Analysis of snap-back instability due to end-plate debonding in strengthened beams

Journal of Engineering Mechanics

Volumn 136, Issue 2, 2010, Pages 199-208

  Carpinteri, A ^a   Paggi, M ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Beams; Bonding; Cohesive model; Cracking; Fiber reinforced polymers; Fiber reinforced polymers; Finite element method; Finite element method; Fracture; Nonlinear analysis; Plates

Indexed keywords

CATASTROPHE THEORY; COHESIVE LAWS; COHESIVE MODEL; CONCRETE SUBSTRATES; CRACKING; EXPERIMENTAL ASSESSMENT; FIBER REINFORCED POLYMERS; FOUR-POINT BENDING; INTERFACE BEHAVIOR; INTERFACE CRACK; INTERFACIAL CRACKS; LENGTH CONTROL; MID-SPAN DEFLECTION; MODE I FRACTURE; MODE II; MODE MIXITY; NUMERICAL SIMULATION; PARAMETRIC STUDY; REINFORCEMENT LENGTH; STRENGTHENED BEAMS; STRENGTHENED CONCRETE BEAMS; STRENGTHENING TECHNIQUE;

BENDING STRENGTH; BRIDGE DECKS; COMPUTER SIMULATION; CONCRETE BEAMS AND GIRDERS; CONCRETE REINFORCEMENTS; CRACKS; DEBONDING; FIBER REINFORCED PLASTICS; FIBERS; FRACTURE; NONLINEAR ANALYSIS; POLYMERS; REINFORCED PLASTICS;

FINITE ELEMENT METHOD;

BENDING; BRITTLE FAILURE; COMPUTER SIMULATION; CRACKING; EXPERIMENTAL STUDY; FAILURE ANALYSIS; FINITE ELEMENT METHOD; FRACTURE MECHANICS; INSTABILITY; NONLINEARITY; NUMERICAL MODEL; REINFORCED CONCRETE; REINFORCEMENT; STRUCTURAL COMPONENT; THEORETICAL STUDY;

EID: 77953297084     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2010)136:2(199)     Document Type: Article

References (59)

