請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/49769
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳俊杉(Chuin-Shan Chen) | |
dc.contributor.author | Tzu-Hsuan Huang | en |
dc.contributor.author | 黃子軒 | zh_TW |
dc.date.accessioned | 2021-06-15T11:47:10Z | - |
dc.date.available | 2016-08-24 | |
dc.date.copyright | 2016-08-24 | |
dc.date.issued | 2016 | |
dc.date.submitted | 2016-08-12 | |
dc.identifier.citation | Allen, S. M., and Cahn, J. W. (1979). 'A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening.' Acta Metallurgica, 27(6), 1085-1095.
Ascher, U. M., and Petzold, L. R. (1998). Computer methods for ordinary differential equations and differential-algebraic equations, Siam. Ashby, M. F. (1989). 'On the Engineering Properties of Materials.' Acta Metallurgica, 37(5), 1273-1293. Badalassi, V., Ceniceros, H., and Banerjee, S. (2003). 'Computation of multiphase systems with phase field models.' Journal of Computational Physics, 190(2), 371-397. Balay, S., Abhyankar, S., Adams, M., Brown, J., Brune, P., Buschelman, K., Eijkhout, V., Gropp, W., Kaushik, D., and Knepley, M. (2014). 'PETSc users manual revision 3.5.' Argonne National Laboratory (ANL). Balluffi, R. W., Allen, S., and Carter, W. C. (2005). Kinetics of materials, John Wiley & Sons. Bangerth, W., Burstedde, C., Heister, T., and Kronbichler, M. (2011). 'Algorithms and Data Structures for Massively Parallel Generic Adaptive Finite Element Codes.' Acm T Math Software, 38(2), 14. Bangerth, W., Davydov, D., Heister, T., Heltai, L., Kanschat, G., Kronbichler, M., Maier, M., Turcksin, B., and Wells, D. 'The deal. II Library, Version 8.4. 0.' Bangerth, W., Hartmann, R., and Kanschat, G. (2007). 'deal. II—a general-purpose object-oriented finite element library.' ACM Transactions on Mathematical Software (TOMS), 33(4), 24. Bareggi, A., Maire, E., Lasalle, A., and Deville, S. (2011). 'Dynamics of the Freezing Front During the Solidification of a Colloidal Alumina Aqueous Suspension:In SituX-Ray Radiography, Tomography, and Modeling.' Journal of the American Ceramic Society, 94(10), 3570-3578. Barr, S. A., and Luijten, E. (2010). 'Structural properties of materials created through freeze casting.' Acta materialia, 58(2), 709-715. Boettinger, W. J., Coriell, S. R., Greer, A. L., Karma, A., Kurz, W., Rappaz, M., and Trivedi, R. (2000). 'Solidification microstructures: Recent developments, future directions.' Acta Materialia, 48(1), 43-70. Boettinger, W. J., Warren, J. A., Beckermann, C., and Karma, A. (2002). 'Phase-Field Simulation of Solidification.' Annual Review of Materials Research, 32(1), 163-194. Borden, M. J., Verhoosel, C. V., Scott, M. A., Hughes, T. J. R., and Landis, C. M. (2012). 'A phase-field description of dynamic brittle fracture.' Comput Method Appl M, 217, 77-95. Braun, R. J., and Murray, B. T. (1997). 'Adaptive phase-field computations of dendritic crystal growth.' Journal of Crystal Growth, 174(1-4), 41-53. Brenan, K. E., Campbell, S. L., and Petzold, L. R. (1996). Numerical solution of initial-value problems in differential-algebraic equations, Siam. Caginalp, G. (1986). 'An Analysis of a Phase Field Model of a Free-Boundary.' Archive for Rational Mechanics and Analysis, 92(3), 205-245. Caginalp, G., and Fife, P. (1986). 'Higher-order phase field models and detailed anisotropy.' Phys Rev B Condens Matter, 34(7), 4940-4943. Caginalp, G., and Fife, P. (1986). 'Phase-field methods for interfacial boundaries.' Phys Rev B Condens Matter, 33(11), 7792-7794. Caginalp, G., and Jones, J. (1995). 