{"currentpage":1,"firstResult":0,"maxresult":10,"pagecode":5,"pageindex":{"endPagecode":5,"startPagecode":1},"records":[{"abstractinfo":"A simple derivation of phase-field model for pure materials based on entropy functional is provided and then solved by adaptive finite element method (AFEM) to simulate the free dendritic growth from undercooled nickel melt. To investigate the evolutions of the dendrite and reproduce the real physical process, the modeling is performed in a larger domain and thinner interface with the highly computationally efficient and accurate AFEM. The simulated results show that the secondary arms grow in an unsymmetrical mode and their development is controlled by the thermal diffusion and affected by noises which are arbitrarily introduced in the phase-field governing equation. As the latent heat released during the migration of solid-liquid interface is accumulated sufficiently,it prompted initiation of other secondary arms at the same side of the primary arm. As the computation proceeds, the secondary arms become coarsened apparently through four different modes.","authors":[],"categoryName":"|","doi":"","fpage":"390","id":"241f608e-c164-4dc5-8366-3eec20877a20","issue":"1","journal":{"abbrevTitle":"APS","id":"36b887b6-8083-4722-8735-38a6f6f18130","issnPpub":"1000-3290","publisherId":"APS","title":"Acta Physica Sinica"},"keywords":[{"id":"b3096ffb-77e1-4626-b4ac-2802fbff8b59","keyword":"free dendritic growth;phase-field;adaptive finite element method;binary alloy;efficient computation;solidification;simulation;microstructures","originalKeyword":"free dendritic growth;phase-field;adaptive finite element method;binary alloy;efficient computation;solidification;simulation;microstructures"}],"language":"en","publisherId":"1000-3290_2009_1_1","title":"Phase-field modeling of free dendritic growth with adaptive finite element method","volume":"58","year":"2009"},{"abstractinfo":"Two-dimensional numerical simulation for the dendrite growth of binary alloy during solidification is carried out by a phase field method. In the model equations, phase field, temperature and solute redistribution are all involved. The equations are solved using the finite difference method (FDM) with two different space steps of phase field and temperature field. In calculation, the thermal noise is introduced to generate the side branches; the dependence of dendrite growth on the space step was also investigated. It is shown that thermal noise can trigger the growth of side-branches, however it has no influence on the stable behavior of the dendrite tip; the feature of dendrite growth is reasonable with δ Δx≤0.6W0, Δx is the space step and W0 is the thickness of interface.","authors":[{"authorName":"Hua HOU","id":"ba6eb722-8c1b-4007-8bef-89212a1dfce5","originalAuthorName":"Hua HOU"},{"authorName":" Dong-Ying Ju","id":"3d54b440-df13-49e3-a841-9032a398969a","originalAuthorName":" Dong-Ying Ju"},{"authorName":" Yuhong ZHAO","id":"e36b0af7-61d6-4754-8aa8-fa0005a46e94","originalAuthorName":" Yuhong ZHAO"},{"authorName":" Jun CHENG","id":"19796333-5c13-4f00-ae83-d5076c49edc1","originalAuthorName":" Jun CHENG"}],"categoryName":"|","doi":"","fpage":"45","id":"bfe49ed5-22f8-484c-867c-55d0963bd776","issue":"Supl.","journal":{"abbrevTitle":"CLKXJSY","coverImgSrc":"journal/img/cover/JMST.jpg","id":"11","issnPpub":"1005-0302 ","publisherId":"CLKXJSY","title":"材料科学技术(英文)"},"keywords":[{"id":"5f70d6c3-011b-4e4d-8b25-f89372cbd1ed","keyword":"Phase field","originalKeyword":"Phase field"},{"id":"3a3afb12-637d-40ff-8128-25fdaeb324c4","keyword":"null","originalKeyword":"null"},{"id":"b5be9063-08e7-4b1f-a292-60eae745c7b7","keyword":"null","originalKeyword":"null"}],"language":"en","publisherId":"1005-0302_2004_Supl._6","title":"Numerical Simulation for Dendrite Growth of Binary Alloy with Phase-Field Method","volume":"20","year":"2004"},{"abstractinfo":"The initial transient in directional solidification of Al-4wt%Cu