SEISMIC RETROFITTING TECHNIQUE USING CARBON FIBERS FOR REINFORCED CONCRETE BUILDINGS



Similar documents
Chapter 5 Bridge Deck Slabs. Bridge Engineering 1

Experimental assessment of concrete damage due to exposure to high temperature and efficacy of the repair system

ASSESSMENT AND PROPOSED STRUCTURAL REPAIR STRATEGIES FOR BRIDGE PIERS IN TAIWAN DAMAGED BY THE JI-JI EARTHQUAKE ABSTRACT

Fire-Damage or Freeze-Thaw of Strengthening Concrete Using Ultra High Performance Concrete

USE OF CFRP LAMINATES FOR STRENGTHENING OF REINFORCED CONCRETE CORBELS

SEISMIC RETROFITTING OF EARTHQUAKE-DAMAGED CONCRETE COLUMNS BY LATERAL PRE-TENSIONING OF FRP BELTS. K. Nasrollahzadeh Nesheli 1 and K.

BEHAVIOR OF SHORT CONCRETE COLUMNS REINFORCED BY CFRP BARS AND SUBJECTED TO ECCENTRIC LOAD

APE T CFRP Aslan 500

Methods for Seismic Retrofitting of Structures

Numerical modelling of shear connection between concrete slab and sheeting deck

Hardened Concrete. Lecture No. 14

Draft Table of Contents. Building Code Requirements for Structural Concrete and Commentary ACI

REVISION OF GUIDELINE FOR POST- EARTHQUAKE DAMAGE EVALUATION OF RC BUILDINGS IN JAPAN

SEISMIC DESIGN. Various building codes consider the following categories for the analysis and design for earthquake loading:

ANALYSIS FOR BEHAVIOR AND ULTIMATE STRENGTH OF CONCRETE CORBELS WITH HYBRID REINFORCEMENT

(1) Minami Nagamachi and Naka Nagamachi viaducts between Shiraishi Zao and Sendai Stations on the Tohoku Shinkansen line

Current Status of Seismic Retrofitting Technology

ICS: Strengthening retrofitting of reinforced concrete structures by gluing of fibre reinforced polymeric fabrics (FRP fabrics)

1.054/1.541 Mechanics and Design of Concrete Structures (3-0-9) Outline 1 Introduction / Design Criteria for Reinforced Concrete Structures

The Original Carbon Fiber Reinforced Polymer System

REPAIR AND STRENGTHENING OF HISTORICAL CONCRETE BRIDGE OVER VENTA RIVER IN LATVIA

SEISMIC DESIGN OF HIGHWAY BRIDGES

SEISMIC UPGRADE OF OAK STREET BRIDGE WITH GFRP

DEVELOPMENT OF A NEW TEST FOR DETERMINATION OF TENSILE STRENGTH OF CONCRETE BLOCKS

Seismic Retrofit of Reinforced Concrete Beam- Column T-Joints in Bridge Piers with FRP Composite Jackets

REHABILITATION OF THE FIGUEIRA DA FOZ BRIDGE

Shear Strengthening. Sika CarboDur Composite Systems

In-situ Load Testing to Evaluate New Repair Techniques

STRENGTHENING AND LOAD TESTING OF THREE BRIDGES IN BOONE COUNTY, MO

Basics of Reinforced Concrete Design

Evaluation of the Seismic Performance of Brick Walls Retrofitted and Repaired by Expansive Epoxy Injection

Structural Integrity Analysis

The International Journal Of Science & Technoledge (ISSN X)

Analysis and Repair of an Earthquake-Damaged High-rise Building in Santiago, Chile

REPAIR AND RETROFIT OF BRIDGES DAMAGED BY THE 2010 CHILE MAULE EARTHQUAKE

SEISMIC CAPACITY OF EXISTING RC SCHOOL BUILDINGS IN OTA CITY, TOKYO, JAPAN

SEISMIC RETROFITTING OF STRUCTURES

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES OUTCOME 2 ENGINEERING COMPONENTS TUTORIAL 1 STRUCTURAL MEMBERS

Use of Strain Gauge Rosette to Investigate Stress concentration in Isotropic and Orthotropic Plate with Circular Hole

CARBON/DYNEEMA INTRALAMINAR HYBRIDS: NEW STRATEGY TO INCREASE IMPACT RESISTANCE OR DECREASE MASS OF CARBON FIBER COMPOSITES

Repair of Fatigued Steel Bridge Girders with Carbon Fiber Strips

Detailing of Reinforcment in Concrete Structures

REFORTEC REPAIR AND STRENGTHENING OF STRUCTURES WITH HIGH PERFORMANCE CONCRETE

Modern Codes for Design of Concrete Concrete Structures Presentation Outline

NONLINEAR BEHAVIOR AND FRAGILITY ASSESSMENT OF MULTI-STORY CONFINED MASONRY WALLS UNDER CYCLIC LOADS

beams columns blast walls slabs pipes protective coatings polymer concrete Solutions Looking for Problems...

