Relevant bibliographies by topics / Phase field modeling

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Phase field modeling'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 January 2023

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Journal articles on the topic "Phase field modeling"

1

Nestler, Britta, and Adam A. Wheeler. "Phase-field modeling of multi-phase solidification." Computer Physics Communications 147, no. 1-2 (August 2002): 230–33. http://dx.doi.org/10.1016/s0010-4655(02)00252-7.

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Vignal, Philippe A., Nathan Collier, and V. M. Calo. "Phase Field Modeling Using PetIGA." Procedia Computer Science 18 (2013): 1614–23. http://dx.doi.org/10.1016/j.procs.2013.05.329.

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Qin, R. S., and H. K. D. H. Bhadeshia. "Applications of phase field modeling." Current Opinion in Solid State and Materials Science 15, no. 3 (June 2011): 81–82. http://dx.doi.org/10.1016/j.cossms.2011.04.004.

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TAKAKI, Tomohiro, and Yoshihiro TOMITA. "610 Phase-Field Modeling during Dynamic Recrystallization." Proceedings of Conference of Kansai Branch 2007.82 (2007): _6–10_. http://dx.doi.org/10.1299/jsmekansai.2007.82._6-10_.

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Drolet, François, K. R. Elder, Martin Grant, and J. M. Kosterlitz. "Phase-field modeling of eutectic growth." Physical Review E 61, no. 6 (June 1, 2000): 6705–20. http://dx.doi.org/10.1103/physreve.61.6705.

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Spatschek, Robert, Efim Brener, and Alain Karma. "Phase field modeling of crack propagation." Philosophical Magazine 91, no. 1 (January 2011): 75–95. http://dx.doi.org/10.1080/14786431003773015.

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Pusztai, T., G. Bortel, and L. Gránásy. "Phase field modeling of polycrystalline freezing." Materials Science and Engineering: A 413-414 (December 2005): 412–17. http://dx.doi.org/10.1016/j.msea.2005.09.057.

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Shibuta, Yasushi, Yoshinao Okajima, and Toshio Suzuki. "Phase-field modeling for electrodeposition process." Science and Technology of Advanced Materials 8, no. 6 (January 2007): 511–18. http://dx.doi.org/10.1016/j.stam.2007.08.001.

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Wilson, Zachary A., and Chad M. Landis. "Phase-field modeling of hydraulic fracture." Journal of the Mechanics and Physics of Solids 96 (November 2016): 264–90. http://dx.doi.org/10.1016/j.jmps.2016.07.019.

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ZHANG, Yutuo, Chengzhi WANG, Dianzhong LI, and Yiyi LI. "Phase field modeling of dendrite growth." Acta Metallurgica Sinica (English Letters) 22, no. 3 (June 2009): 197–201. http://dx.doi.org/10.1016/s1006-7191(08)60089-7.

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Dissertations / Theses on the topic "Phase field modeling"

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Li, Yichen. "Phase-field Modeling of Phase Change Phenomena." Thesis, Virginia Tech, 2020. http://hdl.handle.net/10919/99148.

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The phase-field method has become a popular numerical tool for moving boundary problems in recent years. In this method, the interface is intrinsically diffuse and stores a mixing energy that is equivalent to surface tension. The major advantage of this method is its energy formulation which makes it easy to incorporate different physics. Meanwhile, the energy decay property can be used to guide the design of energy stable numerical schemes. In this dissertation, we investigate the application of the Allen-Cahn model, a member of the phase-field family, in the simulation of phase change problems. Because phase change is usually accompanied with latent heat, heat transfer also needs to be considered. Firstly, we go through different theoretical aspects of the Allen-Cahn model for nonconserved interfacial dynamics. We derive the equilibrium interface profile and the connection between surface tension and mixing energy. We also discuss the well-known convex splitting algorithm, which is linear and unconditionally energy stable. Secondly, by modifying the free energy functional, we give the Allen-Cahn model for isothermal phase transformation. In particular, we explain how the Gibbs-Thomson effect and the kinetic effect are recovered. Thirdly, we couple the Allen-Chan and heat transfer equations in a way that the whole system has the energy decay property. We also propose a convex-splitting-based numerical scheme that satisfies a similar discrete energy law. The equations are solved by a finite-element method using the deal.ii library. Finally, we present numerical results on the evolution of a liquid drop in isothermal and non-isothermal settings. The numerical results agree well with theoretical analysis.
Master of Science
Phase change phenomena, such as freezing and melting, are ubiquitous in our everyday life. Mathematically, this is a moving boundary problem where the phase front evolves based on the local temperature. The phase change is usually accompanied with the release or absorption of latent heat, which in turn affects the temperature. In this work, we develop a phase-field model, where the phase front is treated as a diffuse interface, to simulate the liquid-solid transition. This model is consistent with the second law of thermodynamics. Our finite-element simulations successfully capture the solidification and melting processes including the interesting phenomenon of recalescence.
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Loginova, Irina. "Phase-field modeling of diffusion controlled phase transformations." Doctoral thesis, KTH, Mechanics, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3626.

