Homogenization of linear elastic properties of short-fiber reinforced composites – A comparison of mean field and voxel-based methods

Müller, Viktor; Kabel, Matthias; Andrä, Heiko; Böhlke, Thomas

doi:10.1016/j.ijsolstr.2015.02.030

Cited by 58 publications

(33 citation statements)

References 47 publications

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“…The second approach is based on the homogenization of the elastic composite behavior by defining a homogenized stiffness tensor from the matrix and the reinforcement fibers [15,40]. Amongst those using models based on homogenization, some authors allow for linear elastic behavior [40], while others include ratedependency in the elastic behavior [15]. The model described in this work follows a simple homogenization scheme based on the Voigt mixing rule algorithm.…”

Section: Linear Elastic Behaviormentioning

confidence: 99%

Investigation of mechanical impact behavior of short carbon-fiber-reinforced PEEK composites

Garcia‐Gonzalez

Rodríguez-Millán

Rusinek³

et al. 2015

Composite Structures

109

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Investigation of mechanical impact behavior of short carbon-fiber-reinforced PEEK composites, Composite Structures (2015), doi: http://dx.Abstract. This paper describes the results of an experimental and numerical investigation of the impact behavior of short carbon fiber reinforced polyether-ether-ketone (SCFR PEEK) composites. The biocompatibility of PEEK and its short fiber composites, their rapid processing by injection molding and suitability for modern imaging have supported technological advances in prosthetic implants used in orthopedic medicine. Surgical implants, including hip and cranial implants, can experience clinically significant impact loading during medical installation and useful life. While the incorporation of short fibers in a thermoplastic matrix can produce significant improvements in stiffness and strength, it can also cause a marked reduction in ductility, making study of their energy absorption capability essential. In this work, the mechanical impact behavior of PEEK composites reinforced with polyacrylonitrile (PAN) short carbon fibers 30 % in weight is compared with unfilled PEEK. The perforation tests conducted covered an impact kinetic energy range from 21 J to 131 J, equivalent to the range observed in a fall, the leading cause of hip fractures. Energy absorption capability, damage extension and failure mechanism have been quantified and reported. A numerical modeling that includes homogenization of elastic material and 1 anisotropic damage is presented and validated with experimental data. At all impact energies, SCFR PEEK composites showed a brittle failure and their absorption energy capability decreases drastically in comparison with unfilled PEEK.

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Section: Linear Elastic Behaviormentioning

confidence: 99%

Investigation of mechanical impact behavior of short carbon-fiber-reinforced PEEK composites

Garcia‐Gonzalez

Rodríguez-Millán

Rusinek³

et al. 2015

Composite Structures

109

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“…In addition, endophyte-inoculated pepper plants under drought conditions produced a much lower concentration of ethylene (Figure 4A ) that might explain the reduced senescent aspect of the plants, compared with the non-inoculated plants (Figure 4B ). Reduction of ethylene production under water-stress conditions is one of the most commonly reported plant responses mediated by PGB inoculation in various crops (Glick et al, 2007 ; Glick, 2014 ; Müller et al, 2015 ). This reduction of ethylene production seems to be meditated among other factors by the production of ACC-deaminase by the microorganism as we have described previously (Vílchez et al, 2016 ) although we do not discard other mechanisms as those described in the Introduction.…”

Section: Resultsmentioning

confidence: 99%

“…From the homogenized samples, 10–30 mg of dry samples were taken and added into 1 mL of 80% methanol with ribitol (1 μM, as an internal standard) in 1.5 mL tubes with 0.5 g of acid-washed glass/ceramic beads with a diameter not greater than 0.5 mm (Müller et al, 2015 ). Then the samples were homogenized immediately three times at 6.5 m/s for 45 s using a FastPrep homogenizer (MP Biomedicals, USA).…”

Section: Methodsmentioning

confidence: 99%

Protection of Pepper Plants from Drought by Microbacterium sp. 3J1 by Modulation of the Plant's Glutamine and α-ketoglutarate Content: A Comparative Metabolomics Approach

et al. 2018

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Drought tolerance of plants such as tomato or pepper can be improved by their inoculation with rhizobacteria such as Microbacterium sp. 3J1. This interaction depends on the production of trehalose by the microorganisms that in turn modulate the phyto-hormone profile of the plant. In this work we describe the characterization of metabolic changes during the interaction of pepper plants with Microbacterium sp. 3J1 and of the microorganism alone over a period of drought. Our main findings include the observation that the plant responds to the presence of the microorganism by changing the C and N metabolism based on its glutamine and α-ketoglutarate content, these changes contribute to major changes in the concentration of molecules involved in the balance of the osmotic pressure. These include sugars and amino-acids; the concentration of antioxidant molecules, of metabolites involved in the production of phytohormones like ethylene, and of substrates used for lignin production such as ferulic and sinapic acids. Most of the altered metabolites of the plant when inoculated with Microbacterium sp. 3J1 in response to drought coincided with the profile of altered metabolites in the microorganism alone when subjected to drought, pointing to a response by which the plant relies on the microbe for the production of such metabolites. To our knowledge this is the first comparative study of the microbe colonized-plant and microbe alone metabolomes under drought stress.

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“…After determining the local domains in the RVE, the equivalent properties can be estimated by the volume average method of the full field simulation [43]. Muller et al [44] calculated linear elastic properties which predicted the properties of randomly distributed GDL tissues without considering compression.…”

Section: Introductionmentioning

confidence: 99%

“…The porosity, fiber volume fraction (FVF) and fiber anisotropy in the GDL were calculated with the compression ratio. In order to evaluate the equivalent properties, the Fourier series-based homogenization technique was applied based on the same fiber volume ratio and orientation tensor in previous study [44]. A subroutine script for the Fourier series-based homogenization method was created through a Python input file in Abaqus.…”

Section: Introductionmentioning

confidence: 99%

A Study on the Evaluation of Effective Properties of Randomly Distributed Gas Diffusion Layer (GDL) Tissues with Different Compression Ratios

Lee¹,

Choi

Kang

et al. 2020

Applied Sciences

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The gas diffusion layer (GDL) typically consists of a thin layer of carbon fiber paper, carbon cloth or nonwoven and has numerous pores. The GDL plays an important role that determines the performance of the fuel cell. It is a medium through which hydrogen and oxygen are transferred and serves as a passage through which water, generated by the electrochemical reaction, is discharged. The GDL tissue undergoes a compressive loading during the stacking process. This leads to changes in fiber content, porosity and resin content due to compressive load, which affects the mechanical, chemical and electrical properties of the GDL and ultimately determines fuel cell performance. In this study, the geometry of a GDL was modeled according to the compression ratios (10%, 20%, 30%, 40% and 50%), which simulated the compression during the stacking process and predicted the equivalent properties according to the change of GDL carbon fiber content, matrix content and pore porosity, etc. The proposed method to predict the equivalent material properties can not only consider the stacking direction of the material during stack assembling process, but can also provide a manufacturing standard for fastening compressive load for GDL.

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Homogenization of linear elastic properties of short-fiber reinforced composites – A comparison of mean field and voxel-based methods

Cited by 58 publications

References 47 publications

Investigation of mechanical impact behavior of short carbon-fiber-reinforced PEEK composites

Investigation of mechanical impact behavior of short carbon-fiber-reinforced PEEK composites

Protection of Pepper Plants from Drought by Microbacterium sp. 3J1 by Modulation of the Plant's Glutamine and α-ketoglutarate Content: A Comparative Metabolomics Approach

A Study on the Evaluation of Effective Properties of Randomly Distributed Gas Diffusion Layer (GDL) Tissues with Different Compression Ratios

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