Obtaining Orientation Distribution from Transient Rheology of Fiber-Reinforced Plastics
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초록
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We investigated fiber orientation states in polycarbonate carbon fiber-reinforced (PC-CFR) suspensions based on experimental stress wave-prints. We measured the stress evolution using a parallel plate rheometer at low shear rate. All possible orientation states on a unit sphere were considered as an input for the iARD-RPR and suspended WMT-X models. We used the Tikhonov regularization method combined with singular value decomposition to determine the fiber orientation distribution function in samples with different fiber concentrations. In addition, we evaluated the orientation tensors in the iARD-RPR model from the determined orientation distribution function to reconstruct the stress evolution, which were in reasonable agreement with experimental data. Finally, we visualized the fiber orientation states using ellipses calculated from the eigenvalues of the second-order orientation tensor.