'A Derivation and Analysis of Phase Field Models of Thermal Alloys.' Annals of Physics, 237(1), 66-107. Caginalp, G., and Socolovsky, E. (1991). 'Computation of sharp phase boundaries by spreading: the planar and spherically symmetric cases.' Journal of Computational Physics, 95(1), 85-100. Caginalp, G., and Xie, W. (1993). 'Phase-field and sharp-interface alloy models.' Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics, 48(3), 1897-1909. Cahn, J. W., and Hilliard, J. E. (1958). 'Free Energy of a Nonuniform System. I. Interfacial Free Energy.' The Journal of Chemical Physics, 28(2), 258. Cao, J., Rambo, C. R., and Sieber, H. (2004). 'Preparation of porous Al2O3-Ceramics by biotemplating of wood.' Journal of Porous Materials, 11(3), 163-172. Chaikin, P. M., and Lubensky, T. C. (1995). Principles of condensed matter physics, Cambridge Univ Press. Chen, L. Q. (2002). 'Phase-field models for microstructure evolution.' Annual Review of Materials Research, 32(1), 113-140. Chen, P. Y., Lin, A. Y., Lin, Y. S., Seki, Y., Stokes, A. G., Peyras, J., Olevsky, E. A., Meyers, M. A., and McKittrick, J. (2008). 'Structure and mechanical properties of selected biological materials.' J Mech Behav Biomed Mater, 1(3), 208-226. Collins, J. B., and Levine, H. (1985). 'Diffuse interface model of diffusion-limited crystal growth.' Phys Rev B Condens Matter, 31(9), 6119-6122. Deville, S. (2008). 'Freeze-casting of porous ceramics: A review of current achievements and issues.' Advanced Engineering Materials, 10(3), 155-169. Deville, S. (2010). 'Freeze-Casting of Porous Biomaterials: Structure, Properties and Opportunities.' Materials, 3(3), 1913-1927. Deville, S., Maire, E., Lasalle, A., Bogner, A., Gauthier, C., Leloup, J., and Guizard, C. (2009). 'In Situ X‐Ray Radiography and Tomography Observations of the Solidification of Aqueous Alumina Particle Suspensions—Part I: Initial Instants.' Journal of the American Ceramic Society, 92(11), 2489-2496. Deville, S., Saiz, E., Nalla, R. K., and Tomsia, A. P. (2006). 'Freezing as a path to build complex composites.' Science, 311(5760), 515-518. Deville, S., Saiz, E., and Tomsia, A. P. (2006). 'Freeze casting of hydroxyapatite scaffolds for bone tissue engineering.' Biomaterials, 27(32), 5480-5489. Deville, S., Saiz, E., and Tomsia, A. P. (2007). 'Ice-templated porous alumina structures.' Acta Materialia, 55(6), 1965-1974. Echebarria, B., Folch, R., Karma, A., and Plapp, M. (2004). 'Quantitative phase-field model of alloy solidification.' Phys Rev E Stat Nonlin Soft Matter Phys, 70(6 Pt 1), 061604. Ehrenfest, P. (1933). Phasenumwandlungen im ueblichen und erweiterten Sinn, classifiziert nach den entsprechenden Singularitaeten des thermodynamischen Potentiales, NV Noord-Hollandsche Uitgevers Maatschappij. El Hasadi, Y. M. F., and Khodadadi, J. M. (2013). 'Numerical Simulation of the Effect of the Size of Suspensions on the Solidification Process of Nanoparticle-Enhanced Phase Change Materials.' Journal of Heat Transfer, 135(5), 052901. Elder, K. R., Drolet, F., Kosterlitz, J. M., and Grant, M. (1994). 'Stochastic eutectic growth.' Phys Rev Lett, 72(5), 677-680. Evans, A. G., Suo, Z., Wang, R. Z., Aksay, I. A., He, M. Y., and Hutchinson, J. W. (2001). 'Model for the robust mechanical behavior of nacre.' Journal of Materials Research, 16(9), 2475-2484. Eyre, D. J. (1998). 'An unconditionally stable one-step scheme for gradient systems.' Unpublished article. Finkel, R. A., and Bentley, J. L. (1974). 