Seismic performance evaluation of an existing school building in Turkey

EVALUATION OF SEISMIC RESPONSE - FACULTY OF LAND RECLAMATION AND ENVIRONMENTAL ENGINEERING -BUCHAREST

Seismic Isolation Retrofitting of Japanese Wooden Buildings

THE EFFECT OF STIRRUPS AND HOOKED STEEL FIBERS INSTEAD ON MOMENT-ROTATION CAPACITY OF BEAM-COLUMN CONNECTIONS

Seismic Risk Prioritization of RC Public Buildings

CFRP STRENGTHENING OF CIRCULAR CONCRETE SLAB WITH AND WITHOUT OPENINGS

fib Bulletin 39, Seismic bridge design and retrofit structural solutions: Colour figures

SEISMIC RETROFIT DESIGN CRITERIA

MODELLING OF AN INFILL WALL FOR THE ANALYSIS OF A BUILDING FRAME SUBJECTED TO LATERAL FORCE

Rehabilitation of Unreinforced Brick Masonry Walls Using Composites

Miss S. S. Nibhorkar 1 1 M. E (Structure) Scholar,

Composite Design Fundamentals. David Richardson

Optimum proportions for the design of suspension bridge

Strengthening of Large Storage Tank Foundation Walls in an Aggressive Environment by External Post-tensioning. May 7th 2013: Dominique Deschamps

Technical Notes 3B - Brick Masonry Section Properties May 1993

Chapter. Earthquake Damage: Types, Process, Categories

CRACK DETECTION METHODS USING RADIO FREQUENCY IDENTIFICATION AND ELECTRICALLY CONDUCTIVE MATERIALS

Reinforced Concrete Design

Design of reinforced concrete columns. Type of columns. Failure of reinforced concrete columns. Short column. Long column

Important Points: Timing: Timing Evaluation Methodology Example Immediate First announcement of building damage

ENGINEERING SPECIFICATION PULTRUDED DYNARAIL FIBERGLASS LADDER & LADDER CAGES

bi directional loading). Prototype ten story

MILMAN & ASSOCIATES STRUCTURAL CONSULTING ENGINEERS/ PROJECT MANAGERS

REFOR-tec REPAIR AND STRENGTHENING OF STRUCTURES WITH U.H.P.F.R.C.C. Ultra High Performance Fiber Reinforced Cementitious Composites

Strengthening and Repair of Reinforced Concrete Structures. Ian Wienholt Business Development Manager

Page 1 of Sven Alexander Last revised SB-Produksjon STATICAL CALCULATIONS FOR BCC 250

Sheet metal operations - Bending and related processes

Retrofitting By Means Of Post Tensioning. Khaled Nahlawi 1

3. Observed Damage in Railway Viaducts

NUMERICAL ANALYSIS OF A HORIZONTALLY CURVED BRIDGE MODEL

ADVANCED SYSTEMS FOR RATIONAL SLAB REINFORCEMENT

A Decade of Performance of FRP-Repaired Concrete Structures

BEHAVIOR OF WELDED T-STUBS SUBJECTED TO TENSILE LOADS

Recent Development of Seismic Retrofit Methods in Japan

Retrofit Design of Damaged Prestressed Concrete Cylinder Pipes

Prestressed Concrete Pipe Fitness for Service and Repair

INTRODUCTION TO BEAMS

DESIGN OF SLABS. Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia

NOTCHES AND THEIR EFFECTS. Ali Fatemi - University of Toledo All Rights Reserved Chapter 7 Notches and Their Effects 1

Aseismic retrofitting of unreinforced masonry walls using FRP

Fracture and strain rate behavior of airplane fuselage materials under blast loading

