Parameter Identification by Inverse Modelling of Biaxial Tensile Tests for Discontinous Fiber Reinforced Polymers

Schemmann, Malte; Brylka, Barthel; Gajek, Sebastian; Böhlke, Thomas

doi:10.1002/pamm.201510168

Cited by 6 publications

(2 citation statements)

References 6 publications

(9 reference statements)

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“…with the volume of all fibers V f and V F being the volume of fibers pointing through F (see [5, 28]). Equation (5) demonstrates the transformation of a volume average, e.g., over V F , into an average over corresponding parts of the unit sphere.…”

Section: Variety Of Fiber Orientation Tensorsmentioning

confidence: 99%

Variety of fiber orientation tensors

Bauer

Böhlke

2021

Mathematics and Mechanics of Solids

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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.

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Section: Variety Of Fiber Orientation Tensorsmentioning

confidence: 99%

Variety of fiber orientation tensors

Bauer

Böhlke

2021

Mathematics and Mechanics of Solids

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“…The ultimate goal of modelling the FOD and FLD is to use the modelling results to predict the mechanical properties of the LFT composites [220,[231][232][233][234][235][236][237][238][239][240][241][242][243][244][245][246][247][248][249][250]. Two approaches have been normally used to model the elastic properties of LFT composites, namely, micromechanical modelling and numerical simulation of a composite representative volume element (RVE) [188].…”

Section: Fibre Content Fod and Fldmentioning

confidence: 99%

A review of Long fibre thermoplastic (LFT) composites

Ning

Lü

Hassen

et al. 2019

International Materials Reviews

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Long fibre-reinforced thermoplastic or long fibre thermoplastic (LFT) composites possess superior specific modulus and strength, excellent impact resistance, and other advantages such as ease of processability, recyclability, and excellent corrosion resistance. These advantages make LFT composites one of the most advanced lightweight engineering materials and enable their increasing use in various applications. This review paper summarises the research and development work that has been conducted on LFT composites since their initial development. Different aspects of LFTs, such as process development, fibre orientation distribution (FOD), fibre length distribution (FLD), and their effects on the mechanical properties of LFT composites are described. The characterisation of the FOD and FLD in the LFT composites using advanced imaging technology such as highresolution 3D micro-CT scanning technique is summarised. Research and development of LFT hybridisation and LFT additives are also discussed. Finally, conclusions are made and the future outlook of LFT composites is given.

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Characterization of loading, relaxation, and recovery behaviors of high‐density polyethylene using a three‐branch spring‐dashpot model

Shi,

Jar

2024

Polymer Engineering & Sci

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This paper presents an analysis of the stress evolution of high‐density polyethylene (HDPE) at loading, relaxation, and recovery stages in a multi‐relaxation‐recovery (RR) test. The analysis is based on a three‐branch spring‐dashpot model that uses the Eyring's law to govern the viscous behavior. The spring‐dashpot model comprises two viscous branches to represent the short‐ and long‐term time‐dependent stress responses to deformation, and a quasi‐static branch to represent the time‐independent stress response. A fast numerical analysis framework based on genetic algorithms was developed to determine values for the model parameters so that the difference between the simulation and the experimental data could be less than 0.08 MPa. Using this approach, values of the model parameters were determined as functions of deformation and time so that the model can simulate the stress response at loading, relaxation, and recovery stages of the RR test. The simulation also generated 10 sets of model parameter values to examine their consistency. The study concludes that the three‐branch model can serve as a suitable tool for analyzing the mechanical properties of HDPE, and values for the model parameters can potentially be used to characterize the difference among PEs for their mechanical performance.Highlights Developed computer programs to determine parameter values automatically. Explained the unusual stress drop during stress recovery after unloading. Evaluated the statistical range of the parameter values for the good fitting.

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Parameter Identification by Inverse Modelling of Biaxial Tensile Tests for Discontinous Fiber Reinforced Polymers

Cited by 6 publications

References 6 publications

Variety of fiber orientation tensors

Variety of fiber orientation tensors

A review of Long fibre thermoplastic (LFT) composites

Characterization of loading, relaxation, and recovery behaviors of high‐density polyethylene using a three‐branch spring‐dashpot model

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