1. Alaee F. Karihaloo B. Fracture model for flexural failure of beams retrofitted with CARDIFRC. J. Eng. Mech. 2003, 129(9):1028-1038. JENMDT, 0733-9399, 10.1061/(ASCE)0733-9399(2003)129:9(1028)
2. Ali-Ahmad M.K. Subramaniam K.V. Ghosn M. Analysis of scaling and instability in FRP-concrete shear debonding for beam-strengthening applications. J. Eng. Mech. 2007, 133(1):58-65. JENMDT, 0733-9399, 10.1061/(ASCE)0733-9399(2007)133:1(58)
3. State-of-the-art report on fiber reinforced plastic (FRP). Reinforcement for concrete structures. 1996, American Concrete Institute, ACI 440R-96, Detroit.
4. Arduini M. Di Tommaso A. Nanni A. Brittle failure in FRP plate and sheet bonded beams. ACI Struct. J. 1997, 94(4):363-370. ASTJEG, 0889-3241
5. Ascione L. Feo L. Modeling of composite/concrete interface of RC beams strengthened with composite laminates. Composites, Part B 2000, 31(6-7):535-540. CPBEFF, 1359-8368, 10.1016/S1359-8368(99)00063-3
6. Au C. Büyüközt O. Debonding of FRP plated concrete: a tri-layer fracture treatment. Eng. Fract. Mech. 2006, 73(3):348-365. EFMEAH, 0013-7944, 10.1016/j.engfracmech.2005.07.007
7. Bruno D. Carpino R. Greco F. Modeling of mixed mode debonding in externally FRP reinforced beams. Compos. Sci. Technol. 2007, 67(7-8):1459-1474. CSTCEH, 0266-3538, 10.1016/j.compscitech.2006.07.019
8. Büyüköztc O. Leung C. Hearing B. Gunes O. Delamination criterion for concrete beams retrofitted with FRP laminates. Fracture Mechanics of Concrete Structures, Proceedings of FraMCoS-3 1998, 1771-1782. H. Mihashi, K. Rokugo eds., AEDIFICATIO, Freiburg, Germany, .
9. Carpinteri A. Shah S. Interpretation of the Griffith instability as a bifurcation of the global equilibrium. Proc., of a NATO Advanced Research Workshop 1985, 287-316 ed., Martinus Nijhoff, Dordrecht
10. Carpinteri A. Cusp catastrophe interpretation of fracture instability. J. Mech. Phys. Solids 1989a, 37(5):567-582. JMPSA8, 0022-5096, 10.1016/0022-5096(89)90029-X
11. Carpinteri A. Post-peak and post-bifurcation analysis on cohesive crack propagation. Eng. Fract. Mech. 1989b, 32(2):265-278. EFMEAH, 0013-7944, 10.1016/0013-7944(89)90299-3
12. Carpinteri A. Softening and snap-back instability in cohesive solids. Int. J. Numer. Methods Eng. 1989c, 28(7):1521-1537. IJNMBH, 0029-5981, 10.1002/nme.1620280705
13. Carpinteri A. Colombo G. Giuseppetti G. Wittmann F. Accuracy of the numerical description of cohesive crack propagation. Proc., of Int. Conf. on Fracture Mechanics of Concrete 1986a, 189-195. and ed., Elsevier, Amsterdam
14. Towards a unified approach for the analysis of failure modes in FRP-retrofitted concrete beams. Adv. Struct. Eng. 2009, 12(5):715-729. ASEDDO, 1369-4332, 10.1260/136943309789867863, Carpinteri, A., Cornetti, P., Lacidogna, G. Paggi, M.
15. Carpinteri A. Cornetti P. Pugno P. Debonding in FRP strengthened beams: Stress assessment versus fracture mechanics approach. Proc., 6th Conf. on Fracture Mechanics of Concrete Concrete Structures 2007c, 2:1053-1060. Taylor Francis, London
16. Carpinteri A. De Lorenzis L. Paggi M. Zavarise G. Marques T. Linear elastic fracture mechanics approach to edge debonding in plated beams. Proc., CCC-2008, Challenges for Civil Construction 2008 (CD-ROM),, eds., University of Porto, Porto, Portugal.
17. Carpinteri A. Di Tommaso A. Fanelli M. Wittmann F. Influence of material parameters geometry on cohesive crack propagation. Fracture toughness fracture energy of concrete 1986b, 117-135. ed., Elsevier, Amsterdam
18. Carpinteri A. Di Tommaso A. Ferrara G. Melchiorri G. Wittmann F. Experimental evaluation of concrete fracture energy through a new identification method. Fracture toughness fracture energy of concrete 1986c, 423-436. , ed., Elsevier, Amsterdam
