Theoretical and Lattice Monte Carlo analyses on thermal conduction in cellular metals

Fiedler, Thomas; Belova, Irina V.; Murch, Graeme E.

doi:10.1016/j.commatsci.2010.09.011

Cited by 38 publications

(25 citation statements)

References 19 publications

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“…This is also shown with the coefficient of determination R 2 = 0.99 [9]. In addition, the results are in good agreement with a linear function by Fiedler et al [16] formulated to predict the normalised conductivity for thin-walled structures. Finally, good agreement is obtained with a previous thermal analysis of sintered HSS based on micro-computed tomography [15] (see triangular marker in Figure 4a).…”

Section: Convergence Analysissupporting

confidence: 73%

“…These calculations can be performed with the Finite Element Method (FEM) or Lattice Monte Carlo method (LMC). The model for the calculation can either be simplified [13,14] or based on real geometry [15][16][17][18] with the help of micro-computed tomography images. Fiedler et al [19,20] investigated the influence of the HSS wall thickness of simplified primitive cubic models.…”

Section: Introductionmentioning

confidence: 99%

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Thermal Conductivity Computations of Sintered Hollow Sphere Structures

Veyhl

Fiedler

Herzig

et al. 2012

Metals

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Abstract:The thermal conductivity of sintered hollow sphere structures (HSS) is investigated within the scope of this paper. For this purpose, finite element analyses based on micro-computed tomography images are performed on HSS structures. The complex geometry of the real sintered HSS sample is accurately captured with this new hybrid method. The numerical computations are investigated in three perpendicular directions (i.e., x, y and z) in order to examine the anisotropic material behaviour. The results indicate that sintered HSS reveals quasi-isotropic behaviour in terms of effective thermal conductivity. For the first time, the influence of the sphere wall thickness of real HSS is investigated. To this end, the computed tomography data is carefully manipulated by changing the thickness of the hollow sphere wall. The variation of the wall thickness alters the relative density and has a significant influence on the thermal conductivity. The influence of the relative density on the thermal conductivity reveals a linear dependency.

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Section: Convergence Analysissupporting

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Thermal Conductivity Computations of Sintered Hollow Sphere Structures

Veyhl

Fiedler

Herzig

et al. 2012

Metals

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“…The computed particle mobility is evaluated to determine the effective diffusivity. The method has been successfully applied towards the determination of effective oxygen diffusivity in scaffolds [14], thermal diffusivity [23], and mass diffusivity [22]. Detailed descriptions of the method can be found in the literature [21,24].…”

Section: Lattice Monte Carlo Methodsmentioning

confidence: 99%

“…1, 2). It was found [23] that for this type of structure the Dulnev model [27] provides the best result. We assume here that the model should describe well both diffusion along the struts [22] and diffusion in the open space of the structure (with necessary adjustments).…”

Section: Bg-pu Scaffold Structurementioning

confidence: 95%

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Oxygen diffusion in marine-derived tissue engineering scaffolds

Boccardi

Belova

Murch

et al. 2015

J Mater Sci: Mater Med

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This paper addresses the computation of the effective diffusivity in new bioactive glass (BG) based tissue engineering scaffolds. High diffusivities facilitate the supply of oxygen and nutrients to grown tissue as well as the rapid disposal of toxic waste products. The present study addresses required novel types of bone tissue engineering BG scaffolds that are derived from natural marine sponges. Using the foam replication method, the scaffold geometry is defined by the porous structure of Spongia Agaricina and Spongia Lamella. These sponges present the advantage of attaining scaffolds with higher mechanical properties (2-4 MPa) due to a decrease in porosity (68-76%). The effective diffusivities of these structures are compared with that of conventional scaffolds based on polyurethane (PU) foam templates, characterised by high porosity (>90%) and lower mechanical properties (>0.05 MPa). Both the spatial and directional variations of diffusivity are investigated. Furthermore, the effect of scaffold decomposition due to immersion in simulated body fluid (SBF) on the diffusivity is addressed. Scaffolds based on natural marine sponges are characterised by lower oxygen diffusivity due to their lower porosity compared with the PU replica foams, which should enable the best oxygen supply to newly formed bone according the numerical results. The oxygen diffusivity of these new BG scaffolds increases over time as a consequence of the degradation in SBF.

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On the Anisotropy of Lotus‐Type Porous Copper

et al. 2011

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This paper addresses the thermal and mechanical properties of lotus-type porous copper. The considered material belongs to the group of cellular metals that combine interesting thermal properties with controlled energy absorption by plastic deformation, high specific stiffness and strength, and structural and acoustic damping with a large internal surface area. [1] Cellular metals with lotus-type porosity (see Figure 1) are characterized by strong anisotropy, which is the focus of the current investigation. The alignment of pores results in high elastic stiffness/thermal conductivity along the axes of the tubular pores and minimum values inside the perpendicular plane.Lotus-type porous metals are manufactured in several different ways. For example, a continuous zone melting technique provides increased control of pore size and distribution and can also be applied towards matrix materials with relatively low thermal conductivities. In this technique, a moving metal rod is locally melted by an induction heating coil. Gas from the surrounding atmosphere dissolves in the melt and when the melt solidifies, insoluble gas pores evolve in the solidification direction. The pore geometry is predominantly controlled by the atmospheric pressure and the transference velocity of the rod. [2] Detailed information on continuous zone melting and the other production methods can be found in the literature. [3][4][5] Examples of potential applications of lotus-type porous metals range from sound absorption, [6] structural damping [7] to biomedicine. [8] The elastic behavior of lotus-type porous material has been the subject of prior research. In ref. [9] finite element analysis and experimental measurements were performed COMMUNICATION

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Theoretical and Lattice Monte Carlo analyses on thermal conduction in cellular metals

Cited by 38 publications

References 19 publications

Thermal Conductivity Computations of Sintered Hollow Sphere Structures

Thermal Conductivity Computations of Sintered Hollow Sphere Structures

Oxygen diffusion in marine-derived tissue engineering scaffolds

On the Anisotropy of Lotus‐Type Porous Copper

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