journal article·2016-01

Analytics for microstructure datasets produced by phase-field simulations

Philipp Steinmetz, Yuksel C. Yabansu, Johannes Hötzer, Marcus Jainta, Britta Nestler, Surya R. Kalidindi

Acta Materialia· Volume 103
Publisher page

Abstract

Abstract Phase-field simulations have become valuable tools in explorations of the effects of the processing parameters on the internal structure evolution of materials in a broad range of advanced materials. Simulations conducted on high performance computers have enabled the resolution of relatively large material volumes and have generated big datasets. Although such computations have captured faithfully the many features observed in the corresponding experiments, there has not yet been a broadly adopted framework to quantitatively analyze the predicted material structures and compare them rigorously with experiments. This paper demonstrates that the recently developed framework for the quantification of the material structure, based on the concepts of 2-point spatial correlations and principal component analyses (PCA), can address this critical need. It is further demonstrated that the adoption of a rigorous framework for structure quantification can help to establish objectively many of the modeling parameters and choices made in the simulations.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Solidification and crystal growth phenomena · Aluminum Alloy Microstructure Properties · Magnetic Properties and Applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (58)

Show source-provided references
1. Key computational modeling issues in integrated computational materials engineering10.1016/j.cad.2012.06.006 ↗
2. Data science and cyberinfrastructure: critical enablers for accelerated development of hierarchical materials10.1179/1743280414Y.0000000043 ↗
3. Origin of microstructure in the 332 K eutectic of the Bi–In–Sn system10.1179/mst.1997.13.1.5 ↗
4. Determination of the eutectic structure in the Ag–Cu–Sn system10.1007/s11664-002-0163-y ↗
5. Microstructures in a ternary eutectic alloy
6. Phase-field model of eutectic growth10.1103/PhysRevE.49.2245 ↗
7. Phase-field modeling of eutectic solidification10.1016/j.jcrysgro.2003.08.078 ↗
8. Multicomponent alloy solidification: phase-field modeling and simulations10.1103/PhysRevE.71.041609 ↗
9. Quantitative phase-field modeling of two-phase growth10.1103/PhysRevE.72.011602 ↗
10. A quantitative and thermodynamically consistent phase-field interpolation function for multi-phase systems10.1016/j.actamat.2010.10.038 ↗
11. Quantitative phase-field model for phase transformations in multi-component alloys
12. Lamellar pattern formation during 2d-directional solidification of ternary eutectic alloys
13. A diffuse interface model for alloys with multiple components and phases10.1137/S0036139902413143 ↗
14. Large scale phase-field simulations of directional ternary eutectic solidification10.1016/j.actamat.2015.03.051 ↗
15. Ternary eutectic dendrites: pattern formation and scaling properties10.1063/1.4917201 ↗
16. Lamellar and rod eutectic growth
17. Three-phase planar eutectic growth models for a ternary eutectic system10.2320/matertrans1989.40.665 ↗
18. Ripley · 1981
19. Microstructures of directionally solidified Al-Ag-Cu ternary eutectics10.1007/s12666-012-0172-3 ↗
20. New metallographic method for estimation of ordering and lattice parameter in ternary eutectic systems10.1007/s13632-013-0072-x ↗
21. Morphological characterization of the Al–Ag–Cu ternary eutectic10.3139/146.110652 ↗
22. Random heterogeneous materials: microstructure and macroscopic properties
23. Understanding and visualizing microstructure and microstructure variance as a stochastic process10.1016/j.actamat.2011.06.051 ↗
24. Solid mixture permittivities10.1063/1.1742339 ↗
25. Delineation of the space of 2-point correlations in a composite material system10.1016/j.actamat.2008.07.005 ↗
26. Microstructure sensitive design for performance optimization10.1016/j.pmatsci.2009.08.002 ↗
27. Phase-field crystal modeling and classical density functional theory of freezing10.1103/PhysRevB.75.064107 ↗
28. Multicomponent phase-field crystal model for structural transformations in metal alloys10.1103/PhysRevB.87.134105 ↗
29. Modeling structural transformations in binary alloys with phase field crystals10.1103/PhysRevB.84.064104 ↗
30. Three-phase solid oxide fuel cell anode microstructure realization using two-point correlation functions10.1016/j.actamat.2010.08.012 ↗
31. Stochastic reconstruction of sandstones10.1103/PhysRevE.62.893 ↗
32. The application of principal component analysis to materials science data10.2481/dsj.1.19 ↗
33. Predicting crystal structures with data mining of quantum calculations10.1103/PhysRevLett.91.135503 ↗
34. Microstructure informatics using higher-order statistics and efficient data-mining protocols10.1007/s11837-011-0057-7 ↗
35. A data-driven approach to establishing microstructure–property relationships in porous transport layers of polymer electrolyte fuel cells10.1016/j.jpowsour.2013.06.100 ↗
36. Novel microstructure quantification framework for databasing, visualization, and analysis of microstructure data
37. Kalidindi · 2015
38. Application of data science tools to quantify and distinguish between structures and models in molecular dynamics datasets10.1088/0957-4484/26/34/344006 ↗
39. Unified derivation of phase-field models for alloy solidification from a grand-potential functional10.1103/PhysRevE.84.031601 ↗
40. Phase-field formulation for quantitative modeling of alloy solidification10.1103/PhysRevLett.87.115701 ↗
41. Quantitative phase-field model of alloy solidification10.1103/PhysRevE.70.061604 ↗
42. The Ag–Al–Cu system: part I: reassessment of the constituent binaries on the basis of new experimental data
43. The Ag–Al–Cu system: part II: a thermodynamic evaluation of the ternary system10.1016/j.jallcom.2004.06.078 ↗
44. Structure–property linkages using a data science approach: application to a non-metallic inclusion/steel composite system10.1016/j.actamat.2015.02.045 ↗
45. Calibrated localization relationships for elastic response of polycrystalline aggregates10.1016/j.actamat.2014.08.022 ↗
46. A new framework for computationally efficient structure–structure evolution linkages to facilitate high-fidelity scale bridging in multi-scale materials models10.1016/j.actamat.2010.10.008 ↗
47. Optimized structure based representative volume element sets reflecting the ensemble-averaged 2-point statistics10.1016/j.actamat.2010.04.041 ↗
48. Representation and calibration of elastic localization kernels for a broad class of cubic polycrystals10.1016/j.actamat.2015.04.049 ↗
49. Microstructure reconstructions from 2-point statistics using phase-recovery algorithms10.1016/j.actamat.2007.10.044 ↗
50. N-body problems in statistical learning
51. Determination of the size of the representative volume element for random composites: statistical and numerical approach10.1016/S0020-7683(03)00143-4 ↗
52. Estimating the response of polycrystalline materials using sets of weighted statistical volume elements10.1016/j.actamat.2012.06.026 ↗
53. Statistical volume element method for predicting microstructure–constitutive property relations10.1016/j.cma.2008.01.008 ↗
54. Material spatial randomness: from statistical to representative volume element10.1016/j.probengmech.2005.07.007 ↗
55. On the construction of statistically similar representative volume elements based on the lineal-path function10.1002/pamm.201010192 ↗
56. Linking phase-field and finite-element modeling for process–structure–property relations of a Ni-base superalloy10.1016/j.actamat.2012.06.058 ↗
57. Estimating fatigue sensitivity to polycrystalline ni-base superalloy microstructures using a computational approach10.1111/j.1460-2695.2007.01159.x ↗
58. 2008