19. Carpinteri A. Lacidogna G. Paggi M. Acoustic emission monitoring numerical modelling of FRP delamination in RC beams with non-rectangular cross-section. RILEM Materials Structures 2007a40(6):553-566. 10.1617/s11527-006-9162-4
20. Carpinteri A. Lacidogna G. Paggi M. On the competition between delamination shear failure in retrofitted concrete beams related scale effects. Proc.6th Conf. on Fracture Mechanics of Concrete Concrete Structures 2007b2:1069-1076. Taylor FrancisLondon
21. Carpinteri A. Paggi M. Zavarise G. Snap-back instability in micro-structured composites its connection with superplasticity. StrengthFracture Complexity 20053(2-4):61-72
22. Eurocode 2: Design of concrete structures-Part 1-1: General rules rules for buildings. 1991CEN ENV 1992-1-1BrusselsBelgium.
23. Guide for the design construction of externally bonded FRP systems for strengthening existing structures. 2004CNR CNR-DT 200Rome.
24. Crisfield M.A. Snap-through snap-back response in concrete structures the dangers of under-integration. Int. J. Numer. Methods Eng. 198622(3):751-768. IJNMBH0029-598110.1002/nme.1620220314
25. David E. Djelal C. Buyle-Bodin F. Balázs G.L. Repair strengthening of reinforced concrete beams using composite materials. Proc.2nd Int. Ph.D. Symp. in Civil Engineering 19981-8. ed.Technical University of BudapestBudapest
26. David E. Ragneau E. Buyle-Bodin F. Experimental analysis of flexural behaviour of externally bonded CFRP reinforced concrete structures. RILEM Materials Structures 200336(4):238-241. 10.1007/BF02479617
27. De Lorenzis L. Miller B. Nanni A. Bond of fiber-reinforced polymer laminates to concrete. ACI Mater. J. 200198(3):256-263. AMAJEF0889-325X
28. De Lorenzis L. Teng J.G. Zhang L. Elastic interfacial stresses in curved members bonded with a thin plate. Int. J. Solids Struct. 200643(25-26):7501-7517. IJSOAD0020-768310.1016/j.ijsolstr.2006.03.014
29. De Lorenzis L. Zavarise G. Modelling of mixed-mode debonding in the peel test applied to superficial reinforcements. Int. J. Solids Struct. 200845(20):5419-5436. IJSOAD0020-768310.1016/j.ijsolstr.2008.05.024
30. Drucker D.C. Some implications of work-hardening ideal plasticity. Q. J. Mech. Appl. Math. 19507(4):411-418. QJMMAV0033-5614
31. Ferracuti B. Savoia M. Mazzotti C. A numerical model for FRP-concrete delamination. CompositesPart B 200637(4-5):356-364. CPBEFF1359-836810.1016/j.compositesb.2005.08.002
32. Ferracuti B. Savoia M. Mazzotti C. Interface law for FRP-concrete delamination. Compos. Struct. 200780(4):523-531. COMSE20263-822310.1016/j.compstruct.2006.07.001
33. Design use of externally bonded FRP reinforcement (FRP EBR) for reinforced concrete structures. 2001fib Bulletin Rep. No.14Subgroup EBR (Externally Bonded Reinforcement) of fib Task Group 9.3 FRP Reinforcement for Concrete StructuresLausanneSwitzerland.
34. Geubelle P.H. Baylor J.S. Impact-induced delamination of composites: A 2D simulation. CompositesPart B 199829(5):589-602. CPBEFF1359-836810.1016/S1359-8368(98)00013-4
35. Högberg J.L. Mixed mode cohesive law. Int. J. Fract. 2006141(3-4):549-559. IJFRAP0376-942910.1007/s10704-006-9014-9
36. Hollaway L. Leeming M. Strengthening of reinforced concrete structures 1999.WoodheadCambridgeEngland.
37. Technical report on retrofitting technology for concrete structures. 2003JCI Rep. No.JCI-C59ETechnical Committee on Retrofitting Technology for Concrete StructuresJapan.
38. Test method for bond properties of continuous fiber sheets to concrete. 2000JSCE-E 543 Rep. Prepared forTest Methods for Continuous Fiber SheetsJapan.
