An ICME Process Chain for Diffusion Brazing of Alloy 247

Böttger, B.; Altenfeld, Ralph; Laschet, Gottfried; Schmitz, Georg J.; Stöhr, Britta; Burbaum, B.

doi:10.1007/s40192-018-0111-1

Cited by 10 publications

(4 citation statements)

References 18 publications

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“…These are of high importance in multicomponent high-alloyed systems like Ni-base superalloys and describe partial dissipation of elastic energy by stress-driven diffusion, generally leading to a reduction of the stress levels. The applicability of MICRESS® for scale-bridging and for simulation of process chains in ICME contexts has been recently demonstrated [38]. For the simulations, a difference in molar volume was assumed between the and ′ phases, leading to a lattice parameter misfit of ≈ 0.17% , which is in good agreement with the experimentally determined value [37].…”

Section: Phase-field Simulation Of Microstructure Formationsupporting

confidence: 55%

“…Phase-field simulations of microstructure evolution in general are frequently employed for the description and optimization of the physical and mechanical material behavior at mesoscale [32]. With respect to the present context, we mention the successful simulation application to the solidification of Ni-base superalloys [33][34][35] as well as to microstructure evolution during heat treatment [36][37][38]. Phase-field simulations operate with explicit microstructures, based on a diffuse interface description.…”

Section: Introductionmentioning

confidence: 99%

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3D Minimum Channel Width Distribution in a Ni-Base Superalloy

Müller

Böttger

Schleifer

et al. 2023

Integr Mater Manuf Innov

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The strength of a Ni-base superalloy depends strongly on its microstructure consisting of cuboidal $${\gamma }^{^{\prime}}$$ γ ′ precipitates surrounded by narrow channels of $$\gamma $$ γ matrix. According to the theory of Orowan, a moving dislocation has to crimp through the minimal inter-precipitate spacing to admit the plastic deformation. We present a novel approach to evaluate the matrix channel width distribution of a matrix/$${\gamma }^{^{\prime}}$$ γ ′ microstructure in binary representation. Our method relies on precise determination of the matrix/precipitate interfaces and requires no additional user input. For each matrix channel between two neighboring precipitates, we identify the minimal interface to interface distance vector with its length being the channel width. The performance of this method is demonstrated on the example of the commercial alloy CSMX-4. We show that, in contrast to conventional line sectioning approaches, the approach consistently handles experimental 2D micrographs and 3D phase-field simulation data. The identified distance vectors correlate to the underlying crystal symmetry independent of the image orientation. The obtained channel width distributions compare well between the 2D and 3D data. This is in terms of similar median and $$\sigma $$ σ of a log-normal distribution. The presented method overcomes limitations of the conventional line slicing approaches and provides a versatile tool for automated microstructure characterization.

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Section: Phase-field Simulation Of Microstructure Formationsupporting

confidence: 55%

Section: Introductionmentioning

confidence: 99%

3D Minimum Channel Width Distribution in a Ni-Base Superalloy

Müller

Böttger

Schleifer

et al. 2023

Integr Mater Manuf Innov

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“…The second simulation step was performed using the results of the first simulation as initial microstructure. Reading of the structure was achieved without information loss by a technique using the restart output (.rest) of the former simulation [21,22]. The initial microstructure was shifted in negative z-direction according to the thickness of 40 µm of the new layer.…”

Section: Model Parameters and Datamentioning

confidence: 99%

Phase-field simulation of the formation of new grains by fragmentation during melting of an ABD900 superalloy

Böttger

Apel

2023

IOP Conf. Ser.: Mater. Sci. Eng.

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Laser powder bed fusion (L-PBF) is an additive manufacturing method which involves local laser melting of powder particles, a partial remelting of previously deposited layers, and subsequent re-solidification under high thermal gradients and cooling rates. The transition between melting and re-solidification becomes visible as melt pool boundaries in optical micrographs and plays a crucial role: Apart from creating a strong segregation zone, the transition determines whether the microstructure is inherited and carried over to the next layer, or whether new grains with new orientations are formed. While heterogeneous nucleation is suppressed due to the lack of seeding particles at the small length scales inherent to L-PBF, alternatively, new grains can form via dendrite fragmentation, as demonstrated in this paper by phase-field simulations using the software MICRESS®. By strong coupling between the phase-field equation and a thermal 1D-cylinder approach for the long-range temperature field, consistency between latent heat and microstructure is ensured. To allow for a systematic variation of the orientation relationship between the dendrite growth direction and the respective temperature gradient, a two-step simulation procedure for two overlapping tracks with variable gradient directions is developed. Growth conditions which promote fragmentation and formation of new grains are analyzed and discussed.

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“…Leon et al [33] used subset selection and active subspace techniques to identify dominant parameters in a continuum phase-field poly-domain model for ferroelectric materials. These earlier approaches focused on UQ/UP over a single modeling framework, but Böttger [34] recently demonstrated the propagation of uncertainty across an entire ICME-based model chain. Across different fields [35], UP is practically implemented through many different approaches, including Monte-Carlo-, local expansion-,functional expansion-, and numerical integrationbased methods.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty propagation in a multiscale CALPHAD-reinforced elastochemical phase-field model

et al. 2020

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ICME approaches provide decision support for materials design by establishing quantitative process-structure-property relations. Confidence in the decision support, however, must be achieved by establishing uncertainty bounds in ICME model chains. The quantification and propagation of uncertainty in computational materials science, however, remains a rather unexplored aspect of computational materials science approaches. Moreover, traditional uncertainty propagation frameworks tend to be limited in cases with computationally expensive simulations. A rather common and important model chain is that of CALPHAD-based thermodynamic models of phase stability coupled to phase field models for microstructure evolution. Propagation of uncertainty in these cases is challenging not only due to the sheer computational cost of the simulations but also because of the high dimensionality of the input space. In this work, we present a framework for the quantification and propagation of uncertainty in a CALPHADbased elasto-chemical phase field model. We motivate our work by investigating the microstructure evolution in Mg 2 (Si x Sn 1−x ) thermoelectric materials. We first carry out a Markov Chain Monte Carlo-based inference of the CALPHAD model parameters for this pseudobinary system and then use advanced sampling schemes to propagate uncertainties across a high-dimensional simulation input space. Through high-throughput phase field simulations we generate 200,000 time series of synthetic microstructures and use machine learning approaches to understand the effects of propagated uncertainties on the microstructure landscape of the system under study. The microstructure dataset has been curated in the Open Phase-field Microstructure Database (OPMD), available at http://microstructures.net.

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An ICME Process Chain for Diffusion Brazing of Alloy 247

Cited by 10 publications

References 18 publications

3D Minimum Channel Width Distribution in a Ni-Base Superalloy

3D Minimum Channel Width Distribution in a Ni-Base Superalloy

Phase-field simulation of the formation of new grains by fragmentation during melting of an ABD900 superalloy

Uncertainty propagation in a multiscale CALPHAD-reinforced elastochemical phase-field model

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