含磚牆非韌性RC構架之數值模擬

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黃旭輝(Shi-Hui Huang) 查詢紙本館藏

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論文名稱

含磚牆非韌性RC構架之數值模擬
(Numerical Simulations of Non-ductile Reinforced Concrete Frames with In-filled Brick Panel)

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摘要(中)

台灣地區存在許多磚造或加強磚造RC 結構，由於地震科學不斷演進，使得這些依據老舊規範所設計的結構多不能滿足現階段耐震規範。由結構安全及耐久性的角度觀之，這些耐震能力不足的結構應予以進行適當之補強。含磚牆RC 結構在地震力作用之下為一複雜之非線性力學行為。在發展含磚牆RC 結構工法及規範的過程中，一般採用實驗及數值模擬二種方式進行之。
本研究嘗試利用不連續變形分析法(DDA)和有限元素法(FEM)的結合，發展一個二維含磚牆RC 結構動態非線性行為的數值分析程序。在數值模擬方式上，混凝土、磚塊與水泥砂漿採用二維有限元素單元，鋼筋採用一維桁架單元，磚塊與水泥砂漿間粘結介面則是採用介面元素。在材料模型的選擇中，混凝土採用非線性彈性模型加以描述混凝土在加卸載過程中的非線性行為，鋼筋使用? 折線理想彈塑性模型。此外採用分佈裂縫模型與損傷理論並配合各材料的破壞準則，模擬各元素產生開裂後的力學行為。
以一分析程序的功能與合理性，透過一系列數值算例並和實驗結果之比較進行驗證。其中RC 構架所計算出來的遲滯迴圈有助於提供地震分析與結構設計時的輔助工具。

摘要(英)

The behaviors of reinforced concrete (RC)
structures containing brick wall under earthquake loading are quite complicated. It is very difficult to analyze the problem analytically. Experiment and numerical simulation are two possible solutions to extract reference information for the development of design code.
However, the experimental approach requires much effort and expense to built very limited number of specimens to explore the behaviors of RC structures. The main advantage of using numerical simulation code to study the structural problem is that any detail response of the system can be detected easily from the calculated data.
In this study, a computation code is developed to simulate the nonlinear dynamic behaviors of RC structure containing brick walls. Both the finite element method (FEM) and the discontinuous deformation analysis (DDA) were adopted to built up the numerical analysis procedure. Two-dimensional solid elements are used to model the concrete and brick and mortar materials and truss elements are used to model the reinforcement. The joint effect between the mortar and brick is modeled by joint element. The elastic-plastic response of reinforcement is considered in the
analysis. An equivalent strain model that can characterize the nonlinear loading and unloading behavior of concrete material is applied. To simplify the analysis of cracked elements, the smear crack model and associated damage theories were used for the material points satisfying failure criteria.
The accuracy and effectiveness of this newly developed simulation code were verified by the matching between numerical prediction and experimental result of various cases. The hysteresis load-displacement response for a RC frame can be calculated that is very helpful for the seismic analysis and retrofitting design.

關鍵字(中)

★ 有限元素法
★ 不連續變形分析法
★ 鋼筋混凝土
★ 磚
★ 分布裂縫模型

關鍵字(英)

