scholarly journals Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors

2021 ◽  
pp. 100152
Author(s):  
Florian Wittemann ◽  
Luise Kärger ◽  
Frank Henning
2021 ◽  
pp. 108128652110576
Author(s):  
Julian Karl Bauer ◽  
Thomas Böhlke

Fiber orientation tensors are established descriptors of fiber orientation states in (thermo-)mechanical material models for fiber-reinforced composites. In this paper, the variety of fourth-order orientation tensors is analyzed and specified by parameterizations and admissible parameter ranges. The combination of parameterizations and admissible parameter ranges allows for studies on the mechanical response of different fiber architectures. Linear invariant decomposition with focus on index symmetry leads to a novel compact hierarchical parameterization, which highlights the central role of the isotropic state. Deviation from the isotropic state is given by a triclinic harmonic tensor with simplified structure in the orientation coordinate system, which is spanned by the second-order orientation tensor. Material symmetries reduce the number of independent parameters. The requirement of positive-semi-definiteness defines admissible ranges of independent parameters. Admissible parameter ranges for transversely isotropic and planar cases are given in a compact closed form and the orthotropic variety is visualized and discussed in detail. Sets of discrete unit vectors, leading to selected orientation states, are given.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Senji Hamanaka ◽  
Chisato Nonomura ◽  
Thanh Binh Nguyen Thi ◽  
Atsushi Yokoyama

Abstract This study aims to clarify the relationship between the layer structure transition of fibers caused by the change in the flow field and the thermal properties and fiber interaction when the glass fiber content is changed. Polyamide 6 samples with different short glass fiber contents were prepared, and changes in layer structure during the flow process of injection molding were compared using X-ray computed tomography. An injection-molding simulation was performed to compare the changes in the layer structure of fibers during the flow process, and the temperature distribution and shear rate distribution were obtained by numerical analysis. Furthermore, the effect of fiber interaction on the layer structure transition of fibers was considered using a relaxation function composed of the fiber content, fiber shape factor, and strain rate.


Materials ◽  
2021 ◽  
Vol 14 (10) ◽  
pp. 2596
Author(s):  
Zhaogui Wang ◽  
Douglas E. Smith

Numerical studies for polymer composites deposition additive manufacturing have provided significant insight promoting the rapid development of the technology. However, little of existing literature addresses the complex yet important polymer composite melt flow–fiber orientation coupling during deposition. This paper explores the effect of flow–fiber interaction for polymer deposition of 13 wt.% Carbon Fiber filled Acrylonitrile Butadiene Styrene (CF/ABS) composites through a finite-element-based numerical approach. The molten composite flow in the extrusion die plus a strand of the deposited bead contacting the deposition substrate is modelled using a 2D isothermal and incompressible Newtonian planar flow model, where the material deposition rate is ~110 mm/s simulating a large scale additive manufacturing process. The Folgar–Tucker model associated with the Advani–Tucker orientation tensor approach is adopted for the evaluation of the fiber orientation state, where the orthotropic fitted closure is applied. By comparing the computed results between the uncoupled and fully coupled solutions, it is found that the flow-orientation effects are mostly seen in the nozzle convergence zone and the extrusion-deposition transition zone of the flow domain. Further, the fully coupled fiber orientation solution is highly sensitive to the choice of the fiber–fiber interaction coefficient , e.g., assigning as 0.01 and 0.001 results in a 23% partial relative difference in the predicted elastic modulus along deposition direction. In addition, Structural properties of deposited CF/ABS beads based on our predicted fiber orientation results show favorable agreements with related experimental studies.


2010 ◽  
Vol 5 (2) ◽  
pp. 148-153
Author(s):  
R. Furlan ◽  
S. V. Arroyo ◽  
R. O. F. Torres ◽  
J. A. M. Rosado ◽  
A. N. R. Da Silva

Electrospinning has been considered a straightforward way of producing nanofibers. In this work we are analyzing non-conventional approaches of the electrospinning process to better understand and explore the effect of electrostatic interactions. The processes we are investigating include the insertion of polymer inside the electric field keeping the capillary for polymer injection at a floating potential. Also, we are investigating different electrode configurations including: same as electrospinning (with and without polarization of the capillary for polymer injection), parallel macro electrodes and, microelectrodes (with tip to tip alignment). Image analysis reveals the occurrence of instabilities/oscillations of the polymer flow (caused by redistribution of charges). Improvement of polymer flow directionality and fiber diameter reduction are observed in comparison with conventional electrospinning. Fiber orientation can be obtained using parallel macro electrodes and micro electrodes.


