CFRP. FRP FRP. Abaqus

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1 C Epoxy C baqus C FE baqus C amene.kia@gmail.com

2 EROG 1 Debonding : /

3 C (mm) E c (MPa) f' c (MPa) f' t (MPa) a S L d h b baqus C Leong Kok Leong Kok

4 CDP E p (GPa) (MPa) E a (MPa) G a (MPa) t a (mm) E f u y f y (GPa) (MPa) (%) (MPa) (mm) R6 T10 R12 T20 CDP C FEM Concrete Damaged Plasticity 2 ond-slip 3 Dowel ction 4 Dilation ngle 5 Eccentricity

5 k. k CDP Dilation angle Eccentricity f b0 /f c0 k Viscosity Parameter Force (N) Displacement 0.03 (m) cr d t cr baqus. 1 Cracking strain

6 f y E s MPa cr C u

7 (MPa) C Obaidat. Lamina C * Traction-Separation

8 baqus K G 1 E G 2 t s n f ct w/c=0.5 * enzaggah-kenane

9 sweep structure e e e C3D8R S4R Shell C T3D2 COH3D8 COH3D8 Cohesive * Embedded Tie Quad C Hex

10 FEM (N) N mm C C

11 1 1

12 C

13 C C C baqus C C C FE C C C C C FE C FE baqus C C C C C (m) FEM

14 (N/m 2 ) (m) (N/m 2 ) C (m) (m) C [8] Morita, S., Kaku, T. relationship under repeated loading Symposiumm on resistance and ultimate deformability of structures acted on by well- defined repeated load, Preliminary report, international association of bridge structure engineering, Lisbon symposium, , Local bond stress-slip [11] Lu XZ, Ten JG, Ye LP, Jaing JJ ond-slip models for sheets/plates bonded to concrete Eng Struct, 24(5), , [1] Mukhopadhyaya, P. Swamy, RN. Interface shear stress: a new design criterion for plate debonding, Journal of Composites Construct, SCE, 5, 35 43, [2] Kok, L. Effect of beam size & thickness on interfacial ial shear stress concentration failure mode in strengthened beam MS thesis, Singapor, [3] Hansen, E., Willam, K., Carol, I. twosurface anisotropic damage/plasticity model for plain concrete Proc. Framcos-4 Conf. Paris Fracture Mechanics of Concrete Materials, , Rotterdam, [4] baqus Theory manual and user manual and Example Manual Version Providence, [5] Taqieddin, ZN. Elasto-Plastic and Damage Modeling of Reinforced Concrete Ph.D. dissertation, Dept. Civil & Environmental Engineering, Louisiana State Univ. aton Rouge L, [6] baqus V6..10 Manuals Providence, Dassault Systemes [7] Obaidat, Y.T., Heyden, S., Dahlblom, O. The effect of C and C/concrete interface models when modeling retrofitted RC beams with FEM Journal of Composite Structures, 92, , 2010.

15 bstract The Modeling of Epoxy Layer for Prediction of Debonding at - Strengthened Rc eams H. Varastehpor ssistant professor of Civil Engineering, Institute for Energy & Hydro Technology. Soleimanikia Civil structural engineer, Institute for Energy & Hydro Technology ( Received: 2014/6/9 - ccepted: 2015/4/29) bstract onding of fiber reinforced polymers () with epoxy layer has considered as a new structural strengthening technology in response to need for repair and strengthening of reinforced concrete structures and propagated in the last decade. lthough epoxy bonding of has many advantages, there is a common problem; before receiving the expected flexural capacity, most of the failure modes of these beams occur in a brittle manner, without any serious indication. The most commonly reported failure modes include ripping of the concrete cover and interfacial debonding. In the most researches who have studied the behavior of retrofitted structures, the effect of the interfacial behavior has been ignored. Proper prediction of flexural capacity of strengthened of concrete beams in debonding modes is led to economical benefits in projects. In this article, the results have been verified with 6 beams in laboratory that have been loaded in two symmetric points load and divided to groups and. The beams had the same section, length and number of C layer in each group, but thickness of C was different. nonlinear modeling with Finite Element (FE) method with the help of baqus is done, for investigation of real behavior of C strengthened concrete beams and interfacial shear stresses concentration at C cut off region, with presenting the failure theory and criterion and a method for cohesive layer simulation. Moreover the FE results are verified with an accurate experimental test results. The FEM results agreed well with the experiments, when using the cohesive model regarding failure modes, load capacity, force-displacement curves results and C strains. Keywords: Flexural capacity, Debonding,, Epoxy leyer, baqus Corresponding author: amene.kia@gmail.com

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