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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 舒貽忠 | |
| dc.contributor.author | Jian-Huei Syu | en |
| dc.contributor.author | 徐建輝 | zh_TW |
| dc.date.accessioned | 2021-06-13T02:30:16Z | - |
| dc.date.available | 2008-02-02 | |
| dc.date.copyright | 2007-02-02 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-01-25 | |
| dc.identifier.citation | [1]A. G. Khachaturyan. Theory of Structural Transformations in Solid . Wiley, New York, 1983.
[2]A. L. Roytburd. Martensitic Transformation as a Typical Phase Transformation in solids. Solid State Phys., 33:317-390,1978. [3]J. M. Ball and R. D. James. Fine Phase Mixtures as Minimiz- ers of Energy. Arch. Rat. Mech. Anal.,100:13-52,1987. [4]J. M. Ball and R. D. James. Proposed Experimental Tests of a Theory of Fine Microstructure and the Two Well Problem. Phil. Trans. Royal Soc. London A, 338:389-450, 1992. [5]J. S. Bowles and J. K. MacKenzie. The Crystallography of Martensite Transformations 1 and 2. Acta Metall., 2:129-137, 1954. [6]J. Slutsker, A. Artemev, and A. L. Roytburd. Morphological Transition of Elastic Domain Structures in Constrained Layers. J. Appl. phys, 91:9049-9058, 2002. [7]J. Wang, Y. Li, L. Q. Chen, and T. Y. Zhang. The Effect of Mechanical strains on the Ferroelectric and Dielectric Properties of a Model Single Crystal Phase Field Simulation. Acta Mater., 53:2495:2507, 2005. [8]J. Wang, S. Q. Shi. L. Q. Chen, Y. Li, and T. Y. Zhang. Phase Field Simulations of Ferroelectric / Ferroelastic Polarization Switching. Acta Materialia, 52:749-764, 2004. [9]J. Wang, Y. Li, L. Q. Chen, and T. Y. Zhang. The effect of Mechanical strains on the ferroelectric and dielectric properties of a Model single crystal Phase - field simulation. Acta Mater.,53:2495-2507, 2005. [10]J. X. Zhang and L. Q. Chen. Phase - Field Model for ferromagnetics Shape Memory Alloys. Phil. Mag. Letters, 85:533-541, 2005. [11]K. Bhattacharya and R. D. James. The Material is the Mach- ine. Science, 307:53-54, 2005. [12]K. Bhattacharya and R. V. Kohn. Symmetry, Texture and the Recoverable Strain of Shape Memory Polycrystals. Acta Mater.,44:529-542, 1996. [13]K. Bhattacharya. Comparison of the Geometrically Nonline- ar and Linear Theories of Martensitic Transformation. Cont. Mech. Thermodyn., 5:205-242, 1993. [14]K. Bhattacharya. Microstructure of Martensite. Oxford University Press, Oxford, 2003. [15]K. Bhattacharya., A. DeSimone, K. F. Hane, R. D. James, and C. J.Palmstrm. Tents and Tunnels on Martensitic Films. Materials Science and Engineering A, 273:685-689, 1999. [16]K. Otsuka and C. M. Wayman. Shape Memory Materials. Cambridge University Press, Cambridge, 1998. [17]K. Bhattacharya and R. D. James. A Theory of Thin Films of Martensitic Materials with Applications to Microactuators. J. Mech. Phys. Solids, 47:531-576, 1999. [18]K. Bhattacharya and R. V. Kohn. Elastic Energy Minimizat- ion and the Recoverable Strains of Polycrystalline Shape Memory Materials. Arch. Rat. Mech. Anal., 139:99-180, 1997. [19]K. Thornton. J. Agren and P.W. Voorhees. Modeling the Evolution of Phase Boundaries in Solids at the Meso- and Nano - Scales. Acta Mater., 51:5675-5710, 2003. [20]L. Q. Chen. Phase - Field Models for Microstructure Evolu- tion. Annu. Rev. Mater. Res., 32:113-40, 2002. [21]M. Wechsler, D. Libermann, and T. Read. On the Theory of the formation of Martensite. Trans. AIME., 197:1503-1515, 1953. [22]P. Krulevitch, A. P. Lee, P. B. Ramsey, J. C. Trevino, J. Hamilton, and M. A. Northrup. Thin Film Shape Memory Alloy Microactuators. Journal of Microelectromechanical System, 5:270-282, 1996. [23]S. Sreekala and G. Ananthakrishna. Two-Dimensional Mod -el for Ferromagnetic Martensites. Phys. Rev. B 72,134403, 2005. [24]T. Iwamoto. Multiscale computational simulation of defor- mation behavior of TRIP steel with growth of martensitic particles in unit cell by asymptotic homogenization method. International Journal of Plasticity, 20:841-869, 2004. [25]Y. C. Shu. Heterogeneous Thin Films of Martensitic