On the finite element modelling of RC beams shear-strengthened with FRP

Abstract A significant number of studies have been conducted on the shear strengthening of reinforced concrete (RC) beams with externally bonded fibre-reinforced polymer (FRP) reinforcement in the forms of strips, plates or sheets. However, most of these studies have been experimentally based and only a very limited amount of research is available on the numerical modelling of such beams using the finite element (FE) method. The lack of in-depth FE studies is chiefly due to the challenging nature of modelling shear cracking in RC beams and the interfaces between different materials. This paper presents the results of a recent study in which an advanced FE model was employed to investigate the effects of different modelling assumptions for the interfaces between concrete and steel stirrups, between concrete and steel tension bars, and between concrete and FRP on the predicted shear behaviour of RC beams shear-strengthened with FRP. It first outlines the FE model followed by a number of numerical examples to validate it. The effect of varying the bond–slip modelling approach for each interface is then investigated to illustrate its significance. The results presented in this paper show that proper modelling of the bond behaviour of all three types of interfaces is essential in order to accurately simulate the shear behaviour of RC beams shear-strengthened with FRP and that the effects of the assumed bond behaviour of steel stirrups or steel tension bars are very complex and need much further research.

[1]  A. Nanni,et al.  BRITTLE FAILURE IN FRP PLATE AND SHEET BONDED BEAMS , 1997 .

[2]  Michael J. Chajes,et al.  Analysis of concrete beams reinforced with externally bonded woven composite fabrics , 1996 .

[3]  G. Monti,et al.  Tests and design equations for FRP-strengthening in shear , 2007 .

[4]  J. Teng,et al.  FRP-to-concrete interfaces between two adjacent cracks: Theoretical model for debonding failure , 2006 .

[5]  Behaviour of FRP-to-concrete interfaces between two adjacent cracks in FRP-plated concrete members: a numerical investigation , 2007 .

[6]  F. Vecchio,et al.  TOWARDS MODELING OF REINFORCED CONCRETE MEMBERS WITH EXTERNALLY BONDED FIBER-REINFORCED POLYMER COMPOSITES , 2003 .

[7]  René de Borst,et al.  Discrete vs smeared crack models for concrete fracture: bridging the gap , 2004 .

[8]  Scott T. Smith,et al.  FRP: Strengthened RC Structures , 2001 .

[9]  L. Bank Composites for Construction: Structural Design with FRP Materials , 2006 .

[10]  Thomas H. Miller,et al.  Finite element modeling of concrete structures strengthened with FRP laminates: final report , 2001 .

[11]  Jin-Guang Teng,et al.  Bond-slip models for FRP sheets/plates bonded to concrete , 2005 .

[12]  O. Chaallal,et al.  SHEAR STRENGTHENING REINFORCED CONCRETE BEAMS WITH FIBER-REINFORCED POLYMER: ASSESSMENT OF INFLUENCING PARAMETERS AND REQUIRED RESEARCH , 2004 .

[13]  Jin-Guang Teng,et al.  Strengthening and rehabilitation of civil infrastructures using fibre-reinforced polymer (FRP) composites , 2008 .

[14]  J. Teng,et al.  Debonding failure along a softening FRP-to-concrete interface between two adjacent cracks in concrete members , 2007 .

[15]  D. Hordijk Local approach to fatigue of concrete , 1991 .

[16]  Z. Bažant,et al.  Fracture and Size Effect in Concrete and Other Quasibrittle Materials , 1997 .

[17]  J. Teng,et al.  Shear Capacity of Fiber-Reinforced Polymer-Strengthened Reinforced Concrete Beams: Fiber Reinforced Polymer Rupture , 2003 .

[18]  Guangming Chen,et al.  Finite element simulation of IC debonding in FRP-plated RC beams: a dynamic approach , 2009 .

[19]  C. Leung,et al.  Effect of Size on the Failure of Geometrically Similar Concrete Beams Strengthened in Shear with FRP Strips , 2007 .

[20]  A. Nanni,et al.  Rehabilitation of rectangular simply supported RC beams with shear deficiencies using CFRP composites , 2002 .

[21]  Zdeněk P. Bažant,et al.  Statistical prediction of fracture parameters of concrete and implications for choice of testing standard , 2002 .