'Quad trees a data structure for retrieval on composite keys.' Acta informatica, 4(1), 1-9. Fix, G. J. (1982). 'Phase field methods for free boundary problems.' Frank, G., Christian, E., and Dietmar, K. (2011). 'A Novel Production Method for Porous Sound‐Absorbing Ceramic Material for High‐Temperature Applications.' International Journal of Applied Ceramic Technology, 8(3), 646-652. Freddolino, P. L., Harrison, C. B., Liu, Y., and Schulten, K. (2010). 'Challenges in protein folding simulations: Timescale, representation, and analysis.' Nat Phys, 6(10), 751-758. Fu, Q., Rahaman, M. N., Dogan, F., and Bal, B. S. (2008). 'Freeze-cast hydroxyapatite scaffolds for bone tissue engineering applications.' Biomed Mater, 3(2), 025005. Fukasawa, T., Deng, Z. Y., Ando, M., Ohji, T., and Goto, Y. (2001). 'Pore structure of porous ceramics synthesized from water-based slurry by freeze-dry process.' Journal of Materials Science, 36(10), 2523-2527. Glimm, J., Isaacson, E., Marchesin, D., and McBryan, O. (1981). 'Front tracking for hyperbolic systems.' Advances in Applied Mathematics, 2(1), 91-119. Godby, R., Needs, R., and Payne, M. (1990). 'Materials under the Mathematical Microscope.' Phys World, 3(10), 39-43. Gunton, J., San Miguel, M., and Sahni, P. (1982). 'Phase Transitions and Critical Phenomena, Vol. 8, eds.' C. Domb and JL Lebowitz (Academic, London, 1983) p, 267. Hadji, L. (2004). 'Morphological instability induced by the interaction of a particle with a solid-liquid interface.' Eur Phys J B, 37(1), 85-89. Hammel, E. C., Ighodaro, O. L. R., and Okoli, O. I. (2014). 'Processing and properties of advanced porous ceramics: An application based review.' Ceramics International, 40(10), 15351-15370. Ho-Le, K. (1988). 'Finite element mesh generation methods: a review and classification.' Computer-aided design, 20(1), 27-38. Hohenberg, P. C., and Halperin, B. I. (1977). 'Theory of Dynamic Critical Phenomena.' Reviews of Modern Physics, 49(3), 435-479. Huang, T.-H., Huang, T.-H., Lin, Y.-S., Chang, C.-H., and Chen, C.-S. (2016). 'Application of GSSSS Time Integration Method for Dierential-Algebraic Phase-Field Equations.' Journal of Computational Physics. Hughes, T. J. R. (1987). 'The finite element method: linear static and dynamic finite element analysis.' Englewood Cliffs, NJ: Prentice-Hall. Husmann, A., Pawelec, K., Burdett, C., Best, S., and Cameron, R. (2015). 'Numerical simulations to determine the influence of mould design on ice-templated scaffold structures.' Journal of Biomedical Engineering and Informatics, 1(1). Jaeger, G. (1998). 'The Ehrenfest classification of phase transitions: Introduction and evolution.' Archive for History of Exact Sciences, 53(1), 51-81. Jiao, Y., Stillinger, F. H., and Torquato, S. (2007). 'Modeling heterogeneous materials via two-point correlation functions: basic principles.' Phys Rev E Stat Nonlin Soft Matter Phys, 76(3 Pt 1), 031110. Karma, A. (2001). 'Phase-field formulation for quantitative modeling of alloy solidification.' Phys Rev Lett, 87(11), 115701. Karma, A., and Rappel, W. J. (1996). 'Numerical Simulation of Three-Dimensional Dendritic Growth.' Phys Rev Lett, 77(19), 4050-4053. Karma, A., and Rappel, W. J. (1996). 'Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics.' Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics, 53(4), R3017-R3020. Karma, A., and Rappel, W. J. (1998). 'Quantitative phase-field modeling of dendritic growth in two and three dimensions.' Phys Rev E, 57(4), 4323-4349. Karma, A., and Rappel, W. J. (1999). 