★ discontinuous deformation analysis
★ Finite element
★ reinforcement

論文目次

IV
中文摘要................................................................... I
英文摘要................................................................... II
致謝....................................................................... III
目錄....................................................................... IV
表目錄......................................................................VII
圖目錄..................................................................... VIII
第一章緒論..................................................................1
1-1 研究動機與目的......................................................1
1-2 文獻回顧............................................................2
1-3 研究方法與內容......................................................5
1-4 論文內容............................................................5
第二章不連續變形分析法......................................................7
2-1 前言................................................................7
2-2 不連續變形分析法(DDA) ..............................................7
2-3 有限元素法和不連續變形分析的比較....................................9
2-4 塊體細分有限元與塊體接觸判斷........................................10
第三章鋼筋混凝土分析模型....................................................13
3-1 前言................................................................13
3-2 混凝土材料模型......................................................13
3-2-1 混凝土? 向受力下應力-應變關係式.................................13
3-2-2 混凝土反覆加載下應力-應變關係曲線.............................. 16
3-2-3 混凝土? 向受力下的破壞準則......................................21
3-2-4 開裂混凝土單元處理..............................................22
3-2-5 混凝土開裂後的剪切模量..........................................23
3-3 鋼筋模型............................................................24
3-3-1 鋼筋單元........................................................24
3-3-2 反覆荷載下鋼筋應力-應變關係.................................... 25
第四章磚牆分析模型..........................................................30
4-1 前言................................................................30
4-2 粘結介面之分析模型..................................................30
4-2-1 單元勁度矩陣....................................................31
4-2-2 初始力引起的節點荷載............................................34
4-3 磚牆破壞準則與破壞後處理........................................... 35
4-3-1 水泥砂漿與紅磚的材料性質與破壞後處理........................... 35
4-3-2 粘結介面的破壞準則與破壞後處理................................. 36
第五章數值結果與討論....................................................... 38
5-1 前言............................................................... 38
5-2 鋼筋混凝土簡支梁模擬驗證........................................... 38
5-2-1 無腹筋鋼筋混凝土簡支梁模擬..................................... 38
5-2-2 含腹筋鋼筋混凝土簡支梁模擬..................................... 40
5-3 非韌性RC 構架力學行為模擬...........................................41
5-3-1 受單向荷載之非韌性RC 構架力學行為模擬...........................42
5-3-2 受反覆荷載之非韌性RC 構架力學行為模擬...........................43
5-4 磚牆力學行為模擬................................................... 44
5-4-1 全磚牆力學行為模擬............................................. 44
5-4-2 全磚牆開窗力學行為模擬..........................................45
5-4-3 全磚牆開門力學行為模擬......................................... 46
5-5 含磚牆非韌性RC 構架力學行為模擬.................................... 46
5-5-1 全高磚牆非韌性RC 構架力學行為模擬.............................. 47
5-5-2 半高磚牆非韌性RC 構架力學行為模擬.............................. 48
5-5-3 全高開窗磚牆非韌性RC 構架力學行為模擬.......................... 48
5-5-4 全高開門磚牆非韌性RC 構架力學行為模擬.......................... 49
第六章結論與建議............................................................50
6-1 結論................................................................50
6-2 建議............................................................... 51
附錄A 彈性矩陣的轉換........................................................105
附錄B 數值分析流程圖........................................................107
附錄C 數值分析時反覆荷載之施加流程..........................................108
附錄D 接觸處理原理..........................................................110
參考文獻....................................................................117

