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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 陳國慶(Kuo-Ching Chen) | |
dc.contributor.author | Yu-Jie Huang | en |
dc.contributor.author | 黃昱傑 | zh_TW |
dc.date.accessioned | 2021-06-15T04:45:14Z | - |
dc.date.available | 2011-08-22 | |
dc.date.copyright | 2011-08-22 | |
dc.date.issued | 2011 | |
dc.date.submitted | 2011-08-18 | |
dc.identifier.citation | Alshibli, K. A. and Sture, S. (1999). Sand shear band thickness measurements by digital imaging techniques. Journal of Computing in Civil Engineering, 13(2): 103-109
Alshibli, K. A., Batiste, S. N., and Sture, S. (2003). Strain localization in sand: plane strain versus triaxial compression . Journal of Geotechnical and Geoenvironmental Engineering, 129: 483-494. Bagi, K. (1996). Stress and strain in granular assemblies. Mechanics of Materials, vol 22, pp. 165-177 Bagi, K. and Kuhn, M. R. (2004). A definition of particle rolling in granular assembly in terms of particle translations and rotations. Journal of Applied Mechanics, 71: 493-501. Chen, K. C., Lan, J. Y., and Tai, Y. C. (2009). Discription of local dilatancy and local rotation of granular assemblies by micrstretch modeling. International Journal of Solids Structures ,vol 46 ,pp. 3882-3893. Cundall, P. A. (1971). A computer model for simulating progressive, large-scale movements in block rock systems. In Proceedings of the Symposium of the International Society of Rock Mechanics, volume 1 of Paper No. II-8 DeJong, J. and Frost, J. D. (2002). Physical evidence of shear banding at granular-solid interfaces. In 15th ASCE Engineering Mechanics Conference. Evens, T. (2005). Microscale Physical and Numerical Investigations of shear banding in Granular Soils. PhD thesis, Grorgia Institute of Technology. Fazekas, S., Török, J., Kertész, J., and Wolf, D. E. (2006). Morphologies of three-dimensional shear bands in granular media. Physical Review E ,74: 031303 Calvetti, F., Combe, G., and Lanier, J. (1997). Experimental micromechanical analysis of a 2D granular material: relation between structure evolution and loading path. Mechanics of cohesive-frictional materials, vol. 2, 121-163. Goldhirsch, I. and Zanetti, G. (1993). Clustering instability in dissipative gases. Physical Review Latters, vol. 70, pp. 1619-1622 Gudehus, G. and Nubel, K. (2004). Evolution of shear bands in sand. Geotechnique, 54(3): 187-201 Schlichting, H. and Nordmeier, V. (1996). Strukturen in Sand. Math. Naturwiss. Unterr, vol. 49, pp. 323-332 Hong ,D, Quinn, P., and Luding, S. (2000). Reverse brazil nut problem: Conpetition between percolation and condensation. Physical Review Latters, vol. 86, pp. 3423-3426, 2001. Huang, W., Nubel, K., and Bauer, E. (2002). Polar extension of a hypopastic model for granular materials with shear localization. Mechanics of Materials, 34(9): 563-576. Huang, W. and Bauer, E. (2003). Numerical investigations of shear localization in a micro-polar hypoplastic material. International Journal for Numerical and Analytical Methods in Geomechanics, 27(4): 325-352. Kuhn, M. and Bagi, K. (2004). Contact rolling and deformation in granular media. International Journal of Solids and Structures, 41(21):5793-5820. Kuhn, M. R. and Bagi, K. (2005). On the relative motions of two rigid bodies at compliant contact: Application to granular media. Mechanics Research Communications, 32(4): 463-480. Kuo, C. Y. and Frost, J. D. (1996). Uniformity evaluation of coesionless specimens using digital image analysis. Journal of Geotechnical Engineering, 122(5): 