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Diffusion controlled phase transformations are studied bymeans of the phase-field method. Morphological evolution ofdendrites, grains and Widmanst\"atten plates is modeled andsimulated.

Growth of dendrites into highly supersaturated liquids ismodeled for binary alloy solidification. Phase-field equationsthat involve both temperature and solute redistribution areformulated. It is demonstrated that while at low undercoolingheat diffusion does not affect the growth of dendrites, i.e.solidification is nearly isothermal, at high cooling rates thesupersaturation is replaced by the thermal undercooling as thedriving force for growth.

In experiments many crystals with different orientationsnucleate. The growth of randomly oriented dendrites, theirsubsequent impingement ant formation of grain boundaries arestudied in two dimensions using the FEM on adaptive grids.

The structure of dendrites is determined by growthconditions and physical parameters of the solidifying material.Effects of the undercooling and anisotropic surface energy onthe crystal morphology are investigated. Transition betweenseaweeds, doublons and dendrites solidifying out of puresubstance is studied and compared to experimental data. Two-and three-dimensional simulations are performed in parallel onadaptive and uniform meshes.

A phase-field method based on the Gibbs energy functional isformulated for ferrite to austenite phase transformation inFe-C. In combination with the solute drag model, transitionbetween diffusion controlled and massive transformations as afunction of C concentration and temperature is established byperforming a large number of one dimensional calculations withreal physical parameters. In two dimensions, growth ofWidmanstaetten plates is governed by the highly anisotropicsurface energy. It is found that the plate tip can beapproximated as sharp, in agreement with experiments.

Keywords:heat and solute diffusion, solidification,solid-solid phase transformation, microstructure, crystalgrowth, dendrite, grain boundary, Widmanstaetten plate,phase-field, adaptive mesh generation, FEM.

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Abdollahi, Amir. "Phase-field modeling of fracture in ferroelectric materials." Doctoral thesis, Universitat Politècnica de Catalunya, 2012. http://hdl.handle.net/10803/285833.