PERFORMANCE BASED SEISMIC EVALUATION AND RETROFITTING OF UNSYMMETRICAL MEDIUM RISE BUILDINGS- A CASE STUDY

Numerical Analysis of the Moving Formwork Bracket Stress during Construction of a Curved Continuous Box Girder Bridge with Variable Width

Field Damage Inspection and Static Load Test Analysis of Jiamusi Highway Prestressed Concrete Bridge in China

A PERFORMANCE TEST STUDY ON CHINESE G4 LEAD RUBBER BEARINGS

Solid Mechanics. Stress. What you ll learn: Motivation

FLEXURAL BEHAVIOUR OF HYBRID FRP-UHPC GIRDERS UNDER STATIC LOADING

MATERIALS AND MECHANICS OF BENDING

Seismic Assessment and Retrofitting of Structures: Eurocode8 Part3 and the Greek Code on Seismic Structural Interventions

The University of Birmingham (Live System)

Torsion Tests. Subjects of interest

The Collapse of Building 7 by Arthur Scheuerman December 8, 06

Requirements for the Use of PRESSS Moment-Resisting Frame Systems

Transcription:

Fracture Mechanics of Concrete Structures Proceedings FRAMCOS-3 AEDIFICA TIO Publishers, D-79104 Freiburg, Germany SEISMIC RETROFITTING TECHNIQUE USING CARBON FIBERS FOR REINFORCED CONCRETE BUILDINGS H. Katsumata, K. Kimura, and Y. Kobatake, Technical Research Institute, Obayashi Corporation, JAPAN Abstract New retrofitting techniques using carbon fibers are presented. For existing reinforced concrete columns, a CFRP winding technique is employed, in which carbon fiber strands or sheets are wound onto the surface of columns, impregnating and curing epoxy resin. The additional CFRP hoops are constructed to make the columns more ductile. However, debonding of CFRP from a concrete surface limits applications of these CFRP techniques for other retrofit works. From experimental and analytical research, debonding strength and effective bond length are found. Key words: CFRP, seismic retrofitting, reinforced concrete, jacketing, de bonding, 1 Introduction After the 1995 Kobe Earthquake, national and local governments and engineer's societies have emphasized the importance of seismic retrofitting. However, since the current retrofit techniques require much inconvenience 1727

to owners or users of buildings, a few retrofit works have been done yet. Today, CFRP (Carbon Fiber Reinforced Plastics) techniques are focused on because these techniques save the retrofitting cost and time and gain sufficient structural performance. This paper describes an outline of the CFRP techniques and points out debonding of CFRP from concrete. The debonding of CFRP should be solved to enlarge the application field of the CFRP techniques. 2 of seismic retrofit techniques using CFRP Material properties of carbon fibers Carbon fibers are very fine fibers with a diameter of 7µm and have excellent properties for structural members, for example, high strength, high elastic modulas, light weight, and high durability. However, carbon fibers are very brittle as shown in Fig. 1, and very expensive, compared with steel. Thus, some consideration is needed to overcome these weak points. A carbon fiber strand that consists of 12000 filaments of carbon fiber, or a carbon fiber sheet that consists of carbon fiber strands arranged in a same direction is a practical unit for actual applications. The carbon fiber filaments are loaded independently, which causes stress concentration to a filaments. Since carbon fibers are brittle, the filaments with the concentrated stress easily fracture before the stress begin to be shared with any other filaments. Therefore, impregnation of epoxy resin to carbon fibers is usually carried out to produce CFRP. The impregnated resin integrates the carbon fiber filaments in CFRP and reduces the stress concentration. On the other hand, the resin causes loss of durability and '@' 3.0 0... ~ ~ 2.0 Q) low 1.0 Carbon Fiber Aramid Fiber 0.0 2.0 4. 0 Strain (%) Fig. 1 Stress strain relationship of carbon fiber 1728

