3D microstructure modeling of long fiber reinforced thermoplastics

Fliegener, Sascha; Luke, Michael; Gumbsch, Peter

doi:10.1016/j.compscitech.2014.09.009

Cited by 55 publications

(41 citation statements)

References 21 publications

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“…Particle reinforced polymers are integral to lightweight design, as the reinforcements not only increase the stiffness, but also reduce differential shrinkage for parts produced by compression or injection molding [42,43]. The arising complex microstructures pose difficulties for numerical homogenization.…”

Section: Fiber Reinforced Plastic (Frp)mentioning

confidence: 99%

Use of composite voxels in FFT-based homogenization

Kabel

Merkert

Schneider

2015

Computer Methods in Applied Mechanics and Engineering

116

122

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Section: Fiber Reinforced Plastic (Frp)mentioning

confidence: 99%

Use of composite voxels in FFT-based homogenization

Kabel

Merkert

Schneider

2015

Computer Methods in Applied Mechanics and Engineering

116

122

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“…• and 90 • -direction [4] it is reasonable to perform linear elastic simulations on the half resolution even if the original geometry resolves the fibers only with 3 voxels over the diameter.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…3 contains the measured stress-strain curve as determined by Fliegener [4]. The behavior is linear initially, followed by a plastic phase, roughly up to 5% strain.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Composite Voxels and FFT-Based Homogenization

Kabel¹,

Fink²,

Ospald³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. The FFT-based homogenization method of has reached a degree of sophistication and maturity, where it can be applied to microstructures of industrial size and realistic scope. However, for non-linear or load-path-dependent problems the method reaches its limits, in particular if variations of the geometry are considered or the determination of the full material law on the macro-scale is required.Time and memory considerations are primarily responsible for these limitations. This work focuses on the composite voxel technique, where sub-voxels are merged into bigger voxels to which an effective material law based on laminates is assigned. Due to the down-sampled grid, both the memory requirements and the computational effort are severely reduced, while retaining the original accuracy. We discuss the extensions of linear elastic ideas [6, 9] to incremental problems at small strains. In contrast to conventional model order reduction methods, our approach does neither rely upon a "offline phase" nor on preselected "modes". We demonstrate our ideas with several numerical experiments, comparing to full-resolution computations heavily relying upon our MPI-parallel implementation FeelMath [1].

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“…The numerical experiments section will culminate in investigating an LFT material consisting of a polypropylene matrix (DOW®;C711‐70RNA) reinforced with 30 wt % glass fibers (TufRov®;4575), for which experimental data is available .…”

Section: Numerical Investigationsmentioning

confidence: 99%

FFT‐based homogenization for microstructures discretized by linear hexahedral elements

Schneider

Merkert

Kabel

2016

Numerical Meth Engineering

111

133

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The FFT-based homogenization method of Moulinec-Suquet has recently emerged as a powerful tool for computing the macroscopic response of complex microstructures for elastic and inelastic problems. In this work, we generalize the method to problems discretized by trilinear hexahedral elements on Cartesian grids and physically nonlinear elasticity problems. We present an implementation of the basic scheme that reduces the memory requirements by a factor of four and of the conjugate gradient scheme that reduces the storage necessary by a factor of nine compared with a naive implementation. For benchmark problems in linear elasticity, the solver exhibits mesh- and contrast-independent convergence behavior and enables the computational homogenization of complex structures, for instance, arising from computed tomography computed tomography (CT) imaging techniques. There exist 3D microstructures involving pores and defects, for which the original FFT-based homogenization scheme does not converge

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3D microstructure modeling of long fiber reinforced thermoplastics

Cited by 55 publications

References 21 publications

Use of composite voxels in FFT-based homogenization

Use of composite voxels in FFT-based homogenization

Nonlinear Composite Voxels and FFT-Based Homogenization

FFT‐based homogenization for microstructures discretized by linear hexahedral elements

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