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The unique electro-mechanical coupling properties of ferroelectrics make them ideal materials for use in micro-devices as sensors, actuators and transducers. Nevertheless, because of the intrinsic brittleness of ferroelectrics, the optimal design of the electro-mechanical devices is strongly dependent on the understanding of the fracture behavior in these materials. Fracture processes in ferroelectrics are notoriously complex, mostly due to the interactions between the crack tip stress and electric fields and the localized switching phenomena in this zone (formation and evolution of domains of different crystallographic variants). Phase-field models are particularly interesting for such a complex problem, since a single partial differential equation governing the phase-field accomplishes at once (1) the tracking of the interfaces in a smeared way (cracks, domain walls) and (2) the modeling of the interfacial phenomena such as domain-wall energies or crack face boundary conditions. Such a model has no difficulty for instance in describing the nucleation of domains and cracks or the branching and merging of cracks. Furthermore, the variational nature of these models makes the coupling of multiple physics (electrical and mechanical fields in this case) very natural. The main contribution of this thesis is to propose a phase-field model for the coupled simulation of the microstructure formation and evolution, and the nucleation and propagation of cracks in single crystal ferroelectric materials. The model naturally couples two existing energetic phase-field approaches for brittle fracture and ferroelectric domain formation and evolution. The finite element implementation of the theory is described. Simulations show the interactions between the microstructure and the crack under mechanical and electro-mechanical loadings. Another objective of this thesis is to encode different crack face boundary conditions into the phase-field framework since these conditions strongly affect the fracture behavior of ferroelectrics. The smeared imposition of these conditions are discussed and the results are compared with that of sharp crack models to validate the proposed approaches. Simulations show the effects of different conditions, electro-mechanical loadings and media filling the crack gap on the crack propagation and the microstructure of the material. In a third step, the coupled model is modified by introducing a crack non-interpenetration condition in the variational approach to fracture accounting for the asymmetric behavior in tension and compression. The modified model makes it possible to explain anisotropic crack growth in ferroelectrics under Vickers indentation loading. This model is also employed for the fracture analysis of multilayer ferroelectric actuators, which shows the potential of the model for future application. The coupled phase-field model is also extended to polycrystals by introducing realistic polycrystalline microstructures in the model. Inter- and trans-granular crack propagation modes are observed in the simulations. Finally and for completeness, the phase-field theory is extended for the simulation of conducting cracks and some preliminary simulations are also performed in three dimensions. Salient features of the crack propagation phenomenon predicted by the simulations of this thesis are directly compared with experimental observations.
Los materiales ferroeléctricos poseen únicas propiedades electro-mecánicas y por eso se utilizan para los micro-dispositivos como sensores, actuadores y transductores. No obstante, debido a la fragilidad intrínseca de los ferroeléctricos, el diseño óptimo de los dispositivos electro-mecánicos es altamente dependiente de la comprensión del comportamiento de fractura en estos materiales. Los procesos de fractura en ferroeléctricos son notoriamente complejos, sobre todo debido a las interacciones entre campos de tensión y eléctricos y los fenómenos localizados en zona de fractura (formación y evolución de los dominios de las diferentes variantes cristalográficas). Los modelos de campo de fase son particularmente útiles para un problema tan complejo, ya que una sola ecuación diferencial parcial que gobierna el campo de fase lleva a cabo a la vez (1) el seguimiento de las interfaces de una manera suave (grietas, paredes de dominio) y (2) la modelización de los fenómenos interfaciales como las energías de la pared de dominio o las condiciones de las caras de grieta. Tal modelo no tiene ninguna dificultad, por ejemplo en la descripción de la nucleación de los dominios y las grietas o la ramificación y la fusión de las grietas. Además, la naturaleza variacional de estos modelos facilita el acoplamiento de múltiples físicas (campos eléctricos y mecánicos en este caso). La principal aportación de esta tesis es la propuesta de un modelo campo de fase para la simulación de la formación y evolución de la microestructura y la nucleación y propagación de grietas en materiales ferroeléctricos. El modelo aúna dos modelos de campo de fase para la fractura frágil y para la formación de dominios ferroeléctricos. La aplicación de elementos finitos a la teoría es descrita. Las simulaciones muestran las interacciones entre la microestructura y la fractura del bajo cargas mecánicas y electro-mecánicas. Otro de los objetivos de esta tesis es la codificación de diferentes condiciones de contorno de grieta porque estas condiciones afectan en gran medida el comportamiento de la fractura de ferroeléctricos. La imposición de estas condiciones se discuten y se comparan con los resultados de modelos clasicos para validar los modelos propuestos. Las simulaciones muestran los efectos de diferentes condiciones, cargas electro-mecánicas y medios que llena el hueco de la grieta en la propagación de las fisuras y la microestructura del material. En un tercer paso, el modelo se modifica mediante la introducción de una condición que representa el comportamiento asimétrico en tensión y compresión. El modelo modificado hace posible explicar el crecimiento de la grieta anisotrópica en ferroeléctricos. Este modelo también se utiliza para el análisis de la fractura de los actuadores ferroeléctricos, lo que demuestra el potencial del modelo para su futura aplicación. El modelo se extiende también a policristales mediante la introducción de microestructuras policristalinas realistas en el modelo. Modos de fractura inter y trans-granulares de propagación se observan en las simulaciones. Por último y para completar, la teoría del campo de fase se extiende para la simulación de las grietas conductivas y algunas simulaciones preliminares también se realizan en tres dimensiones. Principales características del fenómeno de la propagación de la grieta predicho por las simulaciones de esta tesis se comparan directamente con las observaciones experimentales.
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Asp, Grönhagen Klara. "Phase-field modeling of surface-energy driven processes." Doctoral thesis, KTH, Metallografi, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-11036.