參考文獻

參考文獻
1. Burns, N.H., and Siess, C.P., "Load-Deformation Characteristics of
beam-Column Connections in Reinforced Concrete," Civil Engineering
Studies, SRS No. 234, University of Illinois, Urbana, 1962.
2. Smith, B.S., "Lateral Stiffness of Infilled Frames ", Journal of the
Structural Division, ASCE, 88(6), 183-199, 1962.
3. Saenz, L.P., "Discussion of Equation for the Stress-Strain Curve of
Concrete - by P. Desay and S. Krishan," ACI J., 61(9), 1229-1235, 1964.
4. Sinka, B.P., Gerstle, K.H., abd Tulin, L.G., "Stress-Strain Relaction for
Concrete Under Cyclic Loading," ACI J., 61(2), 195-211, 1964.
5. Kemp, K.O., "The Yield Criterion for Orthotropically Reinforced
Concrete Slabs," International Journal of Mechanical Sciences, Vol.7,
737-746, 1965.
6. Rosenhaupt, S., and Sokal, Y., "Masonry Walls on Continuous Beams," J.
Struct. Div., ASCE, 91(1), 155-171, 1965.
7. Ngo, D., and Scordelis, A.C., "Finite Element Analysis of Reinforced
Concrete Beams," ACI J., 64(3), 152-163, 1967.
8. Robinson, G.S., "Behavior of Concrete in Biaxial Compression," J.
Struct. Div., ASCE, 93(1), 71-86, 1967.
9. Nilson, A.H., "Nonlinear Analysis of Reinforced Concrete by the Finite
Element Method," ACI J., 65(9), 757-766, 1968.
10. Goodmam, R.E., Taylor, R.L., and Brekke, T.L., "A Model for the
Mechanics of Jointed Rock," Journal of the Soil Mechanics and
Foundations Division, ASCE, 94(3), 637-659, 1968.
11. Kupfer H.B., Hilsdorf H.K., and Rusch, H., "Behavior of Concrete Under
Biaxial Stresses," ACI J. , 66(8), 656-666, 1969.
12. Isenberg, J., and Adham, S., "Analysis of Orthotropic Reinforced
Concrete Structures," J. Struct. Eng. Div., ASCE, 96(12), 2607-2624,
1970.
13. Mufti, A.A., Mirza, M.S., McCutcheon, J.O., and Houde, J., "A Study of
the Behavior of Reinforced Concrete Element ", Struct. Concrete Series,
No. 70-5, McGill University,1970.
14. Liauw, T.C., "An Approximate Method of Analysis for Infilled Frames
with or without Opening ", Build Sci, Vol.7,233-238, 1972.
15. Liu, T.C. Y., Nilson, A.H., and Slate, F. O., "Stress-Strain Response and
Fracture of Concrete in Uniaxial and Biaxial Compression," ACI J.,
69(5), 291-295, 1972.
16. Liu, T.C.Y., Nilson, A.H., and Slate, F.O., "Bixial Stress-Strain
Relactions of Concrete," J. Struct. Div., 98(5), 1025-1034, 1972.
17. Hand, F.R., Pecknold, D.A., and Schnobrich, W. C., "Nonlinear Layered
Analysis of RC Plates and Shells," J. Struct. Div., 99(7), 1491-1505,
1973.
18. Kupfer, H.B., and Gerstle, K.H., "Behavior of Concrete Under Biaxial
Stresses," J. Eng. Mech. Div., ASCE, 99(4), 852-866, 1973.
19. Darwin, D., and Pecknold, D.A., "Inelastic Model for Cyclic Biaxial
Loading of Reinforced Concrete," Civil Engineering Studies, SRS No.
409, University of Illinois, Urbana, I11, July, 1974.
20. Romstad, K.M., Taylor, M.A., and Herrmann, L.R., "Numerical Biaxial
Characterization for Concrete," J. Eng. Mech. Div., ASCE, 100(5),
935-948, 1974.
