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Effective viscoelastic behavior of polymer composites with regular periodic microstructures
International Journal of Solids and Structures ( IF 3.6 ) Pub Date : 2021-01-22 , DOI: 10.1016/j.ijsolstr.2021.01.016
Tarkes Dora Pallicity , Thomas Böhlke

Polymer matrix exhibit linear viscoelasticity during processing of composites. The viscoelastic homogenization problem in the time-domain play a vital role in the virtual process simulations. In this paper, full-field simulations using finite element (FE) are carried out for different regular periodic microstructures of unidirectional (UD) fiber reinforced polymer (FRP) (i.e., short, and long fiber) composite and particulate composites. The incremental variational based mean-field homogenization (MFH) as proposed by Lahellec and Suquet (Lahellec and Suquet, 2007a) is used here for comparing with the full-field solutions. Two different elastic bounds-based homogenization methods are coupled with this scheme. Implementation is validated with benchmark problems of particulate composites. These are then compared with the solutions of different particulate microstructures (face centered cubic (FCC), body centered cubic (BCC) and simple cubic (SC)). Mean-field response is closer to FCC arrangement. Additionally, FCC and BCC arrangement indicated nearly the same response with different local field statistics. Relaxation in the effective modulus of UD FRP composites obtained from the MFH compared well with the full-field solution as a function of direction and time for hexagonal arrangement of long fiber and staggered arrangement of ellipsoidal short fibers. The effect of different aspect ratio, volume fraction and contrast in properties on the macroscopic response is additionally investigated. Glass and carbon fiber with an isotropic approximation is used for studying the effect of contrast. Double inclusion MFH scheme coupled with the incremental variational approach indicated better comparisons with the full-field solution of UD FRP composites.



中文翻译:

具有规则周期性微结构的聚合物复合材料的有效粘弹性行为

聚合物基体在复合材料的加工过程中表现出线性粘弹性。时域中的粘弹性均质化问题在虚拟过程仿真中起着至关重要的作用。在本文中,使用有限元(FE)对单向(UD)纤维增强聚合物(FRP)复合材料(即短纤维和长纤维)复合材料和颗粒复合材料的不同规则周期性微观结构进行了全场模拟。Lahellec和Suquet(Lahellec and Suquet,2007a)提出的基于增量变分的平均场均化(MFH)在这里用于与全场解进行比较。两种不同的基于弹性范围的均质化方法与此方案相结合。通过颗粒复合材料的基准问题验证了实施。然后将这些与不同微粒微观结构(面心立方(FCC),体心立方(BCC)和简单立方(SC))的解决方案进行比较。平均场响应更接近FCC布置。此外,FCC和BCC安排表明,不同的本地现场统计数据几乎具有相同的响应。MFH制得的UD FRP复合材料的有效模量与全场解的弛豫比较好,它是长纤维六边形排列和椭圆形短纤维交错排列的方向和时间的函数。此外,还研究了不同纵横比,体积分数和特性对比度对宏观响应的影响。使用各向同性近似的玻璃和碳纤维来研究对比度的影响。

更新日期:2021-02-18
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