'Phase-field model of dendritic sidebranching with thermal noise.' Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics, 60(4 Pt A), 3614-3625. Kobayashi, R. (1992). 'Simulations of three dimensional dendrites.' Pattern Formation in Complex Dissipative Systems, Edited by S. Kai, World Scientific, Singapore, 121-128. Kobayashi, R. (1993). 'Modeling and Numerical Simulations of Dendritic Crystal-Growth.' Physica D, 63(3-4), 410-423. Kobayashi, R. (1994). 'A numerical approach to three-dimensional dendritic solidification.' Experimental Mathematics, 3(1), 59-81. Lan, C., Chang, Y., and Shih, C. (2003). 'Adaptive phase field simulation of non-isothermal free dendritic growth of a binary alloy.' Acta Materialia, 51(7), 1857-1869. Langer, J., and Sekerka, R. (1975). 'Theory of departure from local equilibrium at the interface of a two-phase diffusion couple.' Acta Metallurgica, 23(10), 1225-1237. Langer, J. S. (1980). 'Instabilities and Pattern-Formation in Crystal-Growth.' Reviews of Modern Physics, 52(1), 1-28. Langer, J. S. (1986). Directions in condensed matter physics, World Scientific. Langer, J. S. (1986). 'Models of Pattern Formation in First-Order Phase Transitions.' 1, 165-186. Launey, M. E., Munch, E., Alsem, D. H., Saiz, E., Tomsia, A. P., and Ritchie, R. O. (2010). 'A novel biomimetic approach to the design of high-performance ceramic-metal composites.' J R Soc Interface, 7(46), 741-753. Lefebvre, S., Hornus, S., and Neyret, F. (2005). 'Octree textures on the GPU.' GPU gems, 2, 595-613. Li, S. H., De Wijn, J. R., Layrolle, P., and de Groot, K. (2002). 'Synthesis of macroporous hydroxyapatite scaffolds for bone tissue engineering.' J Biomed Mater Res, 61(1), 109-120. Li, W., Porter, M. M., Olevsky, E. A., German, R. M., and McKittrick, J. (2015). 'Sintering of bi-porous titanium dioxide scaffolds: Experimentation, modeling and simulation.' Mat Sci Eng a-Struct, 636, 148-156. Li, W. L., Lu, K., and Walz, J. Y. (2013). 'Freeze casting of porous materials: review of critical factors in microstructure evolution.' International Materials Reviews, 57(1), 37-60. Lin, A. Y., Chen, P. Y., and Meyers, M. A. (2008). 'The growth of nacre in the abalone shell.' Acta Biomater, 4(1), 131-138. Liu, D. M. (1997). 'Influence of porosity and pore size on the compressive strength of porous hydroxyapatite ceramic.' Ceramics International, 23(2), 135-139. Liu, G., Zhang, D., Meggs, C., and Button, T. W. (2010). 'Porous Al2O3–ZrO2 composites fabricated by an ice template method.' Scripta Materialia, 62(7), 466-468. Liu, J., Lim, H. K., Glimm, J., and Li, X. L. (2007). 'A conservative front tracking method in N-dimensions.' Journal of Scientific Computing, 31(1-2), 213-236. Makishima, A., Mackenzie, J., and Hammel, J. (1979). 'The leaching of phase-separated sodium borosilicate glasses.' Journal of Non-Crystalline Solids, 31(3), 377-383. McFadden, G. B., Wheeler, A. A., Braun, R. J., Coriell, S. R., and Sekerka, R. F. (1993). 'Phase-field models for anisotropic interfaces.' Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics, 48(3), 2016-2024. Meagher, D. J. (1980). Octree encoding: A new technique for the representation, manipulation and display of arbitrary 3-d objects by computer, Electrical and Systems Engineering Department Rensseiaer Polytechnic Institute Image Processing Laboratory. Menig, R., Meyers, M. H., Meyers, M. A., and Vecchio, K. S. (2000). 'Quasi-static and dynamic mechanical response of Haliotis rufescens (abalone) shells.' Acta Materialia, 48(9), 2383-2398. Meyers, M. A., Chen, P.