21. Darwin, D., and Pecknold, D.A., " Nonlinear Biaxial Law for Concrete ,"
J. Struct. Div., 103(2), 255-369, 1976.
22. Darwin, D., and Pecknold, D.A., "Analysis of Cyclic Loading of Plane
RC Structures," Comp. Struct., Vol.7, 137-147,1977.
23. Darwin, D, and Pecknold, D.A., "Nonlinear Biaxial Stress-Strain Law for
Concrete," J. Eng. Mech, ASCE, 103(2), 229-241, 1977.
24. Kotsovos, M.D., and Newmam, J.B., "Behavior of Concrete Under
Multiaxial Stress," ACI J., 74(9), 443-446, 1977.
25. Bashur, F.K. , and Darwin, D., " Analysis of RC Shear Panels Under
Cyclic Loading, " J. Struct. Div., ASCE, 104(1), 157-170. 1978.
26. Elwi, A.A., and Murray, D.W., "A 3D Hypoelastic Concrete Constitutive
Relationship," ASCE, 105(4), 623-641. 1978.
27. Page, A.W., "Finite Element Model for Masonry," American Society of
Civil Engineers, 104(ST8), 1267-1285, 1978.
28. Bathe, K.J., "On the Three-Dimensional Nonlinear Analysis of Concrete
Structures," Nuclear Eng. Des., 52(3), 385-409, 1979.
29. Al-Mabaidi, "Nonlinear Finite Element Analysis of Reinforced Concrete
Deep Members ", Research Report No.79-1, Dept. of Structure
Engineering, Cornell University, January 1979.
30. Viwathanapeta, S., Popov, E.P. , and Bertero, V.V., "Effects of
Generalized Loadings on Bond of Reinforcing Bar Embedded in
Confined Concrete Blocks," EECR 79-22, Earthquake Engineering
Research Center, University of California, Berkeley.
31. Page, A.W., "A Biaxial Failure Criterion for Brick Masonry in the
Tension-Tension range," Int. J. Masonry Constr., 1(1), 26-29, 1980.
32. Page, A.W., "The Bixial Compressive Strength of Brick Masonry," Proc.
Instn. of Civ. Eng., Part 2, 893-906, 1981.
33. Shirai, N., and Sato., T., "Inelastic Analysis of Reinforced Concrete
Shear Wall Structures Material Modeling of Reinforced Concrete,"
IABSE Colloquium, Delft, 1981.
34. Chen, W.F., "Plasticity in Reinforced Concrete," New York,
McGraw-Hill Book Company, 1982.
35. Bazant, Z.P., "Comment on Orthotropic Models for Concrete and
Geomaterials ," J. Eng. Mech., ASCE, 109(3), 846-865, 1983.
36. Bedard, C., and Kotsovos, M.D., "Fracture Processes of Concrete for
NLEFA Methods," J. Struct. Eng., 112(3), 1984.
37. 陳清泉，高健章，蔡益超，陳國顯，「紅磚與磚牆力學特性之試驗
研究」，行政院國家科學委員會，防災科技研究報告73-12 號，
NSC73-0414-P002-07，1984.
38. Ail, S., and Page., A.W., "An Elastic Analysis of Concentrated Loads on
Brickwork," Masonry int., 6, 9-21, 1985.
39. Cervenka, V., "Constitutive Model for Cracked Reinforced Concrete,"
ACI J., 11(2), 877-882, 1985.
40. Chen, E.S., and Buyukozturk, O. "Constitutive Model for Concrete in
Cyclic Compression," J. Struct. Eng., 111(6), 797-814, 1985.
41. Dhanasekar, M., Kleeman, P.W., and Page., A.W., "Biaxial Stress-Strain
Relations for Brick Masonry," J. Struct. Eng., ASCE, 111(5), 1085-1110,
1985.
42. Dhanasekar, M., Kleeman, P.W., and Page., A.W., "The Failure of Brick
Masonry Under Biaxial Stresses," Proc. Instn. of Civ. Eng., Part 2,
London, 79, 295-313, 1985.
