Steel and Composite Structures

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Design of multiphase carbon fiber reinforcement of crack existing concrete structures using topology optimization

  • Nguyen, Anh P. (Department of Architectural Engineering, Sejong University) ;
  • Banh, Thanh T. (Department of Architectural Engineering, Sejong University) ;
  • Lee, Dongkyu (Department of Architectural Engineering, Sejong University) ;
  • Lee, Jaehong (Department of Architectural Engineering, Sejong University) ;
  • Kang, Joowon (Department of Architecture, Yeungnam University) ;
  • Shin, Soomi (Research Institute of Industrial Technology, Pusan National University)
  • Received : 2018.08.08
  • Accepted : 2018.11.15
  • Published : 2018.12.10
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Abstract

Beam-column joints play a significant role in static and dynamic performances of reinforced concrete frame structures. This study contributes a numerical approach of topologically optimal design of carbon fiber reinforced plastics (CFRP) to retrofit existing beam-column connections with crack patterns. In recent, CFRP is used commonly in the rehabilitation and strengthening of concrete members due to the remarkable properties, such as lightweight, anti-corrosion and simplicity to execute construction. With the target to provide an optimal CFRP configuration to effectively retrofit the beam-column connection under semi-failure situation such as given cracks, extended finite element method (X-FEM) is used by combining with multi-material topology optimization (MTO) as a mechanical description approach for strong discontinuity state to mechanically model cracked structures. The well founded mathematical formulation of topology optimization problem for cracked structures by using multiple materials is described in detail in this study. In addition, moved and regularized Heaviside functions (MRHF), that have the role of a filter in multiple materials case, is also considered. The numerical example results illustrated in two cases of beam-column joints with stationary cracks verify the validity, benefit and supremacy of the proposed method.

Keywords

Acknowledgement

Supported by : NRF (National Research Foundation of Korea)

