The Three-Dimensional Morphology of Growing Dendrites

The processes controlling the morphology of dendrites have been of great interest to a wide range of communities, since they are examples of an out-of-equilibrium pattern forming system, there is a clear connection with battery failure processes, and their morphology sets the properties of many metallic alloys. We determine the three-dimensional morphology of free growing metallic dendrites using a novel X-ray tomographic technique that improves the temporal resolution by more than an order of magnitude compared to conventional techniques. These measurements show that the growth morphology of metallic dendrites is surprisingly different from that seen in model systems, the morphology is not self-similar with distance back from the tip, and that this morphology can have an unexpectedly strong influence on solute segregation in castings. These experiments also provide benchmark data that can be used to validate simulations of free dendritic growth.

[1]  Doron Aurbach,et al.  A short review of failure mechanisms of lithium metal and lithiated graphite anodes in liquid electrolyte solutions , 2002 .

[2]  Tobias A. Fuchs,et al.  Coronary computed tomography angiography with model-based iterative reconstruction using a radiation exposure similar to chest X-ray examination , 2014, European heart journal.

[3]  P. Voorhees,et al.  The evolution of interfacial morphology during coarsening: A comparison between 4D experiments and phase-field simulations , 2011 .

[4]  M. Suéry,et al.  In situ and real-time 3-D microtomography investigation of dendritic solidification in an Al-10 wt.% Cu alloy , 2009 .

[5]  Ken D. Sauer,et al.  A unified approach to statistical tomography using coordinate descent optimization , 1996, IEEE Trans. Image Process..

[6]  Charles A. Bouman,et al.  Model-based iterative reconstruction for synchrotron X-ray tomography , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[7]  Peter W Voorhees,et al.  Segmentation of four-dimensional, X-ray computed tomography data , 2014, Integrating Materials and Manufacturing Innovation.

[8]  C. Baird,et al.  The pilot study. , 2000, Orthopedic nursing.

[9]  Brener.  Needle-crystal solution in three-dimensional dendritic growth. , 1993, Physical review letters.

[10]  Sebastian Feuerlein,et al.  New iterative reconstruction techniques for cardiovascular computed tomography: how do they work, and what are the advantages and disadvantages? , 2011, Journal of cardiovascular computed tomography.

[11]  Jan Sijbers,et al.  Reduction of ring artefacts in high resolution micro-CT reconstructions. , 2004, Physics in medicine and biology.

[12]  Charles A. Bouman,et al.  TIMBIR: A Method for Time-Space Reconstruction From Interlaced Views , 2015, IEEE Transactions on Computational Imaging.

[13]  S. R. Stock,et al.  X-ray Microtomography with Synchrotron Radiation , 1986, Optics & Photonics.

[14]  J. Tarascon,et al.  Lithium metal stripping/plating mechanisms studies: A metallurgical approach , 2006 .

[15]  Hiroaki Sugiura,et al.  Model-Based Iterative Reconstruction Technique for Ultralow-Dose Computed Tomography of the Lung: A Pilot Study , 2012, Investigative radiology.

[16]  Jean-Baptiste Thibault,et al.  A three-dimensional statistical approach to improved image quality for multislice helical CT. , 2007, Medical physics.

[17]  S.-C. Huang,et al.  FUNDAMENTALS OF DENDRITIC SOLIDIFICATION — II DEVELOPMENT OF SIDEBRANCH STRUCTURE††Research supported by the Marshall Space Flight Center, through the Spacing Processing Application Rocket (SPAR) Program. Office of Application, NASA. , 1988 .

[18]  Andrea J. van Doorn,et al.  Surface shape and curvature scales , 1992, Image Vis. Comput..

[19]  Steve B. Jiang,et al.  Low-dose 4DCT reconstruction via temporal nonlocal means. , 2010, Medical physics.

[20]  M. Glas,et al.  Principles of Computerized Tomographic Imaging , 2000 .

[21]  Andreas Maier,et al.  Spatial-temporal total variation regularization (STTVR) for 4D-CT reconstruction , 2012, Medical Imaging.

[22]  Bertil Gustafsson,et al.  On the direct Fourier method for computer tomography , 2000, IEEE Transactions on Medical Imaging.

[23]  K. A. Jackson,et al.  Transparent compounds that freeze like metals , 1965 .

[24]  David H. Kim,et al.  Abdominal CT with model-based iterative reconstruction (MBIR): initial results of a prospective trial comparing ultralow-dose with standard-dose imaging. , 2012, AJR. American journal of roentgenology.

[25]  Ron Goldman,et al.  Curvature formulas for implicit curves and surfaces , 2005, Comput. Aided Geom. Des..

[26]  M. Cross,et al.  Pattern formation outside of equilibrium , 1993 .

[27]  Goldenfeld,et al.  Origin of sidebranching in dendritic growth. , 1987, Physical review. A, General physics.

[28]  M. Gündüz,et al.  The measurement of solid-liquid surface energies in the Al-Cu, Al-Si and Pb-Sn systems , 1985 .

[29]  Temkin,et al.  Noise-induced sidebranching in the three-dimensional nonaxisymmetric dendritic growth. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[30]  M. Stampanoni,et al.  Regridding reconstruction algorithm for real-time tomographic imaging , 2012, Journal of synchrotron radiation.

[31]  P. Voorhees,et al.  The morphological evolution of dendritic microstructures during coarsening , 2006 .

[32]  J. Langer.  Instabilities and pattern formation in crystal growth , 1980 .

[33]  P. Voorhees,et al.  The dynamics of interfaces during coarsening in solid–liquid systems , 2014 .

[34]  C. Beckermann,et al.  Scaling behavior of three-dimensional dendrites , 1998 .

[35]  S. P. Marsh,et al.  Overview of Geometric Effects on Coarsening of Mushy Zones , 1996 .

[36]  H. Nguyen-Thi,et al.  Tip-splitting instability and transition to seaweed growth during alloy solidification in anisotropically preferred growth direction , 2014 .

[37]  R. Trivedi,et al.  Spatiotemporal dynamics of oscillatory cellular patterns in three-dimensional directional solidification. , 2013, Physical review letters.

[38]  Martin E. Glicksman,et al.  Overview 12: Fundamentals of dendritic solidification—II development of sidebranch structure☆ , 1981 .

[39]  M. Suéry,et al.  Ultra Fast In Situ X-Ray Micro-Tomography: Application to Solidification of Aluminium Alloys , 2012 .

[40]  Ji‐Guang Zhang,et al.  Lithium metal anodes for rechargeable batteries , 2014 .

[41]  R. Trivedi,et al.  Solidification microstructures: recent developments, future directions , 2000 .

[42]  H. Müller-Krumbhaar,et al.  THEORY OF DENDRITIC GROWTH—I. ELEMENTS OF A STABILITY ANALYSIS , 1978 .

[43]  Jan P. Allebach,et al.  Analysis of time-sequential sampling with a spatially hexagonal lattice , 1983 .

[44]  Bisang,et al.  Integral parameters of xenon dendrites. , 1992, Physical review. A, Atomic, molecular, and optical physics.