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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.

Zelluläre Materialien --- Tensorial-Mobility --- Lattice-Boltzmann --- Phase-Field --- Tensorielle MobilitätCellular Solids --- Phasenfeld

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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.

Mechanical engineering & materials --- Phasenfeldsimulationen --- Modellierung --- gerichtete Erstarrung --- Mikrostrukturanalyse --- Phase-field Simulation --- Modeling --- Directional Solidification --- Microstructure analysis

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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.

Mechanical engineering & materials --- Kontinuumsmechanik --- Strömungsmechanik --- Phasenfeldmethode --- Topologieoptimierung --- continuum mechanics --- fluid mechanics --- phase field method --- topology optimization

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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

Fluid-structure interaction --- Fluid-structure interaction. --- discretisations. --- modeling. --- multi-physics. --- phase-field models.

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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.

Mechanical engineering & materials --- Phasenfeldansatz --- Phasentrennung --- Nichtlokalität --- Endliche Verformungselastizität --- Sekundärbatterien --- Phase-field approach --- Phase segregation --- Nonlocality --- Finite deformation elasticity --- Secondary batteries --- Phasenfeldansatz --- Phasentrennung --- Nichtlokalität --- Endliche Verformungselastizität --- Sekundärbatterien --- Phase-field approach --- Phase segregation --- Nonlocality --- Finite deformation elasticity --- Secondary batteries