Mater- ials. Arch. Rational Mech. Anal., 153:30-39, 2000. [26]Y. C. Shu. Shape-Memory Micropumps. Materials Transac- tions, 43:1037-1044, 2002. [27]Y. C. Shu. Strain Relaxation in an Alloy Film with a Rough Free Surface. J. Elas., 66:63-92, 2002. [28]Y. C. Shu and K. Bhattacharya. The Influence of Texture on the Shape - Memory Effect in Polycrystals. Acta Mater., 46: 5457-5473, 1998. [29]Y. Wang and A. G. Khachaturyan. Three-Dimensional Field Model and Computer Modeling of Martensitic Transformations. Acta Mater., 45:759-773, 1997. [30]Y. M. Jin, A. Aretmev and A. G. Khachaturyan. Three Dimensional Phase Field Model of Low Symmetry Martensitic Transformation in Polycrystal : Simulations of Martensite in AuCd Alloys. Acta Mater., 49:2309-2320, 2001. [31] Y. M. Jin, A. Aretmev and A. G. Khachaturyan..Three Dim- ensional Phase Field Model and Simulation of Cubic tetra- gonal Martensitic transformation in polycrystal. Phil. Mag. A, 82: 1249-1270, 2002. [32]Y. M. Jin and A. G. Khachaturyan. Phase field microelastici- ty theory of dislocation dynamics in a polycrystal: model and three - dimensional simulations. Phil. Mag. Letters, 81: 607-616, 2002. [33]Y. U. Wang, Y. M. Jin, A. M. Cuitino and A. G. Khachatur- yan. Nanoscale Phase Field Microelasticity Theory of Dislocations: Model and 3D Simulations. Acta Mater., 49:1847-1857, 2001. [34]S.M. Allen and J.W. Cahn. A Microscopic Theory for Antiphase Boundary Motion and Its Application to Antiphase Domain Coarsening. Acta Metall. Mater., 27:1085,1979. [35]Cooley, J. W. and J. W. Tukey, An Algorithm for the Machine Computation of the Complex Fourier Series, Mathematics of Computation, 19:297-301, 1965. [36]T. Mura, Micromechanics of defects in solids, Kluwer Academic Publishers, London, 1987. [37]舒貽忠，「新的形狀記憶合金之研究」，國科會研究報告， NSC 94-2216-E-002-032,2005. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/31109 | - |
| dc.description.abstract | 我們可以提出一套基於能量低點拘束的麻田散鐵理論架構，來研究變態成為多種兄弟晶微結構的特殊排列方式及其演化過程。此理論藉由能量最小原理預測在能量最低點的微結構排列方式。由於麻田散鐵塊材與其薄膜在內部所形成之微結構是可以非常不一樣的，是故本文應用所發展之理論架構來研究麻田散鐵薄膜之微結構。同時對於四邊受鉗制之薄膜施加不同型式之應變，進行微結構之數值模擬，所得之結果與理論均相當符合。 | zh_TW |
| dc.description.abstract | A framework based on the constrained theory of martensite to study the formation and relaxation process of microstructure is proposed here. The principle of energy minimization requires that martensitic variants are patterned in a special way to reduce the total free energy. Further, it is well-known that microstructure formed in thin films can be significantly different from that formed in bulk materials. The proposed framework is then used to investigate microstructure in martensitic thin films. A variety of microstructures for a clamped film with different applied strains are predicted and the simulation results are found to agree well with the theory. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T02:30:16Z (GMT). No. of bitstreams: 1 ntu-96-R93543065-1.pdf: 5583292 bytes, checksum: 8143123ce59ef4752d5a0f397ce4cccf (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | 誌謝 I
摘要 III Abstract IV 目錄 V 第1章 導論 1 1-1研究動機 1 1-2簡介相場法 2 1-3文獻回顧 3 1-4文章架構 4 第2章 理論架構 5 2-1數學模型 5 2-2能量極小原理及演化方程式 7 2-3彈性力學條件 11 2-4以傅立葉轉換解力學平衡問題 12 2-5不同兄弟晶之各別演化方程式 19 第3章 數值方法 24 3-1 數值積分法 24 3-2各項自由能之離散形式 26 3-3離散形式傅立葉分析 28 3-4以傅立葉轉換解褶積問題 30 第4章 數值模擬結果 34 4-1 驗證快速傅立葉轉換使用之正確性 34 4-2兩種兄弟晶，平均應變為零 41 4-3 兩種兄弟晶，平均應變不為零 50 4-4 三種兄弟晶，平均應變為零 55 4-5三種兄弟晶，平均應變不為零 58 4-6遲滯現象 64 第5章 結論與未來展望 66 5-1 結論 66 5-1 未來展望 67 參考文獻 68 附錄A 簡介傅立葉轉換 74 附錄B Matlab快速傅立葉轉換之使用 75 | |
| dc.language.iso | zh-TW | |
| dc.title | 新式相場模擬法應用於麻田散鐵微結構之研究 | zh_TW |
| dc.title | A Novel Phase Field Simulation of Martensitic Microstructures | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳國慶,謝宗霖 | |
| dc.subject.keyword | 微結構,相變,相場法, | zh_TW |
| dc.subject.keyword | microstructure,phase transformation,phase field method, | en |
| dc.relation.page | 75 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-01-25 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| 顯示於系所單位： | 應用力學研究所 | |
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