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Surface energy plays a major role in many phenomena that are important in technological and industrial processes, for example in wetting, grain growth and sintering. In this thesis, such surface-energy driven processes are studied by means of the phase-field method. The phase-field method is often used to model mesoscale microstructural evolution in materials. It is a diffuse interface method, i.e., it considers the surface or phase boundary between two bulk phases to have a non-zero width with a gradual variation in physical properties such as energy density, composition and crystalline structure. Neck formation and coarsening are two important diffusion-controlled features in solid-state sintering and are studied using our multiphase phase-field method. Inclusion of Navier-Stokes equation with surface-tension forces and convective phase-field equations into the model, enables simulation of reactive wetting and liquid-phase sintering. Analysis of a spreading liquid on a surface is investigated and is shown to follow the dynamics of a known hydrodynamic theory. Analysis of important capillary phenomena with wetting and motion of two particles connected by a liquid bridge are studied in view of important parameters such as contact angles and volume ratios between the liquid and solid particles. The interaction between solute atoms and migrating grain boundaries affects the rate of recrystallization and grain growth. The phenomena is studied using a phase-field method with a concentration dependent double-well potential over the phase boundary. We will show that with a simple phase-field model it is possible to model the dynamics of grain-boundary segregation to a stationary boundary as well as solute drag on a moving boundary. Another important issue in phase-field modeling has been to develop an effective coupling of the phase-field and CALPHAD methods. Such coulping makes use of CALPHAD's thermodynamic information with Gibbs energy function in the phase-field method. With the appropriate thermodynamic and kinetic information from CALPHAD databases, the phase-field method can predict mictrostructural evolution in multicomponent multiphase alloys. A phase-field model coupled with a TQ-interface available from Thermo-Calc is developed to study spinodal decomposition in FeCr, FeCrNi and TiC-ZrC alloys.
QC 20100622
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Bush, Joshua. "Phase Field Modeling of Thermotransport in Multicomponent Systems." Master's thesis, University of Central Florida, 2012. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5152.

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Nuclear and gas turbine power plants, computer chips, and other devices and industries are running hotter than ever for longer than ever. With no apparent end to the trend, the potential arises for a phenomenon known as thermotransport to cause undesirable changes in these high temperature materials. The diffuse-interface method known as the phase-field model is a useful tool in the simulation and prediction of thermotransport driven microstructure evolution in materials. The objective of this work is to develop a phase-field model using practical and empirical properties of thermodynamics and kinetics for simulating the interdiffusion behavior and microstructural evolution of single and multiphase binary alloy system under composition and/or temperature gradients. Simulations are carried out using thermodynamics and kinetics of real systems, such as the U-Zr solid metallic fuel, with emphasis on the temperature dependencies of the kinetics governing diffusional interactions in single-phase systems and microstructural evolution in the presence of multiple driving forces in multi-phase systems. A phase field model is developed describing thermotransport in the γ phase of the U-Zr alloy, a candidate for advanced metallic nuclear fuels. The model is derived using thermodynamics extracted from the CALPHAD database and temperature dependent kinetic parameters associated with thermotransport from the literature. Emphasis is placed upon the importance of the heat of transport, Q*, and atomic mobility, β. Temperature dependencies of each term are estimated from empirical data obtained directly from the literature, coupled with the textbook phenomenological formulae of each parameter. A solution is obtained via a finite volume approach with the aid of the FiPy® partial differential equation solver. Results of the simulations are described based on individual flux contributions from the gradients of both composition and temperature, and are found to be remarkably similar to experimental results from the literature. In an additional effort the thermotransport behavior of a binary two-phase alloy is modeled, for the first time, via the phase-field method for a two-phase (γ + β) U-Zr system. The model is similarly built upon CALPHAD thermodynamics describing the γ and β phases of the U-Zr system and thermotransport parameters for the γ phase from literature. A parametric investigation of how the heats of transport for U and Zr in the β phase affect the redistribution is performed, and the interplay between system kinetics and thermodynamics are examined. Importantly, a strict control over the microstructure that is placed into the temperature gradient (at t=0) is used to eliminate the randomness associated with microstructural evolution from an initially unstable state, allowing an examination of exactly how the β phase thermotransport parameters affect the redistribution behavior of the system. Results are compared to a control scenario in which the system evolves only in the presence of thermodynamic driving forces, and the kinetic parameters that are associated with thermotransport are negligible. In contrast to the single-phase simulations, in the presence of a large thermodynamic drive for phase transformation and stability, the constituent redistribution caused by the thermotransport effect is comparatively smaller.
ID: 031001396; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Title from PDF title page (viewed June 3, 2013).; Thesis (M.S.M.S.E.)--University of Central Florida, 2012.; Includes bibliographical references (p. 50-53).
M.S.M.S.E.
Masters
Materials Science Engineering
Engineering and Computer Science
Materials Science and Engineering
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Asp, Grönhagen Klara. "Phase-field modeling of surface-energy driven processes." Stockholm : Materialvetenskap, Kungliga Tekniska högskolan, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-11036.