References

  1. Abdel-Hafez, L.M., Abouelezz, A.E.Y. and Hassan, A.M. (2015), "Behavior of RC columns retrofitted with CFRPexposed to fire under axial load", Hous. Build. Nat. Res. Center, 11, 68-81.
  2. ACI Committee 546-ACI 546R-04 (2004), Concrete Repair Guide; American Concrete Institute (ACI).
  3. Alam, A.M. (2014), "Effective Method of Repairing RC Beam Using Externally Bonded Steel Plate", Appl. Mech. Mater., 567, 399-404. https://doi.org/10.4028/www.scientific.net/AMM.567.399
  4. Alonso, C., Ansola, R. and Querin, O.M. (2014), "Topology synthesis of multi-material compliant mechanisms with a sequential element rejection and admission method", Finite Elem. Anal. Des., 85, 11-19. https://doi.org/10.1016/j.finel.2013.11.006
  5. Amin, N.M., Aziz, N.A., Joohari, I. and Alisibramulisi, A. (2016), "Retrofitting performance of reinforced concrete one way slab", Jurnal Teknologi, 78, 41-45.
  6. Andra, P.H. and Maier, M. (1999), "Post strengthening of reinforced concrete structures by prestressed externally bonded carbon fibres reinforced polymer (CFRP) strips", Proceedings of the Conference, 'Structural Faults and Repair 1999', London, UK.
  7. Anwar, G.A. and Versaillot, P.D. (2016), "Effect of CFRP Retrofitting on Seismic Vulnerability of Reinforced Concrete Frame Structures in Pakistan", Am. Sci. Res. J. Eng., Technol. Sci., 26, 145-158.
  8. Asadpoure, A., Tootkaboni, M. and Valdevit, L. (2017), "Topology optimization of multiphase architected materials for energy dissipation", Comput. Methods Appl. Mech. Eng., 325(6), 314-329. https://doi.org/10.1016/j.cma.2017.07.007
  9. Banh, T.T. and Lee, D.K. (2018a), "Topology optimization for thin plate on elastic foundations by using multi-material", Steel Compos. Struct., Int. J., 27(2), 177-184.
  10. Banh, T.T. and Lee, D.K. (2018b), "Multi-material topology optimization of Reissner-Mindlin plates using MITC4", Steel Compos. Struct., Int. J., 27(1), 27-33.
  11. Banh, T.T. and Lee, D.K. (2018c), "Multi-material topology optimization design for continuum structures with crack patterns", Compos. Struct., 186, 193-209. https://doi.org/10.1016/j.compstruct.2017.11.088
  12. Bendsoe, M.P. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using a homogenization method", Computat. Methods Appl. Math., 71(2), 197-224.
  13. Bendsoe, M.P. and Sigmund, O. (1999), "Material interpolation schemes in topology optimization", Arch. Appl. Mech., 69, 635-654. https://doi.org/10.1007/s004190050248
  14. Bendsoe, M.P. and Sigmund, O. (2004), Topology Optimization: Theory, Methods, and Applications, SpringerVerlag Berlin Heidelberg, New York, NY, USA.
  15. Beres, A., El-Borgi, S., White, R.N. and Gergely, P. (1992), "Experimental results of repaired and retrofitted beam-column joint tests in lightly reinforced concrete frame buildings", Technical Rep. No.NCEER-92-0025; State University of New York at Buffalo, NY, USA.
  16. Blasques, J.P. and Stolpe, M. (2012), "Multi-material topology optimization of laminated composite beam cross sections", Mater. Des., 94(11), 3278-3289.
  17. Doan, Q.H. and Lee, D.K. (2017), "Optimum topology design of multi-material structures with non-spurious buckling constraints", Adv. Eng. Software, 114, 110-120. https://doi.org/10.1016/j.advengsoft.2017.06.002
  18. Doan, H.D., Do, T.V., Pham, P.M. and Nguyen, D.D. (2017), "Validation simulation for free vibration and buckling of cracked Mindlin plates using phase-field method", Mech. Adv. Mater. Struct., DOI: 10.1080/ 15376494.2018.1430262
  19. Gavali, V.C. and Kulkarni, H.B. (2018), "Mechanical and thermomechanical properties of carbon fibre reinforced thermoplastic composite fabricated using fused deposition modelling (fdm) method: a review", Int. J. Mech. Product., 8, 1161-1168.
  20. Gergely, J., Pantelides, C.P., Nuismer, R.J. and Reaveley, L.D. (1998), "Bridge pier retrofit using fiber-reinforced plastic composites", J. Compos. Constr., 2-4, 165-174.
  21. Hao, W., Liu, Y. and Fang, D. (2017), "Preparation and characterization of 3D printed continuous carbon fiber reinforced thermosetting composites", Polym. Test., 65, 29-34.
  22. International Concrete Repair Institute (2008), Guide for Surface Preparation for the Repair of Deteriorated Concrete Resulting From Reinforcing Steel Corrosion; Guideline No. 310.1R-2008 (formerly No. 03730).
  23. Kaiser, H.P. (1989), "Strengthening of reinforced concrete with epoxy-bonded carbon-fiber plastics", Doctoral Thesis; Diss. ETH, Nr.8918, ETH Zurich, Ch-8092 Zurich, Switzerland.
  24. Kim, Y., Ghannoum, W.M. and Jirsa, J.O. (2015), "Shear behaviour of full-scale reinforced concrete T-beams strengthened with CFRP strips and anchors", Constr. Build. Mater., 94, 1-9. https://doi.org/10.1016/j.conbuildmat.2015.06.005
  25. Le, T.C., Phung, V.P., Thai, H.C., Nguyen, X.H. and Abdel, W.M. (2018), "Isogeometric analysis of functionally graded carbon nanotube reinforced composite nanoplates using modified couple stress theory", Compos. Struct., 184, 633-649. https://doi.org/10.1016/j.compstruct.2017.10.025
  26. Lee, D.K. and Shin, S. (2015), "Optimizing structural topology patterns using regularization of Heaviside function", Struct. Eng. Mech., Int. J., 55(6), 1157-1176. https://doi.org/10.12989/sem.2015.55.6.1157
  27. Le-Trung, K., Lee, K., Shin, M. and Lee, J. (2011), "Analytical assessment and modeling of RC beam-column connections strengthen with CFRP composites", Compos. Part B-Eng., 42, 1786-1798. https://doi.org/10.1016/j.compositesb.2011.07.002
