Phase-field simulation of the microstructure evolution in the eutectic NiAl-34Cr system

Kellner, Michael; Sprenger, Ioannis; Steinmetz, Philipp; Hötzer, Johannes; Nestler, Britta; Heilmaier, Martin

doi:10.1016/j.commatsci.2016.11.049

Cited by 31 publications

(30 citation statements)

References 38 publications

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“…Our tool is the phase-field model constructed from Eqs.8, 9 with anisotropic interface energy specified by the anisotropy functions (Eqs. 10,11). The initial condition of the microstructure has three phases with a triple junction and three interfaces.…”

Section: Lattice Misfit and Interface Energy Anisotropymentioning

confidence: 99%

“…The total free energy can be described as the sum of chemical energy, interfacial energy, elastic energy. By using physical properties evaluated by other approaches, such as the CALPHAD method, First Principle calculation or experimental measurement, it is possible to perform quantitative or quasi-quantitative phase-field simulation [11]. The insights gained from the simulation will provide a deep understanding of material behavior, which is crucial for the optimization of processing parameters and material performance [12].…”

Section: Introductionmentioning

confidence: 99%

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Pattern formation mechanism of directionally-solidified MoSi2/Mo5Si3 eutectic by phase-field simulation

et al. 2020

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A phase-field study has been conducted to obtain an understanding of the formation mechanism of the script lamellar pattern of MoSi2/Mo5Si3 eutectic composite, which is a promising candidate for hightemperature structural application. The spacing of the lamellar pattern in the simulation results shows good agreement with that of experimental observations and analytical solutions under three growth rates: 10 mm·h -1 , 50 mm·h -1 , and 100 mm·h -1 . The discontinuity of Mo5Si3 rods, in contrast to the regular eutectic with a continuous pattern, is claimed to be caused by the instability of the solid-liquid interface. In this study, the implementation of Mo5Si3 nucleation over the solid-liquid interface has been proposed and successfully reproduced the characteristic of discontinuity. A highly random and intersected lamellar pattern similar to that observed in the ternary MoSi2/Mo5Si3 eutectic alloyed with 0.1at% Co has been obtained in simulation owing to the increase in the frequency of nucleation. In addition, it has been demonstrated that the inclination of the Mo5Si3 rod can be reproduced by taking into account the strong relaxation of lattice strain energy, which is generally considered to be negligible in eutectic reaction, as the result of the formation of ledge-terrace structure.

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Section: Lattice Misfit and Interface Energy Anisotropymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pattern formation mechanism of directionally-solidified MoSi2/Mo5Si3 eutectic by phase-field simulation

et al. 2020

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“…Because engineering materials are often both polycrystalline and multi-component, phase-field models are required that are capable of tracking an arbitrary number of chemical components, phases, and grains of each phase. Several phase-field models capable of simulating multi-phase, multi-grain materials have been developed in recent years [1][2][3][4][5][6][7][8], and others have also been developed that add the capability to simulate multiple chemical components [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Each of these models has various advantages and disadvantages relative to desirable model characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…[32] also showed that KKS-type models can be derived starting from the grand-potential functional. The grand-potential approach has been extended to multi-phase field models [16,[18][19][20][21][22][23][24][25]. (We refer to multi-phase field models as models that enforce the constraint that all phase field variables φ i sum to 1 at each point, and refer to multi-order parameter models as models where this requirement is not enforced.)…”

Section: Introductionmentioning

confidence: 99%

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Grand-potential-based phase-field model for multiple phases, grains, and chemical components

Aagesen¹,

Gao²,

Schwen³

et al. 2018

Phys. Rev. E

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Grand-potential-based phase-field model for multiple phases, grains, and chemical components is derived from a grand-potential functional. Due to the grand-potential formulation, the chemical energy does not contribute to the interfacial energy between phases, simplifying parametrization and decoupling interface thickness from interfacial energy, which can potentially allow increased interface thicknesses and therefore improved computational efficiency. Two-phase interfaces are stable with respect to the formation of additional phases, simplifying implementation and allowing the variational form of the evolution equations to be used. Additionally, we show that grand-potential-based phase-field models are capable of simulating phase separation, and we derive conditions under which this is possible.

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Microcantilever Fracture Tests on Eutectic NiAl–Cr(Mo) In Situ Composites

et al. 2021

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Lamellar eutectic NiAl–Cr(Mo) alloys show an increased fracture toughness due to different toughening mechanisms. These mechanisms result from the fibrous or lamellar microstructure of the two constituting phases α‐Cr(Mo) and β‐NiAl. However, the fracture toughness of the individual phases and the evolution from early crack growth to the toughening mechanisms have not yet been systematically studied. Herein, bending tests on focused ion beam (FIB)‐notched microcantilever beams are used to characterize the small‐scale fracture properties. The micromechanical investigations reveal that the fracture toughness of the α‐Cr(Mo) phase (7.5−9.1 MPam) is much higher than the fracture toughness of β‐NiAl (2.2−2.9 MPam). Larger cantilevers in the crack arresting orientation show an enhanced fracture toughness with up to 14.4 MPam, which is still lower than the one of macroscopic experiments. This is attributed to the small interaction volume of the crack, which hinders the full exploitation of potential extrinsic toughening mechanisms.

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Phase-field simulation of the microstructure evolution in the eutectic NiAl-34Cr system

Cited by 31 publications

References 38 publications

Pattern formation mechanism of directionally-solidified MoSi2/Mo5Si3 eutectic by phase-field simulation

Pattern formation mechanism of directionally-solidified MoSi2/Mo5Si3 eutectic by phase-field simulation

Grand-potential-based phase-field model for multiple phases, grains, and chemical components

Microcantilever Fracture Tests on Eutectic NiAl–Cr(Mo) In Situ Composites

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