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Ullbrand, Jennifer. "Phase field modeling of Spinodal decomposition in TiAlN." Licentiate thesis, Linköpings universitet, Nanostrukturerade material, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-79611.

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TiAlN  thin  films  are  used  commercially  in  the  cutting  tool  industry  as  wear protection  of  the  inserts.  During  cutting,  the  inserts  are  subjected  to  high temperatures (~ 900  ° C and sometimes higher). The  objective of this work is to simulate the material behavior at such high temperatures. TiAlN has been studied experimentally at least for two decades, but no microstructure simulations have so far been performed. In this thesis two models are presented, one based on regular solution and one that takes into account clustering effects on the thermodynamic data.  Both  models  include  anisotropic  elasticity  and  lattice  parameters  deviation from  Vegard’s  law.  The  input  parameters  used  in  the  simulations  are ab  initio calculations and experimental data.Methods for extracting diffusivities and activation energies as well as Young’s modulus  from  phase  field  results  are  presented.  Specifically,  strains,  von  Mises stresses,  energies,  and  microstructure  evolution  have  been  studied  during  the spinodal  decomposition of  TiAlN. It  has  been  found  that  strains  and  stresses  are generated during the decomposition i.e. von Mises stresses ranging between 5 and 7.5  GPa  are  typically  seen.  The  stresses  give  rise  to  a  strongly  composition dependent  elastic  energy  that  together  with  the  composition  dependent  gradient energy   determine   the   decomposed   microstructure.   Hence,   the   evolving microstructure depends strongly on the global composition. Morphologies ranging from isotropic, round domains to entangled outstretched domains can be achievedby  changing  the  Al  content.  Moreover,  the  compositional  wavelength  of  the evolved  domains  during  decomposition  is  also  composition  dependent  and  it decreases with  increasing  Al  content.  Comparing  the  compositional  wavelength evolution extracted from simulations and small angle X-ray scattering experiments show that the decomposition of TiAlN occurs in two stages; first an initial stage of constant  wavelength and  then  a  second  stage  with  an  increasing  wavelength are observed.  This  finding  is  characteristic  for  spinodal  decomposition  and  offers conclusive evidence that an ordering transformation occurs. The Young’s modulus evolution  for  Ti 0.33 Al 0.67 N  shows  an  increase  of  5%  to  ~398  GPa  during  the simulated decomposition.
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Winkler, Benjamin [Verfasser], and Falko [Akademischer Betreuer] Ziebert. "Modeling crawling cellular motility with a phase field approach." Freiburg : Universität, 2019. http://d-nb.info/1193423104/34.

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Shen, Chen. "The fundamentals and applications of phase field method in quantitative microstructural modeling." Columbus, Ohio : Ohio State University, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1080249965.

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Thesis (Ph. D.)--Ohio State University, 2004.
Title from first page of PDF file. Document formatted into pages; contains xx, 217 p.; also includes graphics (some col.). Includes abstract and vita. Advisor: Yunzhi Wang, Dept. of Materials Science and Engineering. Includes bibliographical references (p. 209-217).
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Omatuku, Emmanuel Ngongo. "Phase field modeling of dynamic brittle fracture at finite strains." Master's thesis, Faculty of Engineering and the Built Environment, 2019. http://hdl.handle.net/11427/30172.

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Fracture is the total or partial separation of an initially intact body through the propagation of one or several cracks. Computational methods for fracture mechanics are becoming increasingly important in dealing with the nucleation and propagation of these cracks. One method is the phase field approach, which approximates sharp crack discontinuities with a continuous scalar field, the so-called phase field. The latter represents the smooth transition between the intact and broken material phases. The evolution of the phase field due to external loads describes the fracture process. An original length scale is used to govern the diffusive approximation of sharp cracks. This method further employs a degradation function to account for the loss of the material stiffness during fracture by linking the phase field to the body’s bulk energy. To prevent the development of unrealistic crack patterns and interpenetration of crack faces under compression, this study uses the anisotropic split of the bulk energy, as proposed by Amor et al. [5], to model the different fracture behavior in tension, shear and compression. This research is part of a larger project aimed at the modeling of Antarctic sea ice dynamics. One aspect of this project is the modeling of the gradual break-up of the consolidated ice during spring. As a first step, this study reviews a phase field model used for dynamic brittle fracture at finite strains. Subsequently, this model is implemented into the in-house finite element software SESKA to solve the benchmark tension and shear tests on a single-edge notched block. The implementation adopts the so-called monolithic scheme, which computes the displacement and phase field solutions simultaneously, with a Newmark time integration scheme. The results of the solved problems demonstrate the capabilities of the implemented dynamic phase field model to capture the nucleation and propagation of cracks. They further confirm that the choice of length-scale and mesh size influences the solutions. In this regard, a small value of the length-scale converges to the sharp crack topology and yields a larger stress value. On the other hand, a large length-scale parameter combined with a too coarse mesh size can yield unrealistic results.
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Books on the topic "Phase field modeling"

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Biner, S. Bulent. Programming Phase-Field Modeling. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5.

