Structural Engineering and Mechanics

  • 제81권5호
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  • Pages.617-631
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  • 2022
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Reassessment of viscoelastic response in steel-concrete composite beams

  • Miranda, Marcela P. (Department of Civil Engineering, Engineering School, Federal University of Rio Grande do Sul) ;
  • Tamayo, Jorge L.P. (Department of Civil Engineering, Engineering School, Federal University of Rio Grande do Sul) ;
  • Morsch, Inacio B. (Department of Civil Engineering, Engineering School, Federal University of Rio Grande do Sul)
  • 투고 : 2020.07.15
  • 심사 : 2021.12.17
  • 발행 : 2022.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper the viscoelastic responses of four experimental steel-concrete composite beams subjected to highly variable environmental conditions are investigated by means of a finite element (FE) model. Concrete specimens submitted to stepped stress changes are also evaluated to validate the current formulations. Here, two well-known approaches commonly used to solve the viscoelastic constitutive relationship for concrete are employed. The first approach directly solves the integral-type form of the constitutive equation at the macroscopic level, in which aging is included by updating material properties. The second approach is postulated from a rate-type law based on an age-independent Generalized Kelvin rheological model together with Solidification Theory, using a micromechanical based approach. Thus, conceptually both approaches include concrete hardening in two different manners. The aim of this work is to compare and analyze the numerical prediction in terms of long-term deflections of the studied specimens according to both approaches. To accomplish this goal, the performance of several well-known model codes for concrete creep and shrinkage such as ACI 209, CEB-MC90, CEB-MC99, B3, GL 2000 and FIB-2010 are evaluated by means of statistical bias indicators. It is shown that both approaches with minor differences acceptably match the long-term experimental deflection and are able to capture complex oscillatory responses due to variable temperature and relative humidity. Nevertheless, the use of an age-independent scheme as proposed by Solidification Theory may be computationally more advantageous.

키워드

과제정보

The CNPq and CAPES financially supported the research described in this paper.