fire proof capacity. However, since buildings usually need finishings on the retrofitted members from architectural reasons, these problems are solved. The finishings cut ultra- violet rays that reduce durability of epoxy resin. The finishings that have the function of protecting covers can be heat insulation during a fire. CFRP is strong but brittle, just like as a carbon fiber itself. Therefore, CFRP cannot be employed for a energy absorbing material that is very important in the current earthquake resistant design of buildings. For reinforced concrete structures, CFRP cannot be used for longitudinal bars at plastic hinge regions where the longitudinal bars play a role of energy absorbing devices. However, CFRP can be employed for transverse reinforcement to which plastic deformation is not required, and for the longitudinal reinforcement in the region where large plastic deformation is not expected.. The last large problem with use of carbon fibers is the high price of carbon fibers. In case of newly constructing, carbon fibers is inferior to concrete and steel because in that case, the material cost occupies some percentage which is cannot be ignored. However, in the retrofit works, carbon fibers is not inferior because the material cost has a low percentage and the labor costs occupies a high percentage. If carbon fibers save the labor cost due to its light weight and flexibility, then carbon fibers may be widely spread. Actually speaking, this is the reason that CFRP retrofit techniques are often employed in Japan. 2.2 Behavior of retrofitted members In many cases in Japan, a CFRP technique of shear reinforcement is employed for columns because such old columns have poor transverse reinforcement and cause the fatal collapse of a whole building, as was observed in Kobe. Onto the concrete surface of existing reinforced concrete columns, carbon fibers are wound, impregnating and curing epoxy resin. After curing, these CFRP additional hoops improve shear strength and ductility of the columns. There are two methods for this retrofit; one is a strand method using machine for winding carbon fiber strands, and the other is a sheet method employing by hand-lay-up of carbon fiber sheets. From the test results, the both methods are considered to have almost same structural performance. Fig. 2 shows the load displacement relationship of retrofitted and unretrofitted columns (Katsumata et. al, 1996). For the retrofitted column, the strand winding method was employed. The unretrofitted column failed in shear and showed brittle behavior. On the other hand, the retrofitted column failed in flexure and showed very ductile behavior. Most of 1729

z 500 ::::;, "'O co 0 _J z 500 ::::;, -50 50 100 150-50 50 100 150-500 -500 (a) Unretrofitted (b) Retrofitted Fig. 2 Behavior of CFRP retrofitted column ~~~~----'~-'-~--'-~L...--l-~~ 0 5 10 15 20 Fig. 3 Behavior of CFRP retrofitted circular hollow RC members CFRP of this heavily retrofitted column did not fracture. For slightly retrofitted columns, flexural yielding was often observed, however, the wound CFRP fractured at the deformation determined by the provided CFRP quantity and the columns simultaneously lost lateral bearing capacity. This means that an adequate amount of CFRP should be provided for retrofitting. From many test results, a design procedure of the CFRP winding technique for columns was already established, including evaluation of both shear strength and ductility of retrofitted columns. This design procedure was approved by national highest authorities and applied for actual retrofit projects. To improve bending capacity of reinforced concrete members, CFRP is glued on a concrete surface in the longitudinal direction. Fig. 3 shows the load displacement relationship of hollow circular reinforced concrete 1730

beams constructed as a model of existing reinforced concrete chimneys (Kimura et. al 1988 and Kobatake et. al 1993). Compared with the unretrofitted specimen, the retrofitted specimens showed large bearing capacity due to the glued CFRP. The capacity of the heavily retrofitted specimen was larger than that of the slightly retrofitted one. For this strengthening of bending capacity, a design procedure was also established and approved. 2.3 Application of CFRP techniques The CFRP strand technique (see Fig. 4a) of column retrofit employs a winding machine, as shown in Photo 1. This machine, which needs some working space around the retrofitted column, winds carbon fiber strands quickly and precisely. Slight tensile force is applied to the strand, epoxy resin is impregnated, and the strand is provided to the column. Since the machine rotates around the column and moves upward or downward, the strand is wound like as a continuos and spiral hoop. The CFRP sheet technique (see Fig. 4b) of column retrofit employs a hand-lay-up method, as shown in Photo 2. Two or three persons paint epoxy resin on the surface of the retrofitted column, wind carbon fiber sheets in the horizontal direction, and press the sheets for impregnation of the resin and tight contact with the concrete surface. This sheet method can be applied for the columns around which working space is not large. The sheet technique is also employed for strengthening of bending capacity of RC chimneys. On a lifting scaffolding, carbon fiber sheets are glued in the vertical direction (see Photo 3). After flexural strengthening, the strand method is applied to confine concrete and to strengthen the chmney against thermal stress. Before gluing carbon fiber Existing reinforced concrete column Existing reinforced concrete column Carbon fiber strand Carbon fiber sheet (a) Strand winding method (b) Sheet winding method Fig. 4 CFRP winding technique for RC columns 1731