alloy by cooling-down is investigated by numerical simulation using the phase-field model proposed by Karma (Phys Rev Lett 87 (2001) 115701) which includes solute antitrapping in mass conservation relation and is solved by the adaptive finite element method The simulated velocity of the unsteady planar solidification interface and the solute profile in the liquid are always close to the predictions of the Warren Langer analytical model of initial solidification transient (Phys Rev E 47 (1993) 2702) but only in the very beginning of growth in fair quantitative agreement with the experimental data obtained by means of in situ and real time X-ray radiography at the European Synchrotron Radiation Facility (ESRF) Then the influence of gravity-driven fluid flow becomes significant in experiments and increases with time In the phase field simulations once the smooth solidification front has lost morphological stability in the initial solidification transient the evolution of the non-planar solid-liquid interface microstructure varies with the processing control parameters It is found that the solid liquid interface shape changes through transitions from flat to cellular cellular to dendritic cellular or dendritic to seaweed depending on the values of the applied cooling rate and temperature gradient","authors":[],"categoryName":"|","doi":"","fpage":"1895","id":"c89e75ed-0e39-4420-b6c7-7f4e58a530f5","issue":"12","journal":{"abbrevTitle":"II","id":"be05330f-f2cd-4357-8ace-0fecea6d8951","issnPpub":"0915-1559","publisherId":"II","title":"Isij International"},"keywords":[{"id":"61acf673-e161-416c-ba0f-9ddbc6fbacc4","keyword":"directional solidification;alloys;initial transient;microstructure;transition;phase-field modeling;Al-Cu alloy;synchrotron;X ray;imaging;free dendritic growth;finite-element-method;binary alloy;numerical;simulations;crystal-growth;cu alloy;computation;prediction;stability","originalKeyword":"directional solidification;alloys;initial transient;microstructure;transition;phase-field modeling;Al-Cu alloy;synchrotron;X ray;imaging;free dendritic growth;finite-element-method;binary alloy;numerical;simulations;crystal-growth;cu alloy;computation;prediction;stability"}],"language":"en","publisherId":"0915-1559_2010_12_1","title":"Phase-field Modeling of the Initial Transient in Directional Solidification of Al-4wt%Cu Alloy","volume":"50","year":"2010"},{"abstractinfo":"The initial transient during directional solidification of an Al-4 wt.% Cu alloy was simulated by a quantitative phase-field model solved with the adaptive finite element method. The simulated solidification process was compared with the related analytical theory and in situ and real time observations by means of X-ray radiography at the European Synchrotron Radiation Facility. The simulated velocity of the planar interface and solute profile ahead of the solidification front in the liquid are close to the predictions of the Warren-Langer model of the initial planar solidification transient, but in fair quantitative agreement with experimental results only at early stages of planar solidification. After the accelerated flat interface lost its stability a transition to cellular solidification was initiated. The initial cell spacing predicted by the phase-field simulation agreed well with the experimental observations in the region where the cell growth direction was perpendicular to the fluid flow, whereas a discrepancy was obvious in the corners where the fluid flow was parallel to growth. An analytical relation describing the wavelength of the initial solid-liquid interface corrugations under diffusion-limited transport is screened out by comparing the phase-field simulation data with expressions based upon the Mullins-Sekerka linear stability analysis theory or derived for primary spacing. The gravity-driven natural convection in the experiment resulted in misfits between the phase-field predictions and the experimental