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Mazo, Aleksandr, and Konstantin Potashev. The superelements. Modeling of oil fields development. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1043236.

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This monograph presents the basics of super-element modeling method of two-phase fluid flows occurring during the development of oil reservoir. The simulation is performed in two stages to reduce the spatial and temporal scales of the studied processes. In the first stage of modeling of development of oil deposits built long-term (for decades) the model of the global dynamics of the flooding on the super-element computational grid with a step equal to the average distance between wells (200-500 m). Local filtration flow, caused by the action of geological and technical methods of stimulation, are modeled in the second stage using a special mathematical models using computational grids with high resolution detail for the space of from 0.1 to 10 m and time — from 102 to 105 C. The results of application of the presented models to the solution of practical tasks of development of oil reservoir. Special attention is paid to the issue of value transfer in filtration-capacitive properties of the reservoir, with a detailed grid of the geological model on the larger grid reservoir models. Designed for professionals in the field of mathematical and numerical modeling of fluid flows occurring during the development of oil fields and using traditional commercial software packages, as well as developing their own software. May be of interest to undergraduate and graduate students studying in areas such as "Mechanics and mathematical modeling", "Applied mathematics", "Oil and gas".
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Kozma, Robert, and Walter J. Freeman. Cognitive Phase Transitions in the Cerebral Cortex - Enhancing the Neuron Doctrine by Modeling Neural Fields. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24406-8.

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Nudo, Raffaele, ed. Lezioni dai terremoti: fonti di vulnerabilità, nuove strategie progettuali, sviluppi normativi. Florence: Firenze University Press, 2012. http://dx.doi.org/10.36253/978-88-6655-072-3.

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This book is a collection of the academic contributions presented at the conference entitled "Lessons from earthquakes: sources of vulnerability, new design strategies and regulatory developments" which was held at Chianciano Terme on 8 October 2010. The issues addressed are central to Seismic Engineering and comprise a wide range of arguments on both consolidated subjects and innovative aspects in the sector. Among these, appropriate attention is devoted to: analysis of the structural instability revealed on the occasion of seismic events and the lessons that can be drawn from the same; the procedures of assessment of the existing buildings, starting from the phase of monitoring and diagnostics through to the definition of the most opportune intervention techniques; the use of composite materials and alternative methods of seismic protection; non-linear field modelling relating to regular and non-regular structures; and finally, the development of the methods of calculation that have characterised the evolution of the regulatory codes.
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Biner, S. Bulent. Programming Phase-Field Modeling. Springer, 2017.

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Biner, S. Bulent. Programming Phase-Field Modeling. Springer, 2018.

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Biner, S. Bulent. Programming Phase-Field Modeling. Springer London, Limited, 2016.

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Wick, Thomas. Multiphysics Phase-Field Fracture: Modeling, Adaptive Discretizations, and Solvers. de Gruyter GmbH, Walter, 2020.

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Zhang, Tao. Phase-field Modeling of Phase Changes and Mechanical Stresses in Electrode Particles of Secondary Batteries. KIT Scientific Publishing, 2021.

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Provatas, Nikolas, Tatu Pinomaa, and Nana Ofori-Opoku. Quantitative Phase Field Modelling of Solidification. Taylor & Francis Group, 2021.

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Book chapters on the topic "Phase field modeling"

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Karma, Alain. "Phase-Field Modeling." In Handbook of Materials Modeling, 2087–103. Dordrecht: Springer Netherlands, 2005. http://dx.doi.org/10.1007/1-4020-3286-2_108.

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Karma, Alain. "Phase-Field Modeling." In Handbook of Materials Modeling, 2087–103. Dordrecht: Springer Netherlands, 2005. http://dx.doi.org/10.1007/978-1-4020-3286-8_108.

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Biner, S. Bulent. "An Overview of the Phase-Field Method and Its Formalisms." In Programming Phase-Field Modeling, 1–7. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_1.