39. Leung C. Li V. Leung C. Willam K. Billington S. Fracture mechanics of debonding failure in FRP-strengthened concrete beams. Proc.5th Int. Conf. on Fracture Mechanics of Concrete Concrete Structures (FraMCoS-5) 200441-52. eds.IA-FraMCoS
40. Leung C.K. Y. Delamination failure in concrete beams retrofitted with a bonded plate. J. Mater. Civ. Eng. 200113(2):106-113. JMCEE70899-156110.1061/(ASCE)0899-1561(2001)13:2(106)
41. Leung C.K. Y. Yang Y. Energy-based modeling approach for debonding of FRP plate from concrete substrate. J. Eng. Mech. 2006132(6):583-593. JENMDT0733-939910.1061/(ASCE)0733-9399(2006)132:6(583)
42. Maier G. Behaviour of elastic-plastic trusses with unstable bars. J. Eng. Mech. 196692(3):67-91. JENMDT0733-9399
43. Maier G. Incremental plastic analysis in the presence of large displacements physical instabilizing effects. Int. J. Solids Struct. 19717:345-372. IJSOAD0020-768310.1016/0020-7683(71)90108-9,
44. Maier G. Zavelani A. Dotreppe J.C. Equilibrium branching due to flexural softening. J. Eng. Mech. 197399(4):897-901. JENMDT0733-9399
45. Malek A. Saadatmanesh H. Ehsani M. Prediction of failure load of R/C beams strengthened with FRP plate due to stress concentration at the plate end. ACI Struct. J. 199895(2):142-152. ASTJEG0889-3241
46. Nanni A. North American design guidelines for concrete reinforcement strengthening using FRP: Principlesapplications unsolved issues. Constr. Build. Mater. 200317(6-7):439-446. CBVME20950-061810.1016/S0950-0618(03)00042-4
47. Oehlers D.J. Seracino R. Design of FRP steel plated RC structures: Retrofitting beams slabs for strengthstiffness ductility 2004.ElsevierAmsterdam.
48. Paggi M. Carpinteri A. Zavarise G. Wriggers P. Nackenhorst U. A unified interface constitutive law for the study of fracture contact problems in heterogeneous materials. Analysis simulation of contact problems 2006297-304andeds.SpringerBerlin
49. Rabinovitch O. Fracture-mechanics failure criteria for RC beams strengthened with FRP strips-A simplified approach. Compos. Struct. 200464(3-4):479-492. COMSE20263-822310.1016/j.compstruct.2003.09.048
50. Rabinovitch O. Frostig Y. Delamination failure of RC beams strengthened with FRP strips-A closed form high-order fracture mechanics approach. J. Eng. Mech. 2001127(8):852-861. JENMDT0733-939910.1061/(ASCE)0733-9399(2001)127:8(852)
51. Rots J.G. de Borst R. Analysis of mixed-mode fracture in concrete. J. Eng. Mech. 1987113(11):1739-1758. JENMDT0733-939910.1061/(ASCE)0733-9399(1987)113:11(1739)
52. Smith S. Teng J. Interfacial stresses in plated beams. Eng. Struct. 200123(7):857-871. ENSTDF0141-029610.1016/S0141-0296(00)00090-0
53. Smith S. Teng J. FRP-strengthened RC beams. I: Review of debonding strength models. Eng. Struct. 2002a24(4):385-395. ENSTDF0141-029610.1016/S0141-0296(01)00105-5
54. Smith S. Teng J. FRP-strengthened RC beams. II: Assessment of debonding strength models. Eng. Struct. 2002b24(4):397-417. ENSTDF0141-029610.1016/S0141-0296(01)00106-7
55. Taljsten B. Strengthening of beams by plate bonding. J. Mater. Civ. Eng. 19979(4):206-212. JMCEE70899-156110.1061/(ASCE)0899-1561(1997)9:4(206)
56. Teng J.G. Smith S.T. Yao J. Chen J.F. Intermediate crack-induced debonding in RC beams slabs. Constr. Build. Mater. 200317(6-7):447-462. CBVME20950-061810.1016/S0950-0618(03)00043-6
57. Thom R. Structural stability morphogenesis 1975Benjamin-CummingsRedwood CityCalif.
58. Triantafillou T.C. Pelvris N. Strengthening of RC beams with epoxy-bonded fiber-composite materials. RILEM Materials Structures 199225(4):201-211. 10.1007/BF02473064
59. Wang J. Cohesive zone model of intermediate crack-induced debonding of FRP-plated concrete beam. Int. J. Solids Struct. 200643(21):6630-6648. IJSOAD0020-768310.1016/j.ijsolstr.2006.01.013