390-396. Kuo, C. Y., Frost, J. D., and Chameus, J. L. A. (1998). Image analysis determination of stereology based fabric tensors . Geotechnique, 48(4): 515-525. Lade, P. V. and Wang, Q. (2001). Analysis of shear banding in true triaxial tests on sand. Journal of Engineering Mechanics, 127(8): 762-768. Lambiotte, R., Salazer, J., and Brenig, L. (2005). From particle segregation to the granular clock. Physics Letters A, vol. 343, pp. 224-230 Lan, J. Y. (2008). Microcontinuum Analysis of granular material. PhD thesis, Institute of Applied Mechanics, National Taiwan University. Lin, S. Y. (2008). A Preliminary Study of Using Graphic Processors on Discrete Element Method Computaion. MS thesis, Department of Construction Engineering, National Taiwan University of Science and Technology. pp.1-19. Mokni, M. and Desrues, J. (1999). Strain localization measurements in undrained plane strain biaxial tests on Hostun RF sand. Mechanics of Cohesive-frictional Materials, 4(4): 419-441 Munjiza, A. (2004). The Combined Finite-Discrete Element Method, Queen Mary, University of London, London, UK. Oda, M. and Iwashita, K., editors (1999). Mechanics of granular Materials: An Introduction. Ballkema, Netherlands. Oda, M., Kazama, H., and Konishi, J. (1998). Effects of induced anisotropy on the developments of shear bands in granular materials: effects of particle rolling. Mechanics of Materials, 28(1-4): 103-111. Tejchman, J. (2006). Effect of fluctuation of current void ratio on the shear zone formation in granular bodies within micro-polar hypoplasticity. Computers and Geothechnics, 33(1): 29-46. Voyiadjis, G. and Song, C. (2005). A couple micro-mechanical based model for saturated soils. Mechanics Research Communications, 32(5): 490-503. Wang ,Y. and Hutter, K. (2001). Granular material theories revisited. In Balmforth, N, and Provenzale, A., editors, Geomorphological Fluid Mechanics, chapter 4, pages 79-107. Springer Wang, L. B., Frost, J. D., and Lai, J. S. (2004).Three-dimensional digital representation of granular material microstructure form X-Ray tomography imaging. Journal of Computing in Civil Engineering, 18:28. Warren, M. and Salmon, J. (1993). A parallel Hashed Oct-Tree N-Body Algorithm. Thechnical Paper Submitted to Proceedings of Supercomputing’ 93, pp. 1-2 Williams, J., Perkins, E., and Cook, B. (2004). Acontact algorithm for partition N arbitrary sized objects. Engineering Computation, pp. 235-248. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45731 | - |
dc.description.abstract | 顆粒材料於外界給予作用力下,其材料的破壞方式呈現局部性的剪切破壞,並產生應變局部化之情形,而此局部化之區域可稱之為剪切帶。一般而言,剪切帶上與其鄰近區域間往往呈現一個微觀性質的不連續現象,因此,吾人可依據此現象來判別剪切帶之位置、大小、方向等,進而了解剪切帶之形式與材料演化之行為。至今,眾多文獻對於剪切帶上之局部宏觀效應已有諸多之研究結果,然而,對於其中許多微觀特性之比較尚無較清楚的探討。
本研究主要利用離散元素法(Discrete Element Methods)來模擬顆粒材料於軸向試驗下,形成剪切帶之過程。模擬之工作可分為兩部分,第一部分為利用PFC2D軟體,來模擬二維軸向試驗之剪切帶形成;而第二部分為例為EDEM軟體,來模擬三維軸向試驗之剪切帶形成。 此外,本文參考諸多文獻之推導,引進六種微觀物理量來進行剪切帶識別之工作,此六種識別指標分別孔隙率、自旋角速度、接觸顆粒數、微迴旋張量之體膨脹、微迴旋張量之旋轉、以及剪切強度。藉此,來探討各指標之微觀性質於二維及三維剪切帶上之呈現,並作各辨識指標之比較、分類及統整的工作。 | zh_TW |
dc.description.abstract | Failure of granular materials under external forces is presented by localized strain bands. This localized strain failure is called “ shear bands“. In general, microscopic properties are discontinuous between the shear bands and their neighborhood. Therefore, based on the phenomenon of shear bands, we can determine the location, size, and direction. The Morphologies of shear bands and their evolution are also of interest. Although the macroscopic phenomena had been addressed in many exist literature, microscopic features were largely omitted.