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Biner, S. Bulent. "Introduction to Numerical Solution of Partial Differential Equations." In Programming Phase-Field Modeling, 9–11. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_2.

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Biner, S. Bulent. "Preliminaries About the Codes." In Programming Phase-Field Modeling, 13–15. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_3.

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Biner, S. Bulent. "Solving Phase-Field Models with Finite Difference Algorithms." In Programming Phase-Field Modeling, 17–97. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_4.

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Biner, S. Bulent. "Solving Phase-Field Models with Fourier Spectral Methods." In Programming Phase-Field Modeling, 99–168. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_5.

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Biner, S. Bulent. "Solving Phase-Field Equations with Finite Elements." In Programming Phase-Field Modeling, 169–336. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_6.

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Biner, S. Bulent. "Phase-Field Crystal Modeling of Material Behavior." In Programming Phase-Field Modeling, 337–68. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_7.

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Biner, S. Bulent. "Concluding Remarks." In Programming Phase-Field Modeling, 369. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-41196-5_8.

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Conference papers on the topic "Phase field modeling"

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Sekerka, Robert F. "Phase Field Modeling of Crystal Growth Morphology." In PERSPECTIVES ON INORGANIC, ORGANIC, AND BIOLOGICAL CRYSTAL GROWTH: FROM FUNDAMENTALS TO APPLICATIONS: Basedon the lectures presented at the 13th International Summer School on Crystal Growth. AIP, 2007. http://dx.doi.org/10.1063/1.2751915.

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Vizoso, Daniel, Chaitanya Deo, and Remi Dingreville. "Phase Field Modeling of Radiation-Induced Segregation." In Proposed for presentation at the Sandia Academic Alliance Spring 2021 Georgia Tech LDRD Virtual Poster Session held March 23, 2021 in Albuquerque, NM. US DOE, 2021. http://dx.doi.org/10.2172/1856469.

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Mallick, Ashis, Srikanth Vedantam, Joaquín Marro, Pedro L. Garrido, and Pablo I. Hurtado. "Phase field simulation of polycrystalline grain growth in presence of mobile second phase particles." In MODELING AND SIMULATION OF NEW MATERIALS: Proceedings of Modeling and Simulation of New Materials: Tenth Granada Lectures. AIP, 2009. http://dx.doi.org/10.1063/1.3082292.

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Xiang, Xiao, Michael Kudenov, Michael Escuti, and Kathryn J. Hornburg. "Optimization of aspheric geometric-phase lenses for improved field-of-view." In Optical Modeling and Performance Predictions X, edited by Marie B. Levine-West and Mark A. Kahan. SPIE, 2018. http://dx.doi.org/10.1117/12.2322326.

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Vedantam, S., A. Mallick, Joaquín Marro, Pedro L. Garrido, and Pablo I. Hurtado. "Phase field simulation of grain growth in presence of mobile second phase particles: A bi-crystal model." In MODELING AND SIMULATION OF NEW MATERIALS: Proceedings of Modeling and Simulation of New Materials: Tenth Granada Lectures. AIP, 2009. http://dx.doi.org/10.1063/1.3082320.

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Su, Yu. "Phase Field Modeling for Domain Characterization of Ferroelectric Materials." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-40863.

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In this study we adopted a recently developed continuum mechanics-based non-equilibrium thermodynamics framework to investigate domain wall evolutions and interactions within ferroelectric materials. Furthermore, based on such framework, a finite element computing program is implemented to investigate the domain patterns of polarization within low dimensional ferroelectric nanostructures. It is observed from the computational results that the distribution of polarization in low-dimensional ferroelectric nanostructures appears to form vortex structures under open-circuit boundary conditions. The domain characterizations and the minimum geometric limits for existence of such single-vortex structure in ferroelectric nanodots and nanodisks have been numerically evaluated. The effect of intrinsic surface stress has been considered during the analysis.
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Oates, William S., Aurelian Malbec, Scott L. Herdic, and Christopher S. Lynch. "Phase field modeling of domain structures in ferroelectric materials." In Smart Structures and Materials, edited by Dimitris C. Lagoudas. SPIE, 2004. http://dx.doi.org/10.1117/12.539902.

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Kontsos, Antonios, Wenyuan Li, and Chad M. Landis. "Computational phase-field modeling of defect interactions in ferroelectrics." In SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, edited by Zoubeida Ounaies and Jiangyu Li. SPIE, 2009. http://dx.doi.org/10.1117/12.816127.