43. van Mier, J.G.M., "Influence of Damage Orientation Distribution on the
Multiaxial Stress Strain Behavior of Concrete," Cement and Concrete
Res., 15(5), 849-862, 1985.
44. Ail, S., and Page, A.W., "A Failure Criterion for Mortar Joints in
Brickwork Subjected to Combined Shear and Tension," Masonry int., 9,
43-54, 1986.
45. Inoue, N.,and Noguchi, H., "Finite Element Analysis of Reinforced
Concrete in Japan, Finite Element Analysis of Reinforced Concrete
Structures, " ASCE, 1986.
46. Scordelis, A.C. Past, "Present and Future Development, Finite Element
Analysis of Reinforced Concrete Structure, " ASCE, 1986.
47. 高健章，陳清泉，蔡益超，「磚造加強之鋼筋混凝土構架耐震能力
試驗研究（二）」，行政院國家科學委員會，防災科技研究報告74-31
號，NSC74-0414-P002-09，1986.
48. Yankelevsky, D.Z., and Reinhardt, H.W., "Model for Cyclic
Compressive Behavior of Concrete," J. Struct. Eng, ASCE, 113(2),
288-240, 1986.
49. Ali, S.S., and Page, A.W., "Finite Element Model for Masonry Subjected
to Concentrated Loads ," J. Struct. Eng., ASCE, 114(8), 1761-1784,
1988.
50. Balakrishnan, S., and Murray, D., "Concrete Constitutive Model for
NLFE Analysis of Structures," J. Struct. Eng., ASCE, 114(7), 1449-1466,
1988.
51. Biolz, L., "Evaluation of Compressive Strength of Masonry Walls by
Limit Analysis, " J. Struct. Eng., 114(10), 2179-2189, 1988.
52. Shi, G.H., "Discontinuous Deformation Analysis: A new Numerical
model for the Statics and Dynamics of Block Systems," PhD dissertation,
Dept. of Civ. Eng., University of California, Berkeley, Calif, 1988.
53. Soroushian, P., Obaseki, K., and Choi, K.B., "Nonlinear Modeling and
Seismic Analysis of Masonry Shear Walls," J. Struct. Eng., 114(5),
1106-1119, 1988.
54. Atkinson, R.H., Amadie, B.P., Saeb, S., and Sture, S., "Response of
Masonry Bed Joints in Direct Shear," J. Struct. Eng., 115(9), 2276-2296,
1989.
55. Naraine, K., and Shina, S.N., "Behaviour of Brick Masonry Under Cyclic
Compressive Loading," J. Struct. Eng., ASCE, 115(6), 1432-1445, 1989.
56. Oliver, J., "A Consistent Characteristic Length of Smeared Cracking
Models," Int. J. Numer. Meth. Eng., 28, 461-474, 1989.
57. Haddad, M.H.El, " Finite Element Analysis of Infilled Frames
Considering Cracking and Separation Phenomena ", Comp. Struct., 41(3),
pp. 439-447, 1991.
58. Lotfi, H.R., and Shing, P.B., "An appraisal of Smeared Crack Models for
Masonry Shear Wall Analysis," Comp. and Struct., 41(3), 413-425, 1991.
59. May, I.M., and Naji, J.H., "Nonlinear aAnalysis of Infilled Frames Under
Monotonic and Cyclic Loading," Comp. and Struct., 38(2), 149-160,
1991.
60. Naraine, K., and Sinha, S.N., "Stress-Strain Curves for Brick Masonry in
Biaxial Compression," J. Struct. Eng., ASCE, 118(6), 1451-1461, 1992.
61. 沈聚敏，王傳志，王見鯨，鋼筋混凝土有限元與板殼極限分析，清
華大學出版社，北京，中國，pp. 197-199，1993.
62. Lofti, H.R., and Shing, P.B., "Interface Model Applied to Fracture of
Masonry Structures," J. Struct. Eng., ASCE, 120(1), 63-80, 1994.
63. Mehrabi, A.B., Shing, P.B., Schuller, M. P., Noland, J. L., "Experimental