observations in the late stage of planar solidification, onset and development of morphological instability. (C) 2011 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.","authors":[],"categoryName":"|","doi":"","fpage":"199","id":"cbc2fb9c-b43c-40c1-ae28-0f0226c3690c","issue":"1","journal":{"abbrevTitle":"AM","id":"473e1d60-024a-4fd2-8f59-9e3ede87721e","issnPpub":"1359-6454","publisherId":"AM","title":"Acta Materialia"},"keywords":[{"id":"c76e90e3-5c14-4d79-8f7c-dd2b3798d628","keyword":"Phase-field model;Directional solidification;Alloys;Real time;synchrotron observation;Natural convection;free dendritic growth;binary alloy;in-situ;aluminum-alloy;microstructures;simulation;interface;computation;prediction","originalKeyword":"Phase-field model;Directional solidification;Alloys;Real time;synchrotron observation;Natural convection;free dendritic growth;binary alloy;in-situ;aluminum-alloy;microstructures;simulation;interface;computation;prediction"}],"language":"en","publisherId":"1359-6454_2012_1_2","title":"Quantitatively comparing phase-field modeling with direct real time observation by synchrotron X-ray radiography of the initial transient during directional solidification of an Al-Cu alloy","volume":"60","year":"2012"},{"abstractinfo":"phase-field method to simulate non-dendritic growth during preparation of Al-4Cu-Mg semi-solid alloy by electromagnetic stirring method (EMS method). Several factors such as the disturbance intensity, anisotropy, the thickness of the interface and the ratio of diffusivity in solid and liquid were considered. It is shown that decreasing the thickness of the interface results in more circular outline of particles, and increasing the diffusivity in solid can reduce degree of microsegregation. The disturbance intensity in the model can be connected with current intensity of stator or magnetic induction density impressed. Simulation results show that the larger the disturbance intensity or magnetic induction density, the more globular morphology the original phase in the matrix.","authors":[{"authorName":"Xiaolu YU","id":"445b0714-e45c-43ac-a922-17dca95977b5","originalAuthorName":"Xiaolu YU"},{"authorName":" Fuguo LI","id":"171bb350-2781-4bf0-bd7c-37df0f61de54","originalAuthorName":" Fuguo LI"},{"authorName":" Yuanchun REN","id":"0e96dd27-7dad-4686-ab8f-d0daa69f999a","originalAuthorName":" Yuanchun REN"}],"categoryName":"|","doi":"","fpage":"441","id":"0d2f8752-717c-4aec-b6a4-b926374d8dc3","issue":"4","journal":{"abbrevTitle":"CLKXJSY","coverImgSrc":"journal/img/cover/JMST.jpg","id":"11","issnPpub":"1005-0302 ","publisherId":"CLKXJSY","title":"材料科学技术(英文)"},"keywords":[{"id":"ffa11fcf-1892-4974-88aa-17e225d04b88","keyword":"Semi-solid metal","originalKeyword":"Semi-solid metal"},{"id":"5f678d1a-5781-4d13-9180-feedcb1d9c35","keyword":"微观组织","originalKeyword":"微观组织"},{"id":"be357efb-e5e2-4c96-97a6-9d86bac43557","keyword":"模拟","originalKeyword":"模拟"},{"id":"3df399f7-b199-4de3-8e48-8fc12bef49bf","keyword":"相场法","originalKeyword":"相场法"}],"language":"en","publisherId":"1005-0302_2006_4_20","title":"Phase-field Simulation of Microstructural Evolution during Preparation of Semi-solid Metal by Electromagnetic Stirring Method","volume":"22","year":"2006"},{"abstractinfo":"A new phase field method for two-dimensional simulations of binary alloy solidification was studied. A model basing on solute conservative in every unit was developed for solving the solute diffusion equation during solidification. Two-dimensional computations were performed for ideal solutions and Ni-Cu dendritic growth into an isothermal and highly supersaturated liquid phase.","authors":[{"authorName":"H.M.Ding","id":"0545e76e-2b0e-40ca-9e2f-b1998e77bad7","originalAuthorName":"H.M.Ding"},{"authorName":" L.L.Chen","id":"6757cc75-4d94-42bc-b9f2-bfcc4a2b405b","originalAuthorName":" L.L.Chen"},{"authorName":" R.X.Liu","id":"91ad6131-d434-4e92-afdd-127c208654e8","originalAuthorName":" R.X.Liu"}],"categoryName":"|","doi":"","fpage":"835","id":"1d1b7312-c33b-4f90-837b-4050ebd9786c","issue":"6","journal":{"abbrevTitle":"JSXBYWB","coverImgSrc":"journal/img/cover/amse.jpg","id":"49","issnPpub":"1006-7191","publisherId":"JSXBYWB","title":"金属学报(英文版)"},"keywords":[{"id":"19a9a4ce-730b-4ae5-8262-ef49b92170a4","keyword":"phase