-Y., Lin, A. Y.-M., and Seki, Y. (2008). 'Biological materials: Structure and mechanical properties.' Progress in Materials Science, 53(1), 1-206. Meyers, M. A., Chen, P. Y., Lopez, M. I., Seki, Y., and Lin, A. Y. (2011). 'Biological materials: a materials science approach.' J Mech Behav Biomed Mater, 4(5), 626-657. Meyers, M. A., McKittrick, J., and Chen, P. Y. (2013). 'Structural biological materials: critical mechanics-materials connections.' Science, 339(6121), 773-779. Moelans, N., Blanpain, B., and Wollants, P. (2008). 'An introduction to phase-field modeling of microstructure evolution.' Calphad-Computer Coupling of Phase Diagrams and Thermochemistry, 32(2), 268-294. Moore, G. E. (1965). 'Cramming more components onto integrated circuits.' Electronic, 38, 114-117. Mullins, W. W., and Sekerka, R. (1964). 'Stability of a planar interface during solidification of a dilute binary alloy.' Journal of applied physics, 35(2), 444-451. Nagashima, K., and Furukawa, Y. (1997). 'Nonequilibrium effect of anisotropic interface kinetics on the directional growth of ice crystals.' Journal of Crystal Growth, 171(3-4), 577-585. Naglieri, V., Bale, H. A., Gludovatz, B., Tomsia, A. P., and Ritchie, R. O. (2013). 'On the development of ice-templated silicon carbide scaffolds for nature-inspired structural materials.' Acta Materialia, 61(18), 6948-6957. Nakahara, H., Kakei, M., and Bevelander, G. (1982). 'Electron microscopic and amino acid studies on the outer and inner shell layers of Haliotis rufescens.' Venus (Japan). Ode, M., Kim, S. G., and Suzuki, T. (2001). 'Mathematical Modeling of Iron and Steel Making Processes. Recent Advances in the Phase-field Model for Solidification.' ISIJ international, 41(10), 1076-1082. Ojuva, A., Järveläinen, M., Bauer, M., Keskinen, L., Valkonen, M., Akhtar, F., Levänen, E., and Bergström, L. (2015). 'Mechanical performance and CO 2 uptake of ion-exchanged zeolite A structured by freeze-casting.' Journal of the European Ceramic Society, 35(9), 2607-2618. Oxtoby, D. (1991). 'Liquids, freezing and the glass transition.' Les Houches Summer School Lectures vol LI. Oxtoby, D. W. (2002). 'Density functional methods in the statistical mechanics of materials.' Annual Review of Materials Research, 32(1), 39-52. Pavlik, S. G., and Sekerka, R. F. (1999). 'Forces due to fluctuations in the anisotropic phase-field model of solidification.' Physica A, 268(3-4), 283-290. Pavlik, S. G., and Sekerka, R. F. (2000). 'Fluctuations in the phase-field model of solidification.' Physica A, 277(3-4), 415-431. Pekor, C. M., Kisa, P., and Nettleship, I. (2008). 'Effect of Polyethylene Glycol on the Microstructure of Freeze‐Cast Alumina.' Journal of the American Ceramic Society, 91(10), 3185-3190. Penrose, O., and Fife, P. C. (1990). 'Thermodynamically consistent models of phase-field type for the kinetic of phase transitions.' Physica D: Nonlinear Phenomena, 43(1), 44-62. Penrose, O., and Fife, P. C. (1993). 'On the Relation between the Standard Phase-Field Model and a Thermodynamically Consistent Phase-Field Model.' Physica D, 69(1-2), 107-113. Peppin, S. S. L., Elliott, J. A. W., and Worster, M. G. (2006). 'Solidification of colloidal suspensions.' Journal of Fluid Mechanics, 554(-1), 147-166. Peppin, S. S. L., Worster, M. G., and Wettlaufer, J. S. (2007). 'Morphological instability in freezing colloidal suspensions.' P R Soc A, 463(2079), 723-733. Plimpton, S. (1995). 'Fast Parallel Algorithms for Short-Range Molecular-Dynamics.' Journal of Computational Physics, 117(1), 1-19. Porter, M. M., Mckittrick, J., and Meyers, M. A. (2013). 