复合材料粘弹性刚度的有限元估计

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An unstructured mesh Galerkin finite element method is used to obtain estimates of the viscoelastic moduli of short glass fiber reinforced polymer composites. Periodic Monte Carlo models with 125 identical inclusions are studied. Both spheroidal and spherocylindrical inclusions are considered. The estimates are compared against predictions of the dilute approximation, Mori-Tanaka (MT) and self-consistent (SC) models. It is shown that at small fiber fractions, the dilute approximation (Eshelby) model is exact. However, for the axial stiffness the dilute regime is limited to fiber volume loadings of a few tens of a percent while typical short glass fiber polymer composites have fiber loadings from 10 to 20 percent. It is found that in this concentrated regime, both MT and SC models give excellent predictions for all but the axial stiffness modulus. To assess the feasibility of reliable stiffness and vibration damping design of composite structures from short fiber reinforced polymers, Monte Carlo models with various fiber orientation distribution (POD) states are studied. It is shown that the quick Voigt (constant strain) orientation averaging procedure gives excellent viscoelastic stiffness predictions provided that the finite element estimates are used for the required moduli of the basis FOD state with fully aligned fibers. (C) 2017 Elsevier Ltd. All rights reserved.
机译：非结构网格Galerkin有限元方法用于获得短玻璃纤维增​​强聚合物复合材料的粘弹性模量估计值。研究了具有125个相同内含物的周期性蒙特卡洛模型。球形和球形球状夹杂物均被考虑。将估计值与稀疏近似，Mori-Tanaka（MT）和自洽（SC）模型的预测进行比较。结果表明，在较小的纤维含量下，稀疏近似（Eshelby）模型是精确的。但是，对于轴向刚度，稀薄的范围仅限于百分之几十的纤维体积载荷，而典型的短玻璃纤维聚合物复合材料的纤维载荷为10％至20％。结果发现，在这种集中状态下，除了轴向刚度模量，MT和SC模型均能提供出色的预测。为了评估由短纤维增强聚合物制成的复合结构可靠的刚度和减振设计的可行性，研究了具有各种纤维取向分布（POD）状态的Monte Carlo模型。结果表明，快速的Voigt（恒定应变）取向平均程序可以提供出色的粘弹性刚度预测，前提是有限元估计值用于纤维完全对齐的基础FOD状态所需的模量。 （C）2017 Elsevier Ltd.保留所有权利。

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