field","originalKeyword":"phase field"},{"id":"7120d1f5-d88a-43c5-97e1-087818ba83e7","keyword":"null","originalKeyword":"null"},{"id":"d2fb78d5-fad6-4041-bc4c-d0913513003c","keyword":"null","originalKeyword":"null"}],"language":"en","publisherId":"1006-7191_2004_6_20","title":"MICRO-DESCRIPTION OF THE SOLUTE-FIELD AND THE PHASE-FIELD MODEL FOR ISOTHERMAL PHASETRANSITION IN BINARY ALLOYS","volume":"17","year":"2004"},{"abstractinfo":"The phase-field model coupled with a flow field was used to simulate the solidification of pure materials by the finite difference method. The effects of initial crystal radius, the space step and the interface thickness on the dendrite growth were studied. Results indicate that the grain grows into an equiaxial dendrite during free flow and into a typical branched structure under forced flow. The radius of an initial crystal can affect the growth of side-branches but not the stability of the dendrite's tip when an appropriate value is assigned to it. With an increase in space steps, side-branches appear at the upstream of the longitudinal principal branch and they grow rapidly. With an increase in the interface thickness, the trunk of the longitudinal upstream and lateral principal branches grow longer and become more slender while the number of secondary branches increases.","authors":[{"authorName":"Yutian DING","id":"f9b9cd88-dc9c-4087-91e0-c27ce15696ea","originalAuthorName":"Yutian DING"}],"categoryName":"|","doi":"","fpage":"121","id":"438b0936-e06c-4859-8a0c-8a4ff9edad63","issue":"2","journal":{"abbrevTitle":"JSXBYWB","coverImgSrc":"journal/img/cover/amse.jpg","id":"49","issnPpub":"1006-7191","publisherId":"JSXBYWB","title":"金属学报(英文版)"},"keywords":[{"id":"ecf4266c-6cab-4f0c-a889-49d20c1de1e4","keyword":"Phase field method","originalKeyword":"Phase field method"},{"id":"78dc582f-2c58-43e8-b981-8af23e0545ce","keyword":"强制对流","originalKeyword":"强制对流"},{"id":"98b482f7-dabe-4dd9-9b05-4af9867fc16f","keyword":"枝晶生长","originalKeyword":"枝晶生长"},{"id":"4ded1759-ef4b-4c9c-aae4-ca9be90bfe0a","keyword":"模拟","originalKeyword":"模拟"}],"language":"en","publisherId":"1006-7191_2010_2_4","title":"Phase field simulation of dendrite growth under convection","volume":"23","year":"2010"},{"abstractinfo":"Numerical simulation based on phase field method\nis performed to describe solidification process of pure material in\na free or forced flow. The evolution of the interface is showed, and\nthe effects of mesh grid and flow velocity on succinonitrite shape\nare studied. These results indicate that crystal grows into an\nequiaxial dendrite in a free flow and into an asymmetrical dendritic\nin a forced flow. With increasing flow velocity, the\nupstream dendritic arm tip grows faster and the downstream arm grows\nslower. However, the evolution of the perpendicular tip has no\nsignificant change. In addition, mesh grid has no influence on\ndendritic growth shape when mesh grid is above 300x300.","authors":[{"authorName":"Z. Chen","id":"caf172d7-3127-4948-a228-a2fb32ee0e8b","originalAuthorName":"Z. Chen"},{"authorName":" C.L.Chen","id":"49b12dc7-6937-4344-816a-73ed4e4124fc","originalAuthorName":" C.L.Chen"},{"authorName":" L.M. Hao","id":"418c68f4-8fee-4f9c-a60c-bdcbbc9837a6","originalAuthorName":" L.M. Hao"}],"categoryName":"|","doi":"","fpage":"444","id":"2f9be765-fcce-4bb5-87b8-23068607daef","issue":"6","journal":{"abbrevTitle":"JSXBYWB","coverImgSrc":"journal/img/cover/amse.jpg","id":"49","issnPpub":"1006-7191","publisherId":"JSXBYWB","title":"金属学报(英文版)"},"keywords":[{"id":"9ba57a40-fb2e-4470-96db-c2c36295e6c1","keyword":"Phase field method","originalKeyword":"Phase