Phase field simulation of a directional solidification of a ternary eutectic Mo-Si-B Alloy

Kazemi, Omid; Hasemann, Georg; Krüger, Manja; Halle, Thorsten

doi:10.1088/1757-899x/118/1/012028

Cited by 5 publications

(4 citation statements)

References 9 publications

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“…[178] The effects of planar geometric confinement on the resulting eutectic microstructures were examined, and several microstructural features rarely seen in experiments were discovered. [184] Ternary eutectic systems, in which three solid phases form simultaneously, were studied for lamellar growth in two dimensions [185] and spiral growth of two-phase rods embedded in a matrix phase in three dimensions. [182,183] The results showed a wide variety of morphological patterns, such as spiral eutectic colony structure, due to interfacial energy anisotropy.…”

Section: Absorption-induced Transparency and Localized Enhanced Opticmentioning

confidence: 99%

“…[182,183] The effects of the temperature profile were investigated, and a lamellar-to-rod microstructural transition was found in the directional solidification of the eutectic with the temperature gradient direction transverse to the solidification direction. [184] Ternary eutectic systems, in which three solid phases form simultaneously, were studied for lamellar growth in two dimensions [185] and spiral growth of two-phase rods embedded in a matrix phase in three dimensions. [186][187][188] Eutectic phase-field models have been employed to simulate many different types of eutectic material systems, including metals and ionic compounds.…”

Section: Phase-field Modeling Of Eutectic Microstructure Evolutionmentioning

confidence: 99%

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Template‐Directed Solidification of Eutectic Optical Materials

Kulkarni

Kohanek

Tyler

et al. 2018

Advanced Optical Materials

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polarizers, some waveguides, and many lasers. [1][2][3] Materials with powerful optical functionalities, including negative-index of refraction and optical chirality, can be realized by appropriate placement of materials with suitable properties in 2D or 3D space. [4][5][6] Light in the visible spectrum can be manipulated, although the tolerance for defects is exceedingly low at visible frequencies, and the number of materials with the appropriate properties is limited. [7,8] Most photonic crystals are fabricated by high-resolution top-down 2D patterning methods such as electron-beam lithography, interference lithography, and focused ion beam milling. [9] However, it is challenging to fabricate large-area bulk materials with these techniques, especially with intricate internal structures. [8] Additionally, many materials with promising optical properties are not compatible with these top-down patterning methods. [4,10] As work on colloidal crystals has shown, controlled self-assembly is an effective route to organizing materials into 3D architectures, which interact strongly with light. [9][10][11][12][13] Colloidal self-assembly, however, only offers a limited set of symmetries (generally those of close packed arrangements), and a spherical basis. [12] For many applications, considerably more complex structures are of interest. Particularly promising approaches for forming materials with complex internal microstructures include eutectic solidification and block copolymer self-assembly, [14][15][16][17] and materials with interesting optical properties have been reported using both approaches. These methods are advantageous due to the wide range of microstructures they form. Here, we focus on the structures formed by eutectic solidification since materials with a broader range of optical properties are available compared to that provided by block copolymers, and because the characteristic lengths of structures accessible through eutectic solidification better match the wavelengths of visible and IR light. Further, forming materials with sufficiently large characteristic dimensions for interaction with visible light by block copolymer assembly is synthetically challenging as it requires high molecular weight polymers. [18] Similarly, self-assembly of other building blocks, e.g., nanoparticles, [19,20] molecules, [21,22] and DNA, [23,24] tend to produce structures with characteristic dimensions too small to provide strong light-matter interactions (via diffractive phenomena), [2,3,25] and are thus not the emphasis of this review.Mesostructured materials can exhibit enhanced light-matter interactions, which can become particularly strong when the characteristic dimensions of the structure are similar to or smaller than the wavelength of light. For controlling visible to near-infrared wavelengths, the small characteristic dimensions of the required structures usually demand fabrication by sophisticated lithographic techniques. However, these fabrication methods are restricted to producing 2D and a limited range of 3D...

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Section: Absorption-induced Transparency and Localized Enhanced Opticmentioning

confidence: 99%

Section: Phase-field Modeling Of Eutectic Microstructure Evolutionmentioning

confidence: 99%

Template‐Directed Solidification of Eutectic Optical Materials

Kulkarni

Kohanek

Tyler

et al. 2018

Advanced Optical Materials

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“…Within these formulations, the comparatively high values in Equation (11) for the phase NiAl are notable, which describe the quadratic dependency on Mo c. These high values are a result of the relatively small amount of Mo in the phase, which increases the complexity of the modeling. Similar to the modeling of stoichiometric phases [14,58], a strong curvature is applied to the polynomial in the direction of the Mo concentration to prevent a wide variance of Mo c. With this, the stability of the thermodynamic system is ensured.…”

Section: Tempmentioning

confidence: 99%

“…Within this method, partial differential equations are numerically solved to simulate the phase transfer process during solidification driven by diffusion and phase transformations [3][4][5][6]. In the last decade, the directional solidification of several binary [7,8] and ternary systems [7][8][9][10][11][12][13][14][15] have been examined in two-and three-dimensional large-scale phase-field simulations.…”

Section: Introductionmentioning

confidence: 99%

Phase-Field Simulation of the Microstructure Evolution in the Eutectic Alloy NiAl-31Cr-3Mo

et al. 2023

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The directionally solidified eutectic alloy NiAl-(Cr,Mo) is a promising candidate for structural applications at high temperatures, due to its increased creep resistance compared to its single phase B2ordered NiAl counterpart. This system yields an eutectic trough connecting the invariant reactions of the ternary alloys NiAl-Cr and NiAl-Mo. During directional solidification (DS) along this trough the evolved microstructures of the two-phase eutectic is changing from fibrous to lamellar and back to fibrous morphology while increasing and decreasing the amounts of Mo and Cr, respectively. To investigate these effects in the morphology, the phase-field method has proven to be predestined in the last decades. However, as the modeling of quaternary systems is challenging for the simulation with a grand potential based phase-field model, the focus of this work is on the generation of a material model for one defined compound namely NiAl-31Cr-3Mo. The modeling is validated by investigating the microstructure evolution in two- and three-dimensional simulations of the DS process for two different growth velocities and by investigating their undercooling spacing relationships. The evolving microstructures obtained from three-dimensional large-scale simulations are presented and validated with corresponding micrographs from scanning electron microscopy (SEM) of directionally solidified samples with the same growth velocities. The simulation results show the theoretically expected behaviors and are in qualitative and quantitative accordance with DS experiments. The study of NiAl-31Cr-3Mo serves as the basis for a comprehensive data-driven analysis of microstructure properties and system quantities of the entire quaternary material NiAl-(Cr,Mo). With this, an accelerated design of advanced materials is promoted.

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