'Biomimetic Materials by Freeze Casting.' Jom, 65(6), 720-727. Provatas, N., and Elder, K. (2010). Phase-Field Methods in Material Science and Engineering, Wiley. Provatas, N., Goldenfeld, N., and Dantzig, J. (1998). 'Efficient computation of dendritic microstructures using adaptive mesh refinement.' Physical Review Letters, 80(15), 3308-3311. Provatas, N., Goldenfeld, N., and Dantzig, J. (1999). 'Adaptive mesh refinement computation of solidification microstructures using dynamic data structures.' Journal of Computational Physics, 148(1), 265-290. Rempel, A. W., and Worster, M. G. (1999). 'The interaction between a particle and an advancing solidification front.' Journal of Crystal Growth, 205(3), 427-440. Rintoul, M., and Torquato, S. (1996). 'Computer simulations of dense hard‐sphere systems.' The Journal of chemical physics, 105(20), 9258-9265. Rowlinson, J. (1979). 'Translation of JD van der Waals'“The thermodynamik theory of capillarity under the hypothesis of a continuous variation of density”.' Journal of Statistical Physics, 20(2), 197-200. Ryshkewitch, E. (1953). 'Compression Strength of Porous Sintered Alumina and Zirconia .9. To Ceramography.' Journal of the American Ceramic Society, 36(2), 65-68. Sarikaya, M. (1994). 'An introduction to biomimetics: a structural viewpoint.' Microsc Res Tech, 27(5), 360-375. Sepulveda, P., and Binner, J. G. P. (1999). 'Processing of cellular ceramics by foaming and in situ polymerisation of organic monomers.' Journal of the European Ceramic Society, 19(12), 2059-2066. Shampine, L. F., and Reichelt, M. W. (1997). 'The matlab ode suite.' SIAM journal on scientific computing, 18(1), 1-22. Shimada, M., Masuri, S., and Tamma, K. (2015). 'A novel design of an isochronous integration [iIntegration] framework for first/second order multidisciplinary transient systems.' International Journal for Numerical Methods in Engineering, 102(3-4), 867-891. Sieber, H., Hoffmann, C., Kaindl, A., and Greil, P. (2000). 'Biomorphic cellular ceramics.' Advanced Engineering Materials, 2(3), 105-109. Singer-Loginova, I., and Singer, H. M. (2008). 'The phase field technique for modeling multiphase materials.' Reports on Progress in Physics, 71(10), 106501. Sleptsov, V., Shcherbina, O., and Trunov, G. (1975). 'Removal of binder from silicon nitride specimens.' Soviet Powder Metallurgy and Metal Ceramics, 14(7), 596-598. Song, F., Soh, A. K., and Bai, Y. L. (2003). 'Structural and mechanical properties of the organic matrix layers of nacre.' Biomaterials, 24(20), 3623-3631. Steinbach, I. (2009). 'Phase-field models in materials science.' Modelling and Simulation in Materials Science and Engineering, 17(7), 073001. Tönhardt, R., and Amberg, G. (2000). 'Dendritic growth of randomly oriented nuclei in a shear flow.' Journal of Crystal Growth, 213(1), 161-187. Terashima, H., and Tryggvason, G. (2009). 'A front-tracking/ghost-fluid method for fluid interfaces in compressible flows.' Journal of Computational Physics, 228(11), 4012-4037. Wang, R. Z., Suo, Z., Evans, A. G., Yao, N., and Aksay, I. A. (2001). 'Deformation mechanisms in nacre.' Journal of Materials Research, 16(9), 2485-2493. Wang, S. L., and Sekerka, R. F. (1996). 'Algorithms for phase field computation of the dendritic operating state at large supercoolings.' Journal of Computational Physics, 127(1), 110-117. Wang, S. L., and Sekerka, R. F. (1996). 