本文使用ABAQUS套裝軟體模擬文獻中以複合材料補強鋼筋混凝土板之模型，以驗證數值分析模式之可靠度。並依據實驗結果在數值模擬程式中加入複合材料應變控制及複合材料粘結層剪應力控制兩個破壞準則，再根據這些破壞準則，中斷數值模擬程式運算，以程式中斷時求得之外力，視為極限載重。本文並研究各種不同補強方式，歸納數值模擬結果，以迴歸方式得到預測補強極限強度的函數，尋求最佳補強方式。

This paper presents a reasonable numerical model for reinforced concrete structures strengthened by FRP. Proper constitutive models are introduced to simulate the nonlinear behaviors of reinforced concrete and FRP. There are two failure criteria to control whether the program should be stopped or not, say FRP strain control and interfacial strength of FRP-to-concrete joint control. The finite element program ABAQUS is used to perform the nonlinear failure analysis of the discussed problems. The validity of the proposed material models and the failure criteria is verified with experimental data and some strengthening schemes are discussed in detail for engineering applications. It has been shown that the use of fiber-reinforced plastics can significantly increase the stiffness as well as the ultimate strengths of reinforced concrete slabs. In addition, a curve fitting function of the numerical results is presented to predict the ultimate strength of the reinforced concrete slabs strengthened with FRP.

[1] 林文賓,"纖維複材疊層板在單軸及雙軸張力載重下之非線性破壞分析",國立成功大學土 木工程研究所博士論文,民國九十年十二月.
[2] 楊朝傑,”碳纖維複合物於RC樓板結構之補強”,國立台灣科技大學營建工程系碩士論文, 民國九十二年七月
[3] Chen, W. F., Plasticity in Reinforced Concrete, First Edition, McGraw-Hill, 1982
[4] Cook, R. D., Malkus D. S. and Plesha, M. E., Concepts and Application of Finite Element Analysis, Fourth Edition, Wiley, New York, 2002.
[5] Chajes, M. J., Finch, W. W., Jr, Januszka, T. F. and Thomson, T. A., “Bond and Force Transfer of Composite Material Plate Bonded to Concrete”, ACI Structural Journal, March-April 1996, pp. 208-217
[6] Gibson, R. F., Principle of composite material mechanics, First Edition, McGraw-Hill, 1994
[7] Hibbitt, Karlsson, and Sorensen, Inc., ABAQUS User and Theory Manuals, Version 5.8, Providence, RI, 2000. Hibbitt, Karlsson, and Sorensen, Inc., ABAQUS User and Theory Manuals, Version 5.8, Providence, RI, 2000.
[8] Hiroyuki, Y. and Wu, Z. “Analysis of debonding fracture properties of CFS strengthened member subject to tension”, Non-Metallic (FRP) Reinforcement for Concrete Structure, Proceedings of the Third International Symposium, Sapporo, Japan, pp. 287-294, 1997
[9] Hu, H.-T. and Schnobrich, W. C., "Nonlinear Analysis of Plane Stress State Reinforced Concrete Under Short Term Monotonic Loading," University of Illinois, Urbana, SRS No. 539, 1988, pp. 27-63
[10] Limam, O., Foret, G. and Ehrlacher, A., “RC two-way slabs strengthened with CFRP strips：experimental study and a limit analysis approach”, Composite Structures 60(2003), pp. 467-471
[11] Mosallam, A. S., "Strengthening of two-way slabs with FRP composite laminates”, Construction and Building Materials. 17 (2003) , pp. 43-54
[12] Park, R. and Gamble W. L., Reinforced Concrete Slabs, Second Edition, John Wiley & Sons, Inc., 2000
[13] Tanaka, T., Shear Resisting Mechanism of Reinforced Concrete Beam with CFC as Shear Reinforcement, Graduation Thesis, Hokkaido University, 1996
[14] Teng, J. G., Chen, J. F., Smith, S. T. and Lam, L., FRP strengthened RC structures, First Edition, Wiley, New York, 2001
[15] Tsai, S. W. and Wu, E. M., “A General Theory of Strength for Anisotropic Materials” ,Journal of Composite material, 5, pp.58-80, 1971