참고문헌

  1. ABAQUS (2011), Standard User's Manual, Version 6.11, Hibbit, Karlsson and Sorensen Inc, Pawtucket, RI, USA.
  2. Abu-Sena, A.B., Shaaban, I.G., Soliman, M.S. and Gharib, K.A. (2020), "Effect of geometrical properties on the strength of externally prestressed steel-concrete composite beams", Proc. Inst. Civil Eng.-Struct. Build., 173(1), 42-62. https://doi.org/10.1680/jstbu.17.00172.
  3. ACI Committee 209 (2008), Guide for Modeling and Calculating Shrinkage and Creep in Hardened Concrete, American Concrete Institute, Farmington Hills, MI, USA.
  4. Augeard, E., Ferrier, E. and Michel, L. (2020), "Mechanical behavior of timber-concrete composite members under cyclic loading and creep", Eng. Struct., 210(1), 1-14. https://doi.org/10.1016/j.engstruct.2020.110289.
  5. Baskar, K., Shanmugam, N.E. and Thevendran, V. (2002), "Finite element analysis of steel-concrete composite plate girder", J. Struct. Eng., 128(9), 1158-1168. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:9(1158).
  6. Bazant, Z.P. and Bajewa, S. (1995), "Creep and shrinkage prediction model for analysis and design of concrete structures Model B3", Mater. Struct., 28(180), 357-365. https://doi.org/10.1007/bf02473152.
  7. Bazant, Z.P. and Panula, L. (1978), "Practical prediction of time dependent deformations of concrete, Part I", Mater. Struct., 11(5), 307-316. https://doi.org/10.1007/BF02473872.
  8. Bazant, Z.P. and Prasannan, S. (1989a), "Solidification theory for creep I: Formulation", J. Eng. Mech., 115(8), 1691-1703. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:8(1691).
  9. Bazant, Z.P. and Prasannan, S. (1989b), "Solidification theory for creep II: Verification and application", J. Eng. Mech., 115(8), 1704-1725. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:8(1704).
  10. Bazant, Z.P. and Wu, S.T. (1973), "Dirichlet series creep function for aging concrete", J. Eng. Mech. Div., 99(EM2), 367-387. https://doi.org/10.1061/JMCEA3.0001741.
  11. Bradford, M.A. and Gilbert, R.I. (1991), "Time-dependent behavior of simply-supported steel-concrete composite beams", Mag. Concrete Res., 43(157), 265-274. https://doi.org/10.1680/macr.1991.43.157.265.
  12. Chapman, J. and Balakrishnan, S. (1964), "Experiments on composite beams", T. Struct. Eng., 42(11), 369-383.
  13. Chong, K.T. (2004), "Numerical modelling of time-dependent cracking and deformation of reinforced concrete structures". PhD Thesis, The University of New South Wales, School of Civil & Engineering, Sydney, Australia.
  14. Comite Euro-International du Beton CEB (1993), CEB-FIP Model Code 1990, CEB Bulletin d'Information No 213/214, Committee European du Beton-Federation Internationale de la Precontrainte, Lausanne, Switzerland.
  15. Comite Euro-International du Beton CEB (1999), Structural Concrete-Textbook on Behavior, Design and Performance, Updated Knowledge of the CEB-FIP Model code 1990, fib bulletin 2, V. 2, Federation Internationale du Beton, Lausanne, Switzerland.
  16. Damjanic, F. and Owen, D.R.J. (1984), "Practical considerations for modeling of post-cracking behavior for finite element analysis of reinforced concrete structures", Proceedings of the International Conference on Computer-aided Analysis and Design of Concrete Structures, Swansea, U.K.
  17. Dias, M., Tamayo, J.L.P., Morsch, I.B. and Awruch, M.A. (2015), "Time dependent finite element analysis of steel-concrete composite beams considering partial interaction", Comput. Concrete, 15(4), 687-707. https://doi.org/10.12989/cac.2015.15.4.687.
  18. Fan, J., Nie, J., Li, Q. and Wang, H. (2010a), "Long-term behavior of composite beams under positive and negative bending. I: Experimental study", J. Struct. Eng., 136(7), 849-857. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000175.
  19. Fan, J., Nie, X., Li, Q. and Li, Q. (2010b), "Long-term behavior of composite beams under positive and negative bending. II: Analytical study", J. Struct. Eng., 136(7), 858-865. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000176.
  20. Federation International du Beton FIB (2012), FIB-2010 Model code 2010, bulletin 65, V. 1, Federation Internationale du Beton, Lausanne, Switzerland.
  21. Gardner, N.J. (2004), "Comparison of prediction provisions for drying shrinkage and creep of bormal strength concretes", Can. J. Civil Eng., 31(5), 767-775. https://doi.org/10.1139/l04-046.
  22. Gardner, N.J. and Lockman, M.J. (2001), "Design provisions for drying shrinkage and creep of normal strength concrete", ACI Mat. J., 98(2), 159-167.
  23. Geng, Y., Wang, Y., Chen, J. and Zhao, M. (2020), "Time-dependent behavior of 100% recycled coarse aggregate concrete filled steel tubes subjected to high sustained load level", Eng. Struct., 210(1), 1-17. https://doi.org/10.1016/j.engstruct.2020.110353.