Photo 1 Strand winding machine Photo 2 Sheet winding Photo 3 Gluing CF sheet on chimney in the vertical direction sheets, repair of concrete and rebars is usually carried out due to heavy deterioration. Primer treatment of the concrete surface of the chimney is also essential for longitudinal strengthening to improve bond strength between CFRP and concrete. The CFRP sheet technique is widely applied for the following 1732

(1) seismic strengthening of shear and bending capacity of bridge columns, (2) seismic strengthening of shear capacity of building beams or walls, and (3) strengthening of bending capacity of beams and slabs for long term loads. 3 Debonding of CFRP from concrete surface Observation of debonding Debonding of CFRP from a concrete surface is often observed in the tests of CFRP retrofitting techniques. From the observation, the followings are found (see Fig. 5). (1) Debonding, if it occurs, starts after cracking of concrete. (2) Debonding starts at or near the cracks and propagates in both directions even when a stress gradient exists in CFRP or concrete. (3) Pieces of mortar paste are often stuck to the de bonding CFRP. This observation suggests that debonding strength may be influenced by concrete tensile strength. In the debonding range, the stress transfer capacity between CFRP and concrete is highly or completely lost, which means that the debonding does not work for strengthening. The debonding is one of the most important problem of CFRP retrofitting. 3.2 Debonding of transverse reinforcement in columns For the retrofitting of columns, the transversely provided CFRP usually forms closed type hoop. Thus, after debonding, stress transfer between CFRP and concrete is still expected due to local compression at four corners of the retrofitted column, as shown in Fig. 6. Consequently, Debonding region ~~~-t-r-.,-- Mortar paste ~~~~~~~... CFRP Initiating crack Fig. 5 debonding induced by crack of concrete 1733

Cracks~ ', --- Debonding region CFRP '---~Stress transfer by compression Fig. 6 Stress transfer mechanism of closed CFRP after debonding CFRP fracture I 20 40-20 l z 150 c 100-0 co 0 _J CFRP fracture ' ~ 20 40-150 -150 (a) Bond (b) Unbond Fig. 7 Behavior of columns retrofitted with bond and unbond CFRP Debonding of CFRP which acts transverse reinforcement in columns is neglisble for an actual application. To clarify this mechanism, a loading test was carried out, employing the specimens that were provided with bond and unbond CFRP, respectively (Katsumata et. al, 1988). For the bond specimen, CFRP strands were stuck to the concrete surface by epoxy resin that was supplied too much for impregnation. On the other hand, for the unbond specimen, CFRP strands were wound on thin poli-vinyl film covering the concrete surface. Debonding of CFRP of the bond specimen occurred slight after yielding of longitudinal rebars (lateral displacement = 7 to lomm). Significant difference of behavior cannot be found between two specimens (see Fig. 7). This suggests existence of the stress transfer mechanism show Fig. 6. This also means that bond between concrete and CFRP is not essential for improvement of shear capacity and ductility of columns. In other words, debonding of CFRP is not important for such retrofitting. 1734

Load (kn) 800.--~~~~~~~~ 400 0 '----'-'--'--'-'--'--'-'--'--'---'--~-"'-'----' 0. 40 80 120 Load (kn) 800.--,-~~--,---,.--,-~----. icfrp.! Yield of.. debonding ~.,....,...,.,,... - ' ' 400 lre;~r!... Crack! o~~~~~~_,, 0 40 80 120 Fig. 8 Debonding behavior of CFRP retrofitted beams 3.3 Debonding of longitudinal reinforcement in beams To improve bending capacity of beams, it is considered to be effective that CFRP sheets are glued on the tensile side of such beams in the longitudinal direction. Ohno et. al (1994) tested such strengthened beams and observed that debonding of CFRP limited the improvement of bending capacity, as shown in Fig. 8. This result may be seemed to be the opposite of the results mentioned in Fig. 3. Ohno's specimens with debonding failure mode were provided with much more CFRP, which might exceed the limit determined by debonding strength. This result is concluded that the debonding problem is serious when CFRP is used for heavy longitudinal reinforcement. 3.4 Bond Test To obtain bond strength between CFRP and concrete, bond tests were carried out, employing the specimens as shown in Fig. 9 (Kimura et. al, 1995). Two CFRP sheets were provided symmetrically and each CFRP sheet was glued on a surface of concrete block specimens that would be divided by crack-inducing notches. The major test variable was bond length of CFRP to concrete, namely 50, 100, 150, 200, 250, and 300mm. CFRP strains were measured at several points to obtain strain distribution. Monotonic tensile force were applied to the specimens. Fig. 10 indicates representative varying patterns of CFRP strain distribution. After cracking, a large strain region was enlarged from the center of the specimen ( = the cracking point) to both ends of the CFRP sheet. However, the maximum strain of the CFRP sheet was not so 1735