field method"},{"id":"ebeb5922-6f18-4bfe-aad6-92c3b4f66703","keyword":"null","originalKeyword":"null"}],"language":"en","publisherId":"1006-7191_2008_6_9","title":"Numerical Simulation Of Succinonitrite Dendritic Growth In A Forced Flow","volume":"21","year":"2008"},{"abstractinfo":"Based on the two-parameter phase field model of polycrystalline, the grain growth in polycrystalline material during isothermal holding is simulated by using the adaptive finite element method. The calculated results demonstrates that the cusp grain boundaries are inclined to planar and some small grains coarsen into larger ones through grain boundary migration due to the curvature effect. When the grain boundary misorientations are small enough and meet certain energy and geometric conditions, two grains can rotate to reduce external energy of grain boundaries and coarsen into a single grain. All the modelling results are in good agreement with some experimental observations, and the phase-field model can be successfully employed to simulate polycrystalline grain growth.","authors":[],"categoryName":"|","doi":"","fpage":"","id":"22c110a0-421a-4c0d-a5ac-cccef66e8109","issue":"6","journal":{"abbrevTitle":"APS","id":"36b887b6-8083-4722-8735-38a6f6f18130","issnPpub":"1000-3290","publisherId":"APS","title":"Acta Physica Sinica"},"keywords":[{"id":"33df8454-8c01-4720-b7b9-6aca157fbed2","keyword":"phase-field;grain boundary migration;grain rotation;coarsening;austenite-ferrite transformation;low-carbon steel;dendritic growth;spinodal decomposition;mesoscale simulation;boundary migration;binary;alloy;thin-films;rotation;recrystallization","originalKeyword":"phase-field;grain boundary migration;grain rotation;coarsening;austenite-ferrite transformation;low-carbon steel;dendritic growth;spinodal decomposition;mesoscale simulation;boundary migration;binary;alloy;thin-films;rotation;recrystallization"}],"language":"en","publisherId":"1000-3290_2009_6_3","title":"Phase field modelling of grain growth in polycrystalline material","volume":"58","year":"2009"},{"abstractinfo":"Two new classes of growth morphologies, called doublons and seaweed, were simulated using a phase-field method. The evolution of doublon and seaweed morphologies was obtained in directional solidification. The influence of orientation and velocity on the growth morphology was investigated. It was indicated that doublons preferred growing with its crystallographic axis aligned with the heat flow direction. Seaweed, on the other hand, could be obtained by tilting the crystalline axis to 45°. Stable doublons could only exist in a range of velocity regime. Beyond this regime the patterns formed would be unstable. The simulation results agreed with the reported experimental results qualitatively.","authors":[{"authorName":"M.E Li ","id":"6a24dedd-3816-4fee-8d31-d8ce777af008","originalAuthorName":"M.E Li "},{"authorName":" G.C. Yang","id":"cf916a4b-0c80-414b-9d79-f38c332fdfdf","originalAuthorName":" G.C. Yang"},{"authorName":"null","id":"2efee4e7-0151-4659-aec7-4585c3f9a144","originalAuthorName":"null"},{"authorName":"null","id":"bed7f6e2-27b9-41b1-8df8-5ee486a7ede3","originalAuthorName":"null"}],"categoryName":"|","doi":"","fpage":"258","id":"c6b2ee1a-bdf1-490a-bd94-4f33a4b70e7a","issue":"4","journal":{"abbrevTitle":"JSXBYWB","coverImgSrc":"journal/img/cover/amse.jpg","id":"49","issnPpub":"1006-7191","publisherId":"JSXBYWB","title":"金属学报(英文版)"},"keywords":[{"id":"62671fd1-cfb5-4b89-8a83-e2ab3bac9e71","keyword":"growth morphologies","originalKeyword":"growth morphologies"},{"id":"9f6652c7-8772-45db-be81-c1ab563a7384","keyword":"null","originalKeyword":"null"},{"id":"57416156-5214-4e17-a1f4-174ff223bf9a","keyword":"null","originalKeyword":"null"}],"language":"en","publisherId":"1006-7191_2007_4_1","title":"Growth Morphologies of a Binary Alloy with Low Anisotropy in Directional Solidification","volume":"20","year":"2007"}],"totalpage":1474,"totalrecord":14739}