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Book
Quantitative phase-field model for phase transformations in multi-component alloys
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ISBN: 1000034598 3731500205 Year: 2013 Publisher: KIT Scientific Publishing

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Abstract

Phase-field modeling has spread to a variety of applications involving phase transformations.While the method has wide applicability, derivation of quantitative predictions requires deeper understanding of the coupling between the system and model parameters. The book highlights a novel phase-field model based on a grand-potential formalism allowing for an elegant and efficient solution to problems in phase transformations.


Book
Fluid Flow and Heat Transfer in Cellular Solids
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ISBN: 1000042041 3731502410 Year: 2014 Publisher: KIT Scientific Publishing

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To determine the characteristics and properties of cellular solids for an application, and to allow a systematic practical use by means of correlations and modelling approaches, we perform experimental investigations and develop numerical methods. In view of coupled multi-physics simulations, we employ the phase-field method. Finally, the applicability is demonstrated exemplarily for open-cell metal foams, providing qualitative and quantitative comparison with experimental data.


Book
Massiv-parallele und großskalige Phasenfeldsimulationen zur Untersuchung der Mikrostrukturentwicklung
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ISBN: 1000071870 3731506939 Year: 2017 Publisher: KIT Scientific Publishing

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The development of tailored materials with defined properties requires a deep understanding of the microstructure evolution. In the first part, the microstructure evolution during the directional solidification of ternary eutectics with a highly optimized phase-field solver in the waLBerla-framework is studied. In the second part, the microstructure evolution under the influence of pores at the grain boundaries in the final sintering stage is analyzed with the PACE3D solver.


Book
Modellierung mehrkomponentiger Materialsysteme für die Phasenfeldmethode und Analyse der simulierten Mikrostrukturen
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ISBN: 1000122989 3731510448 Year: 2021 Publisher: Karlsruhe KIT Scientific Publishing

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In this work, the solidification process of the high-temperature materials NiAl-34Cr und Nb-Si is investigated with the phase-field method. This work includes an entire investigation chain from the modeling of the material systems to the conduction of representative phase-field simulations, and finally to the analyzation of the resulting microstructures.


Book
Chemomechanische Modellierung der Wärmebehandlung von Stählen mit der Phasenfeldmethode
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ISBN: 1000123341 3731510502 Year: 2021 Publisher: Karlsruhe KIT Scientific Publishing

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The development of high-strength steels can be accelerated using numerical methods. In particular, the phase-field method has emerged as a powerful tool to describe the microstructure evolution on the mesoscopic length scale. In the present work, multiphase-field models are presented to numerically display the morphological evolution during the heat treatment of steel.


Book
Mechanische und Strömungsmechanische Topologieoptimierung mit der Phasenfeldmethode
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ISBN: 1000049503 3731504316 Year: 2022 Publisher: Karlsruhe KIT Scientific Publishing

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In engineering work, the optimization of the microstructure of a material, of mechanically loaded components and of components influencing the flow behaviour is important. Understanding the behavior of flows in geological structures can be used to optimize the design of geothermal power plants. In this thesis, methods from continuum mechanics, fluid mechanics and the phase field method are presented for the optimization of such processes and examples of optimizations are shown.


Book
Study of an alternative phase field model for low interfacial energy in elastic solids
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Year: 2021 Publisher: Berlin Logos Verlag Berlin

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In 2005, the hybrid model was published by Prof. H.-D. Alber and Prof. P. Zhu as an alternative to the Allen-Cahn model for the description of phase field transformations. With low interfacial energy, it is more efficient, since the resolution of the diffuse interface is numerically broader for the same solution accuracy and allows coarser meshing. The solutions of both models are associated with energy minimisation and in this work the error terms introduced in the earlier publications are discussed and documented using one and two dimensional numerical simulations. In the last part of this book, phase field problems, initially not coupled with material equations, are combined with linear elasticity and, after simple introductory examples, a growing martensitic inclusion is simulated and compared with literature data. In addition to the confirmed numerical advantage, another phenomenon not previously described in the literature is found: with the hybrid model, in contrast to the examples calculated with the Allen-Cahn model, an inclusion driven mainly by curvature energy does not disappear completely. The opposite problem prevents inclusions from growing from very small initial configurations, but this fact can be remedied by a very finely chosen diffuse interface width and by analysing and adjusting the terms that generate the modelling errors. The last example shows that the hybrid model can be used with numerical advantages despite the above mentioned peculiarities.


Book
Fluid-structure interaction : modeling, adaptive discretizations and solvers
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ISBN: 311049258X Year: 2017 Publisher: Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter,

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This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. ContentsPart I: Modeling and discretizationOn the implementation and benchmarking of an extended ALE method for FSI problemsThe locally adapted parametric finite element method for interface problems on triangular meshesAn accurate Eulerian approach for fluid-structure interactions Part II: SolversNumerical methods for unsteady thermal fluid structure interactionRecent development of robust monolithic fluid-structure interaction solversA monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: ApplicationsFluid-structure interaction for vascular flows: From supercomputers to laptopsBinary-fluid-solid interaction based on the Navier-Stokes-Cahn-Hilliard EquationsCoupling fluid-structure interaction with phase-field fracture: Algorithmic details


Book
Phasenfeldmodellierung von Bruchbildungs-, Kristallisations- und Auflösungsvorgängen in hydrothermalen Umgebungen
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ISBN: 9783731512424 Year: 2022 Publisher: KIT Scientific Publishing

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Book
Phase-field Modeling of Phase Changes and Mechanical Stresses in Electrode Particles of Secondary Batteries
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Year: 2021 Publisher: Karlsruhe KIT Scientific Publishing

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Most storage materials exhibit phase changes, which cause stresses and, thus, lead to damage of the electrode particles. In this work, a phase-field model for the cathode material NaxFePO4 of Na-ion batteries is studied to understand phase changes and stress evolution. Furthermore, we study the particle size and SOC dependent miscibility gap of the nanoscale insertion materials. Finally, we introduce the nonlocal species concentration theory, and show how the nonlocality influences the results.

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