Evaluation of Masonry-Infilled RC Frames," J. Struct. Eng., 122(3),
228-237, 1996.
64. Schnobrich, W.C., "Behavior of Reinforced Concrete Members by Finite
Element," Keynote Lecture, Proceedings of The Third Asia-Pacific
Conference on Computational Mechanics, Vol.1, Sept. 1996.
65. Spacone, S. , Filippou, F.C., and Taucer, F.F., "Fiber Beam-Column
Model for Non-Linear Analysis of RC Frames: Part I. formulation,"
Earthquake eng. Struct. Dyn., 25, 711-725, 1996.
66. 吳曉西，呂西林，反覆荷載下混凝土剪力牆非線性有限元分析，同
濟大學學報，26(1) ，1996.
67. Balan, T.A., Folippou, F.C., and Popov, E.P., "Constitutive Model for 3D
Cyclic Analysis of Concrete Structures," J. Eng. Mech, ASCE, 123(2),
143-53, 1997.
68. Bouzaiene, A., Massicotte, B., "Hypoelastic Tridimensional Model for
Nonproportional Loading of Plain Concrete," J. Eng. Mech., ASCE,
123(11), 1111-1120, 1997.
69. 曾志成，「磚牆結構不連續變形之數值模擬」，博士論文，國立成
功大學土木工程研究所，1998.
70. Chiou, Y.J., Tzeng, J.C., and Liou, Y.W., "Experimnetal and Anaylsis
Study of Masonry Infilled Frames," J. Struct. Eng., ASCE, 125(10),
1109-1117, 1998.
71. Lourenco, P.B., and Rots, J.G., and Blaauwendraad, J., "Continuum
Model for Masonry: Parameter estimation and validation," J. Struct. Eng.,
ASCE, 124(6), 642-652, 1998.
72. AlShebani, M.M., and Sinha S.N., "Stress-Strain Characteristics of Brick
Masonry Under Uniaxial Cyclic Loading," J. Struct. Eng., 125(6),
600-604, 1999.
73. Baqi, A., Bhandari, N.M., and Trikha, D.N., "Experimental Study of
Prestressed Masonry Flexural Elements," J. Struct. Eng., ASCE, 125(3),
245-254, 1999.
74. Buonopane, S.G., Menmber, A., and White, R.N., "Pseudodynamic
Testing of Masonry Infilled Reinforced Concrete Frame," J. Struct. Eng.,
ASCE, 125(6), 578-589, 1999.
75. 莊清鏘，「二維可變形分離塊體的動、靜態模擬」，博士論文，國
立中央大學土木工程研究所，1999.
76. Alshebani, M.M., and Sinha, S.N., "Stress-Strain Characteristic of Brick
Masonry Under Cyclic Biaxial Compression," J. Struct. Eng., 126(9),
1004-1007, 2000.
77. Lourenco, P.B., "Anisotropic Softening Model for Masonry Plates and
Shells," J. Struct. Eng., 126(9), 1008-1016, 2000.
78. Balan, T.A., Enrico, S., Minho , K., "A 3D Hypoplastic Model for Cyclic
Analysis of Concrete Structures," J. Eng. Struct., 23, 333-342, 2001.
79. 鄧福勝，，「含磚牆鋼筋混凝土結構非線性行為之數值模擬」，碩
士論文，國立中央大學土木工程研究所，2001.
80. Ma, G., Hao, H., and Lu.,Y., "Homogenization of Masonry Using
Numerical Simulations," J. Eng. Mech., 127(5), 421-431, 2001.
81. Bicanic, N., Stirling, C., Pearce, C.J., "Discontinuous Modeling of
Structural Masonry," Comp. Mech., 2002.
82. Ghassan, A.C., Mohsen, I., and Steve, S., "Behavior of Masonry-Infilled
Nonductile Reinforced Concrete Frames," J. Struct. Eng., 128(8),
1055-1063, 2002.
83. Kwak, H.G., and Kim, S.P., "Nonlinear Analysis of RC Beam Based on
Moment-Curvature Relation," Comp. Struct., 80, 615-628, 2002.
84. 蔡驥鑫，「含磚牆非韌性RC 構架之耐震行為分析」，碩士論文，國
立台北科技大學土木與防災研究所，國家地震中心，2002.
85. 陳軒弘，「含磚鋼筋混凝土結構貼覆FRP 補強之相關材料參數測
定」，碩士論文，國立中央大學土木工程研究所，2002.

指導教授

王仲宇(Chung-Yue Wang)

審核日期

2003-7-11

推文