  24. Henriques, D., Goncalves, R. and Camotim D. (2019), "A viscoelastic GBT-based finite element for steel-concrete composite beams", Thin Wall. Struct., 145, 1-11. https://doi.org/10.1016/j.tws.2019.106440.
  25. Henriques, D., Goncalves, R., Sousa, C. and Camotim D. (2020), "GBT-based time-dependent analysis of steel-concrete composite beams including shear lag and concrete cracking effects", Thin Wall. Struct., 150, 1-17. https://doi.org/10.1016/j.tws.2020.106706.
  26. Jofriet, J.C. and McNeice, G.M. (1971), "Finite element analysis of reinforced concrete slabs", J. Struct. Div., 97(3), 785-806. https://doi.org/10.1061/JSDEAG.0002845.
  27. Liang, Q., Uy, B., Bradford, M. and Ronagh, H. (2005), "Strength analysis of steel-concrete composite beams in combined bending and shear", J. Struct. Eng., 131(10), 1593-1600. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001432.
  28. Macorini, L, Fragiacomo, M., Amadio, C. and Izzuddin, B.A. (2006), "Long-term analysis of steel-concrete composite beams: FE modeling for effective width evaluation", Eng. Struct., 28(8), 1110-1121. https://doi.org/10.1016/j.engstruct.2005.12.002.
  29. Moreno, J.A., Tamayo, J.L., Morsch, I.B., Miranda, M.P. and Reginato, L.H. (2019), "Statistical bias indicators for the long-term displacement of steel-concrete composite beams", Comput. Concrete, 24(4), 379-397. https://doi.org/10.12989/cac.2019.24.4.379.
  30. Moscoso, A.M., Tamayo, J.L. and Morsch, I.B. (2017), "Numerical simulation of external pre-stressed steel-concrete composite beams", Comput. Concrete, 19(2), 191-201. https://doi.org/10.12989/cac.2017.19.2.191.
  31. Muller, H.S. and Hilsdorf (1990), Evaluation of the Time Dependent Behavior of Concrete, Bulletin d'Information No 199, Committee Euro-International du Beton (CEB), Lausanne, Switzerland.
  32. Nguyen, Q. and Hjiaj M. (2016), "Nonlinear time-dependent behavior of composite steel-concrete beams", ASCE J. Struct. Eng., 142(5), 04015175. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001432.
  33. Povoas, R. (1991), "Nonlinear models for the analysis and design of concrete structures including time dependent effects", Doctoral Thesis, University of Porto.
  34. Ramnavas, M.P., Patel, K.A., Chaudhary, S. and Nagpal, A.K. (2015), "Cracked span length beam element for service load analysis of steel-concrete composite bridges", Comput. Struct., 157, 201-208. https://doi.org/10.1016/j.compstruc.2015.05.024.
  35. Reginato, L.H., Tamayo, J.L.P. and Morsch, I.B. (2018), "Finite element study of effective width in steel-concrete composite beams under long-term service loads", Lat. Am. J. Solid. Struct., 15(8), 1-25. http://doi.org/10.1590/1679-78254599.
  36. Rex, O.C. and Easterling, W.S. (2000), "Behavior and modeling of reinforced composite slab in tension", J. Struct. Eng., 126(7), 764-771. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:7(764).
  37. Ross, A.D. (1958), "Creep of concrete under variable stress", J. Am. Concete Inst., 29(9), 739- 758.
  38. Sakr, M.A. and Sakla, S.S. (2008), "Long term deflection of cracked composite beams with nonlinear partial shear interaction: I-Finite element modeling", J. Constr. Steel Res., 64(12), 1446-1455. https://doi.org/10.1016/j.jcsr.2008.01.003.
  39. Tamayo, J.L.P., Franco, M.I., Morsch, I.B., Desir, J.M. and Wayar, A.M. (2019), "Some aspects of numerical modeling of steel-concrete composite beams with prestressed tendons", Lat. Am. J. Solid. Struct., 16(7), 1-19. http://dx.doi.org/10.1590/1679-78255599.
  40. Tamayo, J.L.P., Morsch, I.B. and Awruch, M.A. (2015), "Short-time numerical analysis of steel-concrete composite beams", J. Brazil Soc. Mech. Sci. Eng., 37(4), 1097-1109. https://doi.org/10.1007/s40430-014-0237-9.
  41. Varshney, L., Patel, K., Chaudhary, S. and Nagpal, A. (2019), "An efficient and novel strategy for control of cracking, creep and shrinkage effects in steel-concrete composite beams", Struct. Eng. Mech., 70(6), 751-763. https://doi.org/10.12989/sem.2019.70.6.751.
  42. Xiang, T., Yang, C. and Zhao, G. (2015), "Stochastic creep and shrinkage effect of steel-concrete composite beam", Adv. Struct. Eng., 18(8), 1129-1140. https://doi.org/10.1260/1369-4332.18.8.1129.
  43. Xu, L., Nie, X. and Tao, M. (2018), "Rotational modeling for cracking behavior of RC slabs in composite beams subjected to a hogging moment", Constr. Build. Mater., 192, 357-365. https://doi.org/10.1016/j.conbuildmat.2018.10.163.
  44. Zhang, H., Geng, Y., Wang, Y. and Wang, Q. (2020), "Long-term behavior of continuous composite slabs made with 100% fine and coarse recycled aggregate", Eng. Struct., 212(1), 1-17. https://doi.org/10.1016/j.engstruct.2020.110464.