Structural Engineering and Mechanics

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Application of softened truss model with plastic approach to reinforced concrete beams in torsion

  • Lu, Jun-Kai (Department of Civil Engineering, National Pingtung University of Science and Technology) ;
  • Wu, Wen-Hsiung (Department of Civil Engineering, National Pingtung University of Science and Technology)
  • Published : 2001.04.25
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Abstract

The present paper discusses the behavior of the reinforced concrete beams subjected to torsion by applying the endochronic plastic model in conjunction with the softened truss model. The endochronic constitutive equations are developed to describe the behavior of concrete. The mechanical behavior of concrete is decomposed into hydrostatic part and deviatoric part. New definition of the bulk modulus and the shear modulus are defined in terms of compressive strength of concrete. Also, new deviatoric hardening function is developed. Then, the endochronic constitutive equations of concrete are applied with the softened truss model for the behavior of the reinforced concrete beams subjected to torsion. The theoretical results obtained based on the present model are compared with the experimental data. The present model has shown the ability to describe the behavior of reinforced concrete beams subjected to torsion.

Keywords

References

  1. Bazant, Z.P., and Bhat, P.D. (1976), "Endochronic theory of inelasticity and failure of concrete", J. of the Eng. Mech. Div., ASCE, 102, 701-722.
  2. Bazant, Z.P., and Bhat, P.D. (1977), "Prediction of hysteresis of reinforced concrete members", J. of the Struct. Div., ASCE, 103, 153-167.
  3. Bazant, Z.P. (1978), "Endochronic inelasticity and incremental plasticity", Int. J. Solids and Struct., 14, 691-714. https://doi.org/10.1016/0020-7683(78)90029-X
  4. Belarbi, A., and Hsu, T.T.C. (1994), "Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete", ACI Struct. J., 91, 465-474.
  5. Belarbi, A., and Hsu, T.T.C. (1995), "Constitutive laws of softened concrete in biaxial tension-compression", ACI Struct. J., 92, 562-573.
  6. Fang, I.K. (1995), "Torsional behavior of high strength concrete beams(II)", NSC report, No. NSC84-2211-E-006-017, National Cheng Kung University, Tainan, Taiwan. ROC.
  7. Hsu, T.T.C., and Mo, Y.L. (1985), "Softening of concrete in torsional members-theory and tests", ACI J., 82, 291-303.
  8. Hsu, T.T.C. (1988), "Softened truss model theory for shear and torsion", ACI Struct. J., 85, 625-635.
  9. Hsu, T.T.C. (1991), "Nonlinear analysis of concrete torsional members", ACI Struct. J., 88, 675-682.
  10. Hsu, T.T.C., and Zhang, L.X. (1996), "Tension stiffening in reinforced concrete membrane elements", ACI Struct. J., 93, 108-115.
  11. Hognestad, E., Hanson, N.W., and McHenry, D. (1955), "Concrete stress distribution in ultimate strength design", ACI J., 52, 455-477.
  12. Lu, J.K. (1998), "The endochronic model for temperature sensitive materials", Int. J. of Plasticity, 14, 997-1012. https://doi.org/10.1016/S0749-6419(98)00042-4
  13. Pan, W.F., Yang, Y.S., and Lu, J.K. (1998), "Endochronic prediction for the mechanical ratchetting of a stepped beam subjected to steady tension and cyclic bending", Struct. Eng. and Mech., An Int. J., 6, 327-337. https://doi.org/10.12989/sem.1998.6.3.327
  14. Pang, X.B., and Hsu, T.T.C. (1996), "Fixed angle softened truss model for reinforced concrete", ACI Struct. J., 93, 197-207.
  15. Sinha, B.P., Gerstle, K.H., and Tulin, L.G. (1964), "Stress-strain relation for concrete under cyclic loading", ACI J., 61, 195-210.
  16. Spooner, D.C., and Dougill, J.W. (1975), "A quantitative assessment of damages sustained in concrete during compressive loading", Magazine of Conc. Res., 27, 151-160. https://doi.org/10.1680/macr.1975.27.92.151
  17. Valanis, K.C. (1971), "A theory of visco-plasticity without a yield surface", Archchives of Mech., 23, 517-551.
  18. Valanis, K.C. (1980), "Fundamental consequences of a new intrinsic time measure: Plasticity as a limit of the endochronic theory", Archives of Mech., 32, 171-191.
  19. Valanis, K.C., and Fan, J. (1983), "Endochronic analysis of cyclic elastoplastic strain fields in a notched plate", J. of Appl. Mech., 50, 789-974. https://doi.org/10.1115/1.3167147
  20. Watanabe, O., and Atluri, S.N. (1985), "A new endochronic approach to computational elasto-plasticity: An example of cyclically loaded cracked plate", J. of Appl. Mech., 52, 857-864. https://doi.org/10.1115/1.3169159
  21. Wu, H.C., and Yip, M.C. (1981), "Endochronic description of cyclic hardening behavior for metallic materials", J. of Eng. Mater. and Technol., ASME, 106, 212-217.
  22. Wu, H.C. and Wang, T.P. (1983), "Endochronic description of sand response to static loading", J. of Eng. Mech., ASCE, 109, 970-989. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:4(970)
  23. Wu, H.C. and Aboutorabi, M.R. (1988), "Endochronic modeling of coupled volumetric-deviatoric behavior of porous and granular material", Int. J. of Plasticity, 4, 163-181. https://doi.org/10.1016/0749-6419(88)90019-8
  24. Wu, H.C. and Lu, J.K. (1995), "Further development and application of an endochronic theory accounted for deformation induced anisotropy", Acta Mechanica, 109, 11-26. https://doi.org/10.1007/BF01176813
  25. Wu, H.C., Lu, J.K. and Pan, W.F. (1995), "Endochronic equation for finite plastic deformation and application to metal tube under torsion", Int. J. of Solids and Struct., 32, 1079-1097. https://doi.org/10.1016/0020-7683(94)00184-X

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