In this dissertation, we use the discrete element method (DEM) to simulate the process of granular materials forming shear bands. This simulation is divided into two part. First, We use PFC2D software to simulate a two-dimensional axial test that produces shear bands;Secondly, we use EDEM software to simulate a three- dimensional axial test. There are six microscopic quantities are defined for theoretical modeling. They are the porosity, spin angular velocity, number of contact particles, the bulk part of the gyration tensor , the rotation part of the gyration tensor and the local shear intensity. We investigate the shear bands with these six parameters and discuss the m- icroscopic properties in the 2D and 3D shear bands. Companion, classification and summarization of the granular material proportion using these parameters are performed. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T04:45:14Z (GMT). No. of bitstreams: 1 ntu-100-R98543052-1.pdf: 5476871 bytes, checksum: 8ff86627fa1f9eabe23fa487ad427c38 (MD5) Previous issue date: 2011 | en |
dc.description.tableofcontents | 第一章 緒論 1
1.1前言 1 1.2文獻回顧 2 1.2.1顆粒材料之定義 2 1.2.2顆粒材料的特殊現象 3 1.2.3離散近似方法介紹 7 1.2.4剪切帶之諸多微觀與宏觀性質 9 1.2.5二維與三維剪切帶 13 1.2.6軸向試驗之模擬介紹 15 1.3研究動機與論文架構 17 第二章 微連續體力學-微形連續體 20 2.1微連續體之運動與變形 20 2.1.1 座標系統定義 20 2.1.2運動與變形 22 2.1.3微變形梯度之時間導數與微迴旋張量 23 2.1.4場量分解法則 23 2.2微迴旋張量之體膨脹與旋轉介紹 24 2.2.1微迴旋張量之體膨脹 24 2.2.2微迴旋張量之旋轉 26 2.3宏觀應力 27 2.3.1宏觀區域受力 27 2.3.2 Branch向量 29 2.4宏觀應變 31 2.4.1以顆粒平均位移求取宏觀應變 32 2.4.2以外部力量作工求取宏觀應變 33 第三章 離散元素法與各辨識指標之介紹 34 3.1離散元素計算 34 3.1.1循環計算之守則 36 3.1.2接觸組成模型 38 3.2辨識指標離散計算方法 43 3.2.1 辨識指標-孔隙率 43 3.2.2辨識指標-自旋角速度 57 3.2.3辨識指標-接觸顆粒個數 58 3.2.4 辨識指標-局部剪切強度 59 3.2.5 辨識指標-微迴旋張量之體膨脹與旋轉 59 第四章 顆粒材料之剪切帶-二維軸向試驗模擬 61 4.1雙軸實驗模擬配置 61 4.1.1模擬對象與試體之生成 62 4.1.2顆粒體 64 4.1.3薄膜邊界與加壓 66 4.2宏觀元素選取 68 4.3雙軸模擬結果與討論 70 4.3.1各指標之場圖呈現及代表意義 70 4.3.2各指標辨識效率之探討 76 4.3.3辨識指標區分 78 第五章 顆粒材料之剪切帶-三維軸向試驗模擬 83 5.1三維軸向模擬 83 5.2模擬對象與模擬配置 84 5.3內插網格 89 5.4三維顆粒體自旋角速度 91 5.5 三維軸向試驗模擬之結果與討論 92 5.5.1辨識指標之場圖呈現及代表意義 93 5.5.2各指標辨識效率之探討 99 5.5.3二維及三維微觀性質比較 100 第六章 結論與展望 102 6.1結論 102 6.2研究展望 104 參考文獻 106 附錄A:高斯積分法(Gauss quadrature) 109 附錄B:布林代數(Boolean Algebra)計算 111 附錄C:PFC2D延伸應用-顆粒材料之入侵顆粒的沉陷探討 116 C.1文獻回顧 116 C.2入侵顆粒的質量對於沉陷深度Zf影響 117 C.3入侵顆粒的數目對於沉陷深度Zf影響 120 C.4結論與改進 125 附錄D: 顆粒材料剪切帶上之能量探討 127 | |
dc.language.iso | zh-TW | |
dc.title | 顆粒材料二維及三維剪切帶之識別 | zh_TW |
dc.title | Identification of two-dimensional and three- dimensional shear bands in granular media | en |
dc.type | Thesis | |
dc.date.schoolyear | 99-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 郭志禹(Chih-Yu Kuo),陳瑞琳(Ruey-Lin Chern) | |
dc.subject.keyword | 顆粒材料,離散元素法,軸向試驗,局部應變化,微連續體力學, | zh_TW |
dc.subject.keyword | Granular materials,Discrete element method(DEM),Axial test,Strain localization,Micro-continuum theory, | en |
dc.relation.page | 128 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2011-08-18 | |
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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