Modeling and numerical evaluation of effective thermal conductivities of fibre functionally graded materials

Turant, J.

doi:10.1016/j.compstruct.2016.09.068

Cited by 9 publications

(7 citation statements)

References 8 publications

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“…A hybrid finite element method was developed in [ 7 ] to evaluate the effective thermal conductivity of fiber-reinforced composites. A numerical evaluation of the effective thermal conductivities of functionally graded fiber materials was used in [ 8 ] for the purpose of validating the method proposed for their calculations.…”

Section: Introductionmentioning

confidence: 99%

“…In the presented paper, the stochastic parameters of effective thermal conductivities are analyzed for the case of a multilayer laminate filled with long, rectilinear fibers with a circular cross-section. An analysis of the effective thermal conductivities was performed on the virtual laboratory stand proposed in [ 8 ]. The model of the stand and the tested composite specimen were created using a finite element model.…”

Section: Introductionmentioning

confidence: 99%

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Stochastic Thermal Properties of Laminates Filled with Long Fibers

Turant

2021

Materials

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In this paper, the stochastic parameters of the effective thermal conductivity of multilayer composites are considered. The examined specimens of composites were built with a different number of layers and each had a different saturation density of a composite matrix with fibers. For each case of laminate built with a prescribed number of layers and assumed saturation density, 10,000 tests of its effective thermal conductivity were carried out using numerical experiments. It was assumed that the fibers located in each layer were rectilinear, had a circular cross-section and that they could take random positions in their repeatable volume elements (RVEs). In view of the mentioned assumptions, the heat flux passing throughout a cross-section of a composite sample, perpendicular to the fibers’ direction, was considered. The probability density functions were fitted to the obtained data and then the chosen stochastic parameters of the effective thermal conductivity coefficients were determined.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stochastic Thermal Properties of Laminates Filled with Long Fibers

Turant

2021

Materials

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“…The isogeometric approach to shape optimisation was discussed by Wang, Turteltaub & Abdalla [13] and Wang & Kumar [14]. Effective thermal conductivities in gradient materials were discussed by Turant [15] and Turant & Radaszewska [16].…”

Section: Introductionmentioning

confidence: 99%

“…sts of a synthesis and analysis stage. To formulate sensitivity mary and two additional problems associated with each e finite element net during the heat and mass transfer of the The structure at the analysis stage is approximated by means (15) The iterative procedure consists of a synthesis and analysis stage. To formulate sensitivity expressions, we solve the primary and two additional problems associated with each thickness.…”

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confidence: 99%

Determination of Material Thicknesses in Protective Clothing for Firefighters

Korycki

2018

Fibres and Textiles in Eastern Europe

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The basic protective clothing for firefighters does not contact the flame and provides a relatively short exposure time to heat flux of prescribed density. Simultaneously the structure is subjected to sweat diffusion from the skin. The problem is determined mathematically by means of second-order differential equations accompanied by a set of boundary and initial conditions. Determination of the material thicknesses is gradient oriented. The optimal thicknesses are determined as a numerical example.

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“…In order to overcome the limitations of the theoretical predictions for physical properties of composites, the numerical methods have often been utilized. 7–10 Especially, the lattice Boltzmann method got a lot of attention in various fields because of its unique advantages. 11,12 It has advantages such as the easy processing of boundary condition, the simple model structure, the fast calculation speed, and the applicability for multiphase and micro-scale problems, and is therefore suitable for simulating composites with complex internal structure.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional lattice Boltzmann modeling for effective thermal conductivity in carbon black filled composites

Kim

Tan

Kim³

2017

Journal of Composite Materials

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Polymer composites filled with thermally conductive particles are widely used in thermo-electronic industry, and the prediction of effective properties is still important for design and use of composites. Thus, we propose a lattice Boltzmann model to predict the effective thermal conductivity of composites filled with carbon black. First, a method for reconstructing numerical material having filler distribution characteristic similar to that of actual material is introduced, and the process for obtaining the phase function and the volume fraction of grain filler is described. The energy transport governing equation is then solved through the two-dimensional discrete structure by using a lattice Boltzmann model. The effective thermal conductivity of two-phase composite is expressed by the conductivity of each phase and the temperature distribution in discrete rectangle. The resultant prediction is compared with theoretical and experimental data and indicates good agreement with experimental data.

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Modeling and numerical evaluation of effective thermal conductivities of fibre functionally graded materials

Cited by 9 publications

References 8 publications

Stochastic Thermal Properties of Laminates Filled with Long Fibers

Stochastic Thermal Properties of Laminates Filled with Long Fibers

Determination of Material Thicknesses in Protective Clothing for Firefighters

Two-dimensional lattice Boltzmann modeling for effective thermal conductivity in carbon black filled composites

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