  28. Lieu, X.Q. and Lee, J.H. (2017), "A multi-resolution approach for multi-material topology optimization based on isogeometric analysis", Comput. Methods Appl. Mech. Eng., 323, 272-302. https://doi.org/10.1016/j.cma.2017.05.009
  29. Lieu, X.Q., Lee, S.H., Kang, J.W. and Lee, J.H. (2018a), "Bending and free vibration analyses of in-plane bi-directional functionally graded plates with variable thickness using isogeometric analysis", Compos. Struct., 192, 434-451. https://doi.org/10.1016/j.compstruct.2018.03.021
  30. Lieu, X.Q., Lee, J.W., Lee, D.K., Kim, D.H., Lee, S.H. and Lee, J.H. (2018b), "Shape and size optimization of functionally graded sandwich plates using isogeometric analysis and adaptive hybrid evolutionary firefly algorithm", Thin-Wall. Struct., 124, 588-604. https://doi.org/10.1016/j.tws.2017.11.054
  31. Maria, T.D.R. (2016), "Role of beam-column joints in the seismic response of non-conforming RC frames", IV Workshop on New Boundaries of Structural Concrete (NBSC2016), Anacapri, Italy.
  32. Masuelli, M.A. (2013), "Introduction of Fiber-Reinforced Polymers and Composites: Concepts, Properties and Process", 1-24, InTech, Croatia, pp. 1-24.
  33. Nguyen, D.D. and Do, N. (2014), "Nonlinear stability analysis of imperfect three-phase polymer composite plates in thermal environments", Compos. Struct., 109, 130-138. https://doi.org/10.1016/j.compstruct.2013.10.050
  34. Nguyen, D.D., Tran, Q.Q. and Do, N. (2013), "A nonlinear stability analysis of imperfect three-phase polymer composite plates", Mech. Compos. Mater., 49, 345-358. https://doi.org/10.1007/s11029-013-9352-4
  35. Nguyen, D.D., Tran, Q.Q. and Nguyen, D.K. (2017a), "New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature", Aerosp. Sci. Technol., 71, 360-372. https://doi.org/10.1016/j.ast.2017.09.031
  36. Nguyen, D.D., Lee, J.H., Nguyen, T.T. and Pham, T.T. (2017b), "Static response and free vibration of functionally graded carbon nanotube-reinforced composite rectangular plates resting on Winkler-Pasternak elastic foundations", Aerosp. Sci. Technol., 68, 391-402. https://doi.org/10.1016/j.ast.2017.05.032
  37. Nguyen, D.D. and Pham, D.N. (2017c), "The dynamic response and vibration of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) truncated conical shells resting on elastic foundation", Mater. Special Issue "Adv. Compos.", 10(10), 1194.
  38. Pham, V.T. and Nguyen, D.D. (2016), "Non-linear dynamic response and vibration of an imperfect three-phase laminated nanocomposite cylindrical panel resting on elastic foundations in thermal environments", Sci. Eng. Compos. Mater., 24(6), 951-962. https://doi.org/10.1515/secm-2015-0467
  39. Pham, P.M., Do, V.T., Doan, H.D. and Nguyen, D.D. (2018), "The stability of cracked rectangular plate with variable thickness using phase field method", Thin-Wall. Struct., 129, 157-165. https://doi.org/10.1016/j.tws.2018.03.028
  40. Phung, V.P., Abdel, W.M., Liew, K.M., Bordas, S.P.A., Nguyen, X.H. (2015), "Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory", Compos. Struct., 123, 137-149. https://doi.org/10.1016/j.compstruct.2014.12.021
  41. Phung, V.P., Abdel, W.M., Lieu, X.Q., Nguyen, X.H. (2017a), "Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates", Compos. Struct., 166, 120-135. https://doi.org/10.1016/j.compstruct.2017.01.049
  42. Phung, V.P., Ferreira, A.J.M., Nguyen, X.H., Abdel, W.M. (2017b), "An isogeometric approach for size dependent geometrically nonlinear transient analysis of functionally graded nanoplates", Compos. Part B: Eng., 118, 125-134. https://doi.org/10.1016/j.compositesb.2017.03.012
  43. Phung, V.P., Abdel, W.M., Le, T.C., Nguyen, X.H. (2018), "Nonlinear transient isogeometric analysis of FG-CNTRC nanoplates in thermal environments", Compos. Struct., 201, 882-892. https://doi.org/10.1016/j.compstruct.2018.06.087
  44. Shahri, M.B. and Moeenfard, H. (2018), "Topology optimization of fundamental compliant mechanisms using a novel asymmetric beam flexure", Int. J. Mech. Sci., 135, 383-397. https://doi.org/10.1016/j.ijmecsci.2017.11.023
  45. Shobeiri, V. (2015), "The topology optimization design for cracked structures", Eng. Anal. Boundary Elem., 58, 26-38. https://doi.org/10.1016/j.enganabound.2015.03.002
  46. Song, L. and Yu, Z. (2015), "Fatigue performance of corroded reinforced concrete beams strengthened with CFRP sheets", Constr. Build. Mater., 90, 99-109. https://doi.org/10.1016/j.conbuildmat.2015.05.024
  47. Tavakoli, R. and Mohseni, S.M. (2014), "Alternating active-phase algorithm for multimaterial topology optimization problems: a 115-line matlab implementation", Struct. Multidiscipl. Optimiz., 49, 621-642. https://doi.org/10.1007/s00158-013-0999-1
  48. Truong, G.T. and Choi, K.K. (2017), "Seismic Performance of Exterior RC Beam-Column Joints Retrofitted using Various Retrofit Solutions", Int. J. Concrete Struct. Mater., 11, 415-433. https://doi.org/10.1007/s40069-017-0203-x
  49. Woischwill, C. and Kim, I.Y. (2018), "Multimaterial multijoint topology optimization", Int. J. Numer. Methods Eng., 115(13), 1552-1579. DOI: 10.1002/nme.5908
  50. Xia, Q. and Wang, M.Y. (2008), "Topology optimization of thermoelastic structures using level set method", Computat. Mech., 42(6), 837. https://doi.org/10.1007/s00466-008-0287-x
  51. Zhou, W.D. and Chen, J.S. (2018), "3D Printing of Carbon Fiber Reinforced Plastics and their Applications", Mater. Sci. Forum, 913, 558-563. https://doi.org/10.4028/www.scientific.net/MSF.913.558
  52. Zhou, S. and Wang, M. (2006), "Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition", Struct. Multidiscipl. Optimiz., 33(2), 89-111. https://doi.org/10.1007/s00158-006-0035-9

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