'Computation of the dendritic operating state at large supercoolings by the phase field model.' Phys Rev E, 53(4), 3760-3776. Wang, S. L., Sekerka, R. F., Wheeler, A. A., Murray, B. T., Coriell, S. R., Braun, R. J., and Mcfadden, G. B. (1993). 'Thermodynamically-Consistent Phase-Field Models for Solidification.' Physica D, 69(1-2), 189-200. Wegst, U. G., Bai, H., Saiz, E., Tomsia, A. P., and Ritchie, R. O. (2015). 'Bioinspired structural materials.' Nat Mater, 14(1), 23-36. Wegst, U. G., Schecter, M., Donius, A. E., and Hunger, P. M. (2010). 'Biomaterials by freeze casting.' Philos Trans A Math Phys Eng Sci, 368(1917), 2099-2121. Wegst, U. G. K., and Ashby, M. F. (2004). 'The mechanical efficiency of natural materials.' Philos Mag, 84(21), 2167-2181. Wheeler, A. A., Ahmad, N. A., Boettinger, W. J., Braun, R. J., Mcfadden, G. B., and Murray, B. T. (1995). 'Recent Developments in Phase-Field Models of Solidification.' Adv Space Res, 16(7), 163-172. Wheeler, A. A., Murray, B. T., and Schaefer, R. J. (1993). 'Computation of Dendrites Using a Phase Field Model.' Physica D, 66(1-2), 243-262. Xu, H., Cheng, L., Li, M. C., Chen, Y. M., and Zhong, L. S. (2015). 'Using Octrees to Detect Changes to Buildings and Trees in the Urban Environment from Airborne LiDAR Data.' Remote Sensing, 7(8), 9682-9704. Yoon, B. H., Lee, E. J., Kim, H. E., and Koh, Y. H. (2007). 'Highly aligned porous silicon carbide ceramics by freezing Polycarbosilane/Camphene solution.' Journal of the American Ceramic Society, 90(6), 1753-1759. Young, G. W., Davis, S. H., and Brattkus, K. (1987). 'Anisotropic Interface Kinetics and Tilted Cells in Unidirectional Solidification.' Journal of Crystal Growth, 83(4), 560-571. Zaremba, C. M., Belcher, A. M., Fritz, M., Li, Y. L., Mann, S., Hansma, P. K., Morse, D. E., Speck, J. S., and Stucky, G. D. (1996). 'Critical transitions in the biofabrication of abalone shells and flat pearls.' Chem Mater, 8(3), 679-690. Zhang, H., Hussain, I., Brust, M., Butler, M. F., Rannard, S. P., and Cooper, A. I. (2005). 'Aligned two- and three-dimensional structures by directional freezing of polymers and nanoparticles.' Nat Mater, 4(10), 787-793. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/49769 | - |
dc.description.abstract | 冷凍鑄造法是極具潛力的仿生多孔材料合成方法,不但製程單純、成本低廉,且可透過多種參數來調控多孔材料內部的微結構組成,擁有夠大規模量產的特性,極具商品化價值。此方法主要是以冷凍固化的方式形成冰晶與粉體的二相結構,透過生長出的冰晶作為材料微結構模型,並藉由調控冷凍溫度梯度、冷凍速度、漿料濃度、溶劑添加物等變因來形塑出不同的多孔材料微結構,最後經冰晶昇華與粉體燒結,生成最終的陶瓷坯體。其中最關鍵的步驟為冷凍固化的調控,藉由具方向性的冰晶推開懸浮液中的粉體,成長出複雜的片狀(lamellar)與樹枝狀(dendritic)冰晶,直接決定最終坯體的內部微結構。
本研究提出針對冷凍鑄造法在參數調控下合成仿生多功能孔洞材料內部微結構成長的數值模型,啟發自Peppin等人所提出之一維冷凍鑄造模型,並由二元合金固化模型延伸而來。陶瓷微粒在模型中被視為一質量流(mass flow),以濃度場表示;而溫度場則是被定義為一個能夠自由調控的給定參數。透過兩者與相場方程式的耦合得以模擬冰晶於陶瓷微粒懸浮液中成長的動態過程,同時可對實驗中最具主導性的漿料濃度與冷凍速度兩操作變因進行分析。 首先,透過相場法(phase-field method)可將不連續邊界物理模型(sharp interface model)轉化為在數值上較易處理的連續邊界值問題(continuous boundary value problem),再應用自適應有限元素法大幅提升計算效率,最終得以重現冷凍鑄造過程中陶瓷微粒與冰晶間的交互作用,更能夠看出兩相界面處異向性的微結構演化。此數值模型的模擬結果與實驗量測相當吻合,無論是參數調控對微結構的影響趨勢,還是量化數值的分析比較,兩者都具有一致的結論。 此外,本研究深化了漿料濃度與冷凍速度對陶瓷坯體微結構控制的理解,也為冷凍鑄造法相關領域的研究者在材料設計上,提供一個更清晰的參考憑藉。不但奠定了冷凍鑄造數值模擬最基本的原型,更開啟冷凍鑄造法製程模擬的扉頁,給予日後數值模擬與冷凍鑄造法實驗領域能夠緊密結合的前景,也開啟材料微結構模擬另一種新的可能。 | zh_TW |
dc.description.abstract | In this research, a numerical model for microstructure evolution in the freeze-casting process is established. The theoretical mechanism behind the ceramic colloidal suspension solidification process is revealed; also, the relationship between the critical factors and the porous structures is quantitatively described. The model is benchmarked with experimental results and found to be in good agreement.
