Multi-phase-field method for surface tension induced elasticity

Schiedung, Raphael; Steinbach, Ingo; Varnik, Fathollah

doi:10.1103/physrevb.97.035410

Cited by 10 publications

(9 citation statements)

References 36 publications

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“…To validate the implementation, the simulated solutions are compared with analytic solutions, which are represented by 𝜎 '$ and plotted as dashed lines. Assuming isotropic elasticity and a sharp pore-matrix interface, the analytic stress fields within the bulk regions are derived following the general procedure outlined in [76,77].…”

Section: Effect Of Interfacial Stress and Gas Pressurementioning

confidence: 99%

Microstructural-Level Fuel Performance Modeling of U-Mo Monolithic Fuel

Beeler

Cole

Kadambi

et al. 2021

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As the physics that governs the microstructural evolution of nuclear fuel span various time and spatial scales, to fully understand the fuel behavior inevitably involves atomic to mesoscale resolution that can be difficult to determine experimentally. Microstructural-level modeling and simulations can be used to develop physics-based materials models that can provide physical understanding to inform fabrication process control, as well as a valuable feedback mechanism between post-irradiation examination (PIE) results and fabrication parameters. In accordance with the program schedule, the primary goals of the microstructure modeling effort are to:1. Address critical microstructural questions and provide practical guidance to the fabricator via the fuel product specification 2. Provide mechanistic inputs for the existing fuel-performance code to improve its descriptive and predictive capability at the macroscopic scale.In fiscal year (FY)-21, the work scope consisted of six main facets: (1) the effect of carbides on fuel performance; (2) gas diffusivity in different phases; (3) integration of microstructural fuel-performance modeling; (4) property degradation; (5) irradiation creep; and (6) historical analysis of microstructure data. Brief summaries of each are included below.

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Section: Effect Of Interfacial Stress and Gas Pressurementioning

confidence: 99%

Microstructural-Level Fuel Performance Modeling of U-Mo Monolithic Fuel

Beeler

Cole

Kadambi

et al. 2021

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“…The standard approach to couple elasticity to the phase field dynamics is to add the interpolated (and hence phase field-dependent) elastic energy to the free energy density of the phase field defined in eq. (1), f tot = f (ρ)+f el (ρ) [27,[32][33][34][43][44][45]. Again performing the functional derivative, this results in…”

Section: Standard Elastic Phase Field Approachmentioning

confidence: 99%

Reversible elastic phase field approach and application to cell monolayers

2020

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Abstract. Motion and generation of forces by single cells and cell collectives are essential elements of many biological processes, including development, wound healing and cancer cell migration. Quantitative wound healing assays have demonstrated that cell monolayers can be both dynamic and elastic at the same time. However, it is very challenging to model this combination with conventional approaches. Here we introduce an elastic phase field approach that allows us to predict the dynamics of elastic sheets under the action of active stresses and localized forces, e.g. from leader cells. Our method ensures elastic reversibility after release of forces. We demonstrate its potential by studying several paradigmatic situations and geometries relevant for single cells and cell monolayers, including elastic bars, contractile discs and expanding monolayers with leader cells. Graphical abstract

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“…The phase-field method is a method for solving interfacial problems, and it has been applied to various kinds of problems such as solidification [16], graingrowth [17], surface or phase-boundary diffusion [18], and elastic deformation of solid bodies due to surface tension [19]. Here, we use the well-established multi-phase-field method which is summed up in two review articles [20,21].…”

Section: Modeling Of Solidsmentioning

confidence: 99%

Simulation of Capillary-Driven Kinetics with Multi-Phase-Field and Lattice-Boltzmann Method

Schiedung¹,

Tegeler²,

Medvedev³

et al. 2019

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We propose a combined computational approach based on the multi-phase-field and the lattice Boltzmann method for the motion of solid particles under the action of capillary forces. The accuracy of the method is analyzed by comparison with the analytic solutions for the force and motion of two parallel plates of finite extension connected by a capillary bridge. The method is then used to investigate the dynamics of multiple spherical solid bodies connected via capillary bridges. The amount of liquid connecting the spheres is varied, and the influence of the resulting liquid-morphology on their dynamics is investigated. It is shown that the method is suitable for a study of liquid-phase sintering which includes both phase transformation and capillary driven rigid body motion.

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Multi-phase-field method for surface tension induced elasticity

Cited by 10 publications

References 36 publications

Microstructural-Level Fuel Performance Modeling of U-Mo Monolithic Fuel

Microstructural-Level Fuel Performance Modeling of U-Mo Monolithic Fuel

Reversible elastic phase field approach and application to cell monolayers

Simulation of Capillary-Driven Kinetics with Multi-Phase-Field and Lattice-Boltzmann Method

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