[22]  R. Santhakumar,et al.  Analysis of Retrofitted Reinforced Concrete Shear Beams using Carbon Fiber Composites , 2004 .

[23]  Guangming Chen,et al.  Behaviour and strength of RC beams shear-strengthened with externally bonded FRP reinforcement , 2010 .

[24]  Z. Bažant,et al.  Crack band theory for fracture of concrete , 1983 .

[25]  D. Proverbs,et al.  Finite element modelling of concrete cover separation failure in FRP plated RC beams , 2003 .

[26]  J. Rots Computational modeling of concrete fracture , 1988 .

[27]  S. Foster,et al.  A Smeared — Fixed Crack Model for FE Analysis of RC Membranes Incorporating Aggregate Interlock , 2006 .

[28]  Hajime Okamura,et al.  NUMERICAL SIMULATION OF SIZE EFFECT IN SHEAR STRENGTH OF RC BEAMS , 1997 .

[29]  Luc Taerwe,et al.  Structural behaviour and design of concrete members strengthened with externally bonded FRP reinforcement , 2001 .

[30]  S. Yim,et al.  Finite element modeling of reinforced concrete structures strengthened with FRP laminates : final report. , 2001 .

[31]  Carlo Pellegrino,et al.  Fiber-Reinforced Polymer Shear Strengthening of Reinforced Concrete Beams: Experimental Study and Analytical Modeling , 2006 .

[32]  T. Ueda,et al.  Diagonal Tensile Failure Mechanism of Reinforced Concrete Beams , 2004 .

[33]  I. Elyasian,et al.  EVALUATION OF PARAMETERS EFFECTIVE IN FRP SHEAR STRENGTHENING OF RC BEAMS USING FE METHOD , 2006 .

[34]  Jian Fei Chen,et al.  Finite element modelling of multiple cohesive discrete crack propagation in reinforced concrete beams , 2005 .

[35]  J. Teng,et al.  Shear capacity of FRP-strengthened RC beams: FRP debonding , 2003 .

[36]  J. Teng,et al.  Shear strengthening of RC beams with FRP composites , 2004 .

[37]  Anders Carolin,et al.  Experimental Study of Strengthening for Increased Shear Bearing Capacity , 2005 .

[38]  O. Chaallal,et al.  Behavior of Reinforced Concrete T-Beams Strengthened in Shear with Carbon Fiber-Reinforced Polymer--An Experimental Study , 2006 .

[39]  Jian Fei Chen,et al.  Fully automatic modelling of cohesive discrete crack propagation in concrete beams using local arc-length methods , 2004 .

[40]  L. P. Saenz Discussion of Equation for the Stress-strain Curve of Concrete by Desayi and Krishman , 1964 .

[41]  O. Chaallal,et al.  Mechanisms of Shear Resistance of Concrete Beams Strengthened in Shear with Externally Bonded FRP , 2008 .

[42]  Guangming Chen,et al.  Behavior of RC Beams Shear Strengthened with Bonded or Unbonded FRP Wraps , 2009 .

[43]  Deric J. Oehlers,et al.  Design of FRP and Steel Plated RC Structures: Retrofitting Beams and Slabs for Strength, Stiffness and Ductility , 2004 .

[44]  Zhang Zi-xiao FINITE ELEMENT ANALYSIS OF SHEAR BEHAVIOR OF RC BEAMS STRENGTHENED WITH U-SHAPED FRP SHEETS , 2005 .

[45]  G.M. Chen,et al.  Finite-element modeling of intermediate crack debonding in FRP-plated RC beams , 2011 .

[46]  Wai-Fah Chen Plasticity in reinforced concrete , 1982 .

[47]  F. J. Vecchio,et al.  Analysis of Repaired Reinforced Concrete Structures , 1999 .

[48]  K. Maekawa,et al.  Nonlinear mechanics of reinforced concrete , 2003 .

[49]  Pierre Labossière,et al.  Numerical Modeling of FRP Shear-Strengthened Reinforced Concrete Beams , 2007 .

[50]  NUMERICAL MODELING OF FRP SHEAR STRENGTHENED RC BEAMS USING COMPRESSION FIELD THEORY , 2006 .