In recent decades, freeze-casting, with an excellent flexibility in microstructure control, has attracted great attention as a potential manufacture method of bioinspired materials. Solidification of ice crystal in ceramic colloidal suspension is found as an important role in freeze-casting dynamical process. The formation of microstructure in solidification results in a dendritic pattern within the ice-template crystallization, determining the macroscopic properties of the materials. In this dissertation, a phase-field model is proposed to describe the crystallization of the ice-template and the particle evolution during the solidification. The ceramic particle is regarded as a mass flow, namely a concentration field. Following the 1D freeze-casting model by Peppin and a general phase-field model for binary alloy casting, a sharp interface model is built up and transformed into a continuous boundary value problem by the phase-field method. The adaptive finite element technique is employed to decrease the computational cost; furthermore, the algorithm reconstructs the details of microstructure, and the influence of the anisotropy may be exhibited. Finally, the numerical results are compared with the experimental data, which demonstrate a good agreement. Both results identify several essential physical parameters controlling the ice-template morphology and the formation of microstructure, such as front velocity, temperature gradient, and particle concentration. The first numerical model to simulate the structural detail in freeze-casting is constructed in the study; moreover, significant perspectives on designing the bioinspired material is presented. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T11:47:10Z (GMT). No. of bitstreams: 1 ntu-105-R03521603-1.pdf: 42308389 bytes, checksum: b9b8d72266ae99f2a2856b75bc6bfa0a (MD5) Previous issue date: 2016 | en |
dc.description.tableofcontents | 口試委員會審定書 ii
致謝 iii 中文摘要 v Abstract vi 圖目錄 vii 表目錄 x 第一章 緒論 1 1.1仿生多孔材料 1 1.2冷凍鑄造法合成仿生多功能孔洞材料 5 1.3研究目的 9 1.4大綱 10 第二章 相場理論與數值方法 11 2.1相場理論簡介 12 2.2有限元素法與時間積分演算法 15 2.3動態結構化自適應網格 21 2.4數值方法於相場模型之應用 29 第三章 冷凍鑄造法之微結構成長模擬 39 3.1現有與冷凍鑄造法相關的數值模型 40 3.2冷凍鑄造法微結構成長之相場法模型 44 3.3數值模擬 50 3.4參數研究及實驗比較 52 第四章 結論與未來研究方向 65 4.1總結 65 4.2未來展望 66 參考文獻 68 | |
dc.language.iso | zh-TW | |
dc.title | 以相場法模擬冷凍鑄造法合成之仿生材料微結構 | zh_TW |
dc.title | Computational Phase-Field Modeling for Microstructural Evolution in Bioinspired Material from Freeze-Casting Process | en |
dc.type | Thesis | |
dc.date.schoolyear | 104-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 陳柏宇,陳洵毅,張書瑋,張志祥,林揚善 | |
dc.subject.keyword | 相場法,仿生材料,樹枝狀孔洞微結構,冷凍鑄造法,自適應有限元素法, | zh_TW |
dc.subject.keyword | Phase-Field Method,Bioinspired Material,Dendritic Microstructure,Freeze-Casting Process,Adaptive Finite Element Method, | en |
dc.relation.page | 77 | |
dc.identifier.doi | 10.6342/NTU201602040 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2016-08-13 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
顯示於系所單位: | 土木工程學系 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-105-1.pdf 目前未授權公開取用 | 41.32 MB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。