Bond stress and slip modeling in nonlinear finite element analysis of reinforced concrete structures

The stress transfer behavior between reinforcing steel and surrounding concrete through bond and slip plays an important role in the response of reinforced concrete structures, especially in their hysteretic response. This thesis studies the bond-slip relationship under both rnonotonic loading and cyclic loading. Two types of bond elements, contact elements and linkage elements, are developed and bond stiffness matrices are derived. Four bond-slip models are presented based on the findings of previous experimental studies. The degradation of bond resistance is included in the bond-slip models. The two bond elements and four bond-slip models are added into the nonlinear finite element program TRIX99. The finite element models are then used to study the behavior of reinforced concrete walls subjected to cyclic lateral load. The accuracy of the models are assessed by cornparison of the finite element numerical response with experimental data fiom four reinforced concrete shear walls tested under cyclic loading. The NLFEA prograrn with the nonlinear material models for concrete, reinforcing bar and bond-slip is capable of reproducing the important features of the measured Iiysteretic response of reinforced concrete walls with a variety of cyclic loading histones and configurations of walls. The prograrn is able to successfully predict the load-deflection values of the reinforced concrete structures under cyclic loading. The proposed finite element method provides an efficient method for evaluating the rnonotonic and cyclic response of the reinforced concrete structures.

[1]  Arthur H. Nilson.  Nonlinear Analysis of ReinforcedConcrete by the Finite Element Method , 1968 .

[2]  Filip C. Filippou,et al.  Evaluation of Nonlinear Frame Finite-Element Models , 1997 .

[3]  David Z. Yankelevsky,et al.  Bond Action Between Concrete and a Deformed Bar - A New Model , 1985 .

[4]  Charles K. Kankam,et al.  RELATIONSHIP OF BOND STRESS, STEEL STRESS, AND SLIP IN REINFORCED CONCRETE , 1997 .

[5]  R. Park,et al.  Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates , 1982 .

[6]  Alex C. Scordelis,et al.  Past, Present and Future Developments , 1986 .

[7]  David Z. Yankelevsky.  New Finite Element for Bond‐Slip Analysis , 1985 .

[8]  Jiakui Chen,et al.  Bond-Slip and Crack Width Calculations of Tension Members , 1988 .

[9]  Michael J. Chajes,et al.  Bond and Force Transfer of Composite-Material Plates Bonded to Concrete , 1996 .

[10]  Antoine E. Naaman,et al.  Bond Stress-Slip Response of Reinforcing Bars Embedded in FRC Matrices under Monotonic and Cyclic Loading , 1997 .

[11]  Antoine E. Naaman,et al.  Fiber Pullout and Bond Slip. II: Experimental Validation , 1991 .

[12]  M R Salami,et al.  INTERFACIAL STRAIN ENERGY RELEASE RATE OF FIBER REINFORCED CONCRETE BASED ON BOND STRESS-SLIP RELATIONSHIP , 1990 .

[13]  Vitelmo V. Bertero,et al.  Local bond stress-slip relationships of deformed bars under generalized excitations , 1982 .

[14]  P. Gergely,et al.  Mechanics of Bond and Slip of Deformed Bars in Concrete , 1967 .

[15]  S Soretz,et al.  INFLUENCE OF RIB DIMENSIONS OF REINFORCING BARS ON BOND AND BENDABILITY , 1979 .

[16]  A D Edwards,et al.  LOCAL BOND-STRESS TO SLIP RELATIONSHIPS FOR HOT ROLLED DEFORMED BARS AND MILD STEEL PLAIN BARS , 1979 .

[17]  Arthur H. Nilson,et al.  INTERNAL MEASUREMENT OF BOND SLIP , 1972 .

[18]  F. Filippou,et al.  MIXED FORMULATION OF BOND-SLIP PROBLEMS UNDER CYCLIC LOADS , 1999 .

[19]  Zorislav Soric,et al.  Bond Stress/Deformation in Pull‐Out Masonry Specimens , 1989 .

[20]  R. Park,et al.  Flexural Members with Confined Concrete , 1971 .