~CG LJ 100 L I L I 600 unit; mm Fig. 9 Test specimen for bond behavior between CFRP and concrete Strain(%) Strain (%) 0.8.---;-------,---.====~ 0.8 r---,------:---:-;:::::=========::::;:i B-1/3 Pmax -82/3 Pmax 0.4 0.4-5.0 0.0 5.0 Distance (cm) -10.0 0.0 10.0 Distance (cm) (a) Bond length= loomm Fig. 10 CFRP Strain distribution (b) Bond length = 200mm scattered, and the maximum load was not increased when the bond length was larger than 150mm. 3.5 Analysis of the bond test The result of the bond tests mentioned before was analyzed by a simplified multi-spring model (Sato et. al, 1996). From this analysis, it can be idealized that bond stress was almost constant within an effective bond length located in both sides of the central crack (see Fig. 11). The effective bond length 4 and the bond strength 'tb were evaluated as follows. Lb= 25mm i;b = 4.56MPa 1736

Effective bond region ----,.,..,...---- - Bond strength Fig. 11 Idealized bond stress distribution Since strengths of employed concrete were not so scattered, the influence of concrete on the bond strength and the effective bond length is not found enough. Sato, et. al (1996) also analyzed the bond tests, employing a nonlinear FEM (Finite Element Method). The nonlinearity was given to concrete elements and bond links, which were inserted between the concrete and the CFRP sheet to express the debonding. Strength and stiffness of the links were determined, as corresponding to the test results. The following analytical results were also recognized as were found in the test. (1) The concrete just below the interface between CFRP and concrete block fails and debonding occurs there. (2) The bond stress is concentrated within two narrow regions that move from the initial crack to both ends of the CFRP sheet. (3) The evaluation of the effective bond stress length 4 is different from the result of the simplified analysis; Lb = 40 to 45mm 4. Conclusion Retrofit techniques using CFRP are widely spread in Japan as one of seismic strengthening measures for building columns and beams, chimneys, and bridge columns. These techniques have a problem of debonding of CFRP from concrete. The debonding usually has no influence on the behavior of retrofitted building columns but limits improvement by CFRP 1737

glued in the longitudinal direction. The debonding behavior and strength was discussed by loading tests and analyses. Future research is still required to obtain more detail knowledge on the debonding, for example, influence of concrete strength, evaluation of bond strength from a fracture mechanics approach, and so on. Acknowledgment The authors acknowledge all publishers who gave permission of reproducing figures. References Katsumata, H., Kobatake, Y, and Takeda, (1988) A study of strengthening with carbon fiber for earthquake-resistant capacity of existing reinforced concrete columns, Proc. of 9WCEE, 7, 517-522 Katsumata, H. and Kobatake, Y (1996) Seismic Retrofit with carbon fibers for reinforced concrete columns, Proc. of 11 WCEE, Elsevier Science, Paper No. 293 Kimura, K., Kobatake, Y. et. al (1988) Study on the strengthening R. C. member with carbon fiber (Part 2 Flexural tests of tubular members), Summaries of technical papers of annual meeting, AU, ST, 820-821 (in Japanese) Kimura, K., Kobatake, Y., and Ohno, S. (1995) Study on the behavior of bond and anchorage between the carbon-fiber sheet and concrete, Journal of Strc. Eng., AIJ, 41B, 527-536 (in Japanese) Kobatake, Y., Kimura, K., and Katsumata, H. (1993) A retrofitting method for reinforced concrete structures using carbon fiber, FRP Reinforcement for concrete structure: properties and applications (ed. A. Nanni), Elsevier Science, 435-450 Ohno, S., Andoh, H. et. al (1994) Study on bond behavior between CFRP sheets and reinforced concrete, Proc. of 9JEES, 2, 2167-2172 (in Japasese) Sato, Y., Kimura, K. and Kobatake, Y (1996) Internal fracture simulation for CFRP sheet and concrete, Recent advancement of interfacial materials science on composite material '96, 304-309 1738