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Oates, William S., and Justin Collins. "Uncertainty quantification in quantum informed ferroelectric phase field modeling." In SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, edited by Nakhiah C. Goulbourne. SPIE, 2015. http://dx.doi.org/10.1117/12.2084413.

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Wang, Nanqiao, and Like Li. "LATTICE BOLTZMANN - PHASE FIELD METHOD FOR DENDRITIC GROWTH MODELING." In 5-6th Thermal and Fluids Engineering Conference (TFEC). Connecticut: Begellhouse, 2021. http://dx.doi.org/10.1615/tfec2021.cmd.032032.

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Reports on the topic "Phase field modeling"

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Karma, Alain. Phase-Field Modeling of Materials Interfaces and Nanostructures. Office of Scientific and Technical Information (OSTI), December 2022. http://dx.doi.org/10.2172/1906284.

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HOYT, JEFFREY J., MARK ASTA, and ALAIN KARMA. Linking Atomistic Simulations with Phase Field Modeling of Solidification. Office of Scientific and Technical Information (OSTI), November 2001. http://dx.doi.org/10.2172/791896.

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Allen, Jeffrey, Robert Moser, Zackery McClelland, Md Mohaiminul Islam, and Ling Liu. Phase-field modeling of nonequilibrium solidification processes in additive manufacturing. Engineer Research and Development Center (U.S.), December 2021. http://dx.doi.org/10.21079/11681/42605.

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This project models dendrite growth during nonequilibrium solidification of binary alloys using the phase-field method (PFM). Understanding the dendrite formation processes is important because the microstructural features directly influence mechanical properties of the produced parts. An improved understanding of dendrite formation may inform design protocols to achieve optimized process parameters for controlled microstructures and enhanced properties of materials. To this end, this work implements a phase-field model to simulate directional solidification of binary alloys. For applications involving strong nonequilibrium effects, a modified antitrapping current model is incorporated to help eject solute into the liquid phase based on experimentally calibrated, velocity-dependent partitioning coefficient. Investigated allow systems include SCN, Si-As, and Ni-Nb. The SCN alloy is chosen to verify the computational method, and the other two are selected for a parametric study due to their different diffusion properties. The modified antitrapping current model is compared with the classical model in terms of predicted dendrite profiles, tip undercooling, and tip velocity. Solidification parameters—the cooling rate and the strength of anisotropy—are studied to reveal their influences on dendrite growth. Computational results demonstrate effectiveness of the PFM and the modified antitrapping current model in simulating rapid solidification with strong nonequilibrium at the interface.
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Author, Not Given. Brittle fracture phase-field modeling of a short-rod specimen. Office of Scientific and Technical Information (OSTI), September 2015. http://dx.doi.org/10.2172/1225864.

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Landis, Chad M., and Thomas J. Hughes. Phase-Field Modeling and Computation of Crack Propagation and Fracture. Fort Belvoir, VA: Defense Technical Information Center, April 2014. http://dx.doi.org/10.21236/ada603638.

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Juanes, Ruben. Nonequilibrium Physics and Phase-Field Modeling of Multiphase Flow in Porous Media. Office of Scientific and Technical Information (OSTI), September 2016. http://dx.doi.org/10.2172/1332323.

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Hales, Jason, and Veena Tikare. Verification and Validation Strategy for Implementation of Hybrid Potts-Phase Field Hydride Modeling Capability in MBM. Office of Scientific and Technical Information (OSTI), April 2014. http://dx.doi.org/10.2172/1149015.

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Luke, Gary, Mark Eagar, Michael Sears, Scott Felt, and Bob Prozan. Status of Advanced Two-Phase Flow Model Development for SRM Chamber Flow Field and Combustion Modeling. Fort Belvoir, VA: Defense Technical Information Center, January 2004. http://dx.doi.org/10.21236/ada427829.

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Trabold, T. A., and R. Kumar. High pressure annular two-phase flow in a narrow duct. Part 1: Local measurements in the droplet field, and Part 2: Three-field modeling. Office of Scientific and Technical Information (OSTI), July 1999. http://dx.doi.org/10.2172/353192.

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Chen, Long-Qing, Xiaoxing Cheng, and Jacob Zorn. DOE DE-FG02-07ER46417 Grant Final Technical Report: Structure and Dynamics of Domains in Ferroelectric Nanostructures – Phase-Field Modeling. Office of Scientific and Technical Information (OSTI), May 2020. http://dx.doi.org/10.2172/1616792.

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