[21]  B. V. Rangan,et al.  Bond between Normal Strength and High-Strength Concrete (HSC) and Reinforcing Bars in Splices in Beams , 1998 .

[22]  Antoine E. Naaman,et al.  Fiber Pullout and Bond Slip. I: Analytical Study , 1991 .

[23]  S. Wood,et al.  Influence of web reinforcement on the cyclic response of structural walls , 1995 .

[24]  W. C. Schnobrich,et al.  Finite Element Analysis of Reinforced Concrete , 1973 .

[25]  D. Ngo,et al.  Finite Element Analysis of Reinforced Concrete Beams , 1967 .

[26]  K. T. Sundara Raja Iyengar,et al.  Elasto-Plastic Cracking Analysis of Reinforced Concrete , 1988 .

[27]  S. Somayaji,et al.  Bond Stress Versus Slip Relationship and Cracking Response of Tension Members , 1981 .

[28]  G. Mehlhorn,et al.  BOND BETWEEN PRESTRESSED STEEL AND CONCRETE - COMPUTER ANALYSIS USING ADINA , 1983 .

[29]  B. Ayyub,et al.  Bond Strength of Welded Wire Fabric in Concrete Bridge Decks , 1994 .

[30]  William C. Schnobrich,et al.  The Role of Finite Element Analysis of Reinforced Concrete Structures , 1986 .

[31]  Denis Mitchell,et al.  Simulation of Uniform Bond Stress , 1992 .

[32]  Ervin S. Perry,et al.  Bond Stress Distribution on Reinforcing Steel in Beams and Pullout Specimens , 1966 .

[33]  Vitelmo V. Bertero,et al.  Analytical Studies of Hysteretic Behavior of R/C Joints , 1986 .

[34]  W. K. Tso,et al.  NONLINEAR ANALYSIS OF CYCLICALLY LOADED REINFORCED CONCRETE STRUCTURES , 1998 .

[35]  Gaetano Zingone,et al.  Analytical Solution for Bond‐Slip of Reinforcing Bars in R.C. Joints , 1990 .

[36]  Giorgio Monti,et al.  FINITE ELEMENT FOR ANCHORED BARS UNDER CYCLIC LOAD REVERSALS , 1997 .

[37]  Manfred Keuser,et al.  Finite Element Models for Bond Problems , 1987 .

[38]  Victor E. Saouma,et al.  Fracture Mechanics of Bond in Reinforced Concrete , 1984 .

[39]  Parviz Soroushian,et al.  LOCAL BOND OF DEFORMED BARS WITH DIFFERENT DIAMETERS IN CONFINED CONCRETE , 1989 .

[40]  M H Harajli,et al.  SLIP OF STEEL BARS IN CONCRETE JOINTS UNDER CYCLIC LOADING , 1988 .

[41]  Peter F. Dux,et al.  Closure of "Crack Band Based Model for FEM Analysis of Concrete Structures" , 1990 .

[42]  B. V. Rangan,et al.  LOCAL BOND STRENGTH OF REINFORCING BARS IN NORMAL STRENGTH AND HIGH-STRENGTH CONCRETE (HSC) , 1998 .

[43]  T. P. Tassios,et al.  Local Bond-Slip Relationships by Means of the Moire Method , 1984 .

[44]  Sakul Pochanart,et al.  BOND-SLIP MODEL FOR GENERALIZED EXCITATIONS INCLUDING FATIGUE , 1989 .

[45]  Frank J. Vecchio,et al.  Finite Element Modeling of Concrete Expansion and Confinement , 1992 .

[46]  S. Mirza,et al.  Study of Bond Stress-Slip Relationships in Reinforced Concrete , 1979 .

[47]  Atorod Azizinamini,et al.  Bond Performance of Reinforcing Bars Embedded in High-Strength Concrete , 1993 .

[48]  Frank J. Vecchio.  TOWARDS CYCLIC LOAD MODELING OF REINFORCED CONCRETE , 1999 .

[49]  Rolf Eligehausen,et al.  Bond of ribbed bars under high cycle repeated loads , 1979 .