2015 ◽  
Vol 825-826 ◽  
pp. 655-662 ◽  
Author(s):  
Fabian Buck ◽  
Barthel Brylka ◽  
Viktor Müller ◽  
Timo Müller ◽  
Andrew N. Hrymak ◽  
...  

The entire simulation process for long fiber reinforced thermoplastics is examined to determine the effective mechanical properties which are influenced by the microstructural fiber orientation state. Therefore, flow and fiber orientation simulations are conducted and the obtained fiber orientation tensors are used in two-scale structural simulations. The fiber orientation distributions as well as the mechanical properties are compared with micro-computed tomography data and results from threepoint bending tests performed by dynamical mechanical analysis (DMA), respectively. The validated results show that prediction of the essential mechanical properties is possible with the applied combinated methods and that the knowledge of the fiber orientation and its gradients is of crucial importance for the entire simulation process.


2012 ◽  
Vol 16 (5) ◽  
pp. 1551-1555 ◽  
Author(s):  
Zhan-Hong Wan ◽  
Zhen-Jiang You ◽  
Chang-Bin Wang

Temporal stability analysis of fiber suspended shear flow is performed. After introducing the second order structure tensor to determine the Folgar-Tucker inter-fiber interactions based on the Langevin?s equation, a system governing the flow stability is derived in conjunction with the fiber orientation closure. Effect of the inter-fiber interactions on the dynamic stability is studied by solving the general eigenvalue problem. Results show that fiber interaction has significant stabilizing effects on the flow. The most unstable wave number changes with the interaction coefficient. For given interaction coefficient, wave number and other relevant parameters, there is a Re number which corresponds to the critical flow. This Re number is related to the wave number.


2016 ◽  
Vol 100-101 ◽  
pp. 234-244 ◽  
Author(s):  
Matti Schneider ◽  
Matthias Kabel ◽  
Heiko Andrä ◽  
Alexander Lenske ◽  
Marek Hauptmann ◽  
...  

Materials ◽  
2005 ◽  
Author(s):  
David A. Jack ◽  
Douglas E. Smith

Material behavior of short-fiber composites can be found from the fiber orientation distribution function, with the only widely accepted procedure derived from the application of orientation/moment tensors. The use of orientation tensors requires a closure, whereby the higher order tensor is approximated as a function of the lower order tensor thereby introducing additional computational errors. We present material property expectation values computed directly from the fiber orientation distribution function, thereby alleviating the closure problem inherent to orientation tensors. Material properties are computed from statistically independent unidirectional fiber samples taken from the fiber orientation distribution function. The statistical nature of the distribution function is evaluated with Monte-Carlo simulations to obtain approximate stiffness tensors from the underlying unidirectional composite properties. Examples are presented for simple analytical distributions to demonstrate the effectiveness of expectation values and results are compared to properties obtained through orientation tensors. Results yield a value less than 1.5% for the coefficient of variation and suggest that the orientation tensor method for computing material properties is applicable only for the case of non-interacting fibers.


Author(s):  
Monon Mahboob ◽  
Stephen E. Bechtel

We present a novel method to compute the three dimensional orientation tensors of carbon nanofibers in CNF/polymer composites. Performance properties of nanofiber composites are significantly affected by fiber orientation patterns. So an accurate description of the fiber orientation is necessary to validate models relating processing technique and properties of the final composites. Orientation tensors and probability distribution functions (PDF) are commonly used to describe orientation patterns. But physical dimensions of nanofibers and the imaging technique (Transmission Electron Microscopy, TEM) make all currently available methods of image analysis useless to accurately computing these descriptions in 3-dimensions. In this study TEM sections are cut with specific thickness and angle that result in majority of the fibers being cut at both ends. Fiber projection dimensions measured from this special section provide the complete three dimensional orientation of each fiber. This method is benchmarked by using simulated 3D samples in AutoCAD.


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