International Journal of Concrete Structures and Materials

Korea Concrete Institute (한국콘크리트학회)
권호 표지
DOI QR코드

DOI QR Code

A Plastic-Damage Model for Lightweight Concrete and Normal Weight Concrete

  • Koh, C.G. (National University of Singapore, Dept. of Civil Engineering) ;
  • Teng, M.Q. (National University of Singapore, Dept. of Civil Engineering) ;
  • Wee, T.H. (National University of Singapore, Dept. of Civil Engineering)
  • Published : 2008.12.30
Download PDF
⟨ Previous Next ⟩

Abstract

A new plastic-damage constitutive model applicable to lightweight concrete (LWC) and normal weight concrete (NWC) is proposed in this paper based on both continuum damage mechanics and plasticity theories. Two damage variables are used to represent tensile and compressive damage independently. The effective stress is computed in the Drucker-Prager multi-surface plasticity framework. The stress is then computed by multiplication of the damaged part and the effective part. The proposed model is coded as a user material subroutine and incorporated in a finite element analysis software. The constitutive integration algorithm is implemented by adopting the operator split involving elastic predictor, plastic corrector and damage corrector. The numerical study shows that the algorithm is efficient and robust in the finite element analysis. Experimental investigation is conducted to verify the proposed model involving both static and dynamic tests. The very good agreement between the numerical results and experimental results demonstrates the capability of the proposed model to capture the behaviors of LWC and NWC structures for static and impact loading.

Keywords

References

  1. Clark, J. L., Structural Lightweight Aggregate Concrete, Blackie Academic and Professional, London, 1993
  2. ACI Committee 213, Guide for Structural Lightweight Aggregate Concrete (ACI 213R-03), American Concrete Institute, Farmington Hills, Michigan, 2003
  3. Bathe, K. J., Finite Element Procedures, Prentice Hall Englewood Cliffs, New Jersey, 1996
  4. Wu, C. H., "Tension Compression Test of a Concrete Specimen via a Structure Damage Theory," Proceedings of Continuum Damage Theory and Effective Moduli and Continuum Modeling of Discrete Structure, ASCE, New York, 1985, pp.1-12
  5. Krajcinovic, D. and Fanella, D., "A Micromechanical Damage Model for Concrete," Engineering Fracture Mechanics, Vol.25, No.5-6, 1986, pp. 585-596 https://doi.org/10.1016/0013-7944(86)90024-X
  6. Sumarac, D. and Krajcinovic, D., "A Self-consistent Model for Microcrack-weakened Solid," Mechanics of Materials, Vol.6, No.4, 1987, pp. 39-52 https://doi.org/10.1016/0167-6636(87)90021-4
  7. Ju, J. W., "On Energy-based Coupled Elastoplastic Damage Theories: Constitutive Modeling and Computational Aspects," International Journal of Solids and Structures, Vol.25, No.7, 1989, pp. 803-833 https://doi.org/10.1016/0020-7683(89)90015-2
  8. Ohtani, Y. and Chen, W. F., "Multiple Hardening Plasticity for Concrete Materials," Journal of Engineering Mechanics, ASCE, Vol.114, 1988, pp. 1890-1910 https://doi.org/10.1061/(ASCE)0733-9399(1988)114:11(1890)
  9. Feenstra, P. H. and De Borst, R., "A Composite Plasticity Model for Concrete," International Journal of Solids and Structures, Vol.33, No.5, 1996, pp. 707-730 https://doi.org/10.1016/0020-7683(95)00060-N
  10. Chen, W. F., Constitutive Equations for Engineering Materials, Elsevier, London, 1994
  11. Griffith, A. A., "The Theory of Rupture," Proceedings of the $1^{st}$ Institutional Congress of Applied Mechanics, Delft, 1925, pp.55-63
  12. Bazant, Z. P. and Planas, J., Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC Press, Boca Raton, Florida, 1999
  13. Elfgren, L., ed, Fracture mechanics of concrete structures, Chapman and Hall, London, 1989
  14. ACI Committee 446, Fracture Mechanics of Concrete: Concept, Models, and Determination of Material Properties, American Concrete Institute, 1992
  15. Mazars, J. and Pijaudier-Cabot, G., "Continuum Damage Theory-Application to Concrete," Journal of Engineering Mechanics, ASCE, Vol.115, No.2, 1989, pp. 345-365 https://doi.org/10.1061/(ASCE)0733-9399(1989)115:2(345)
  16. Cervera, M., Oliver, J., and Faria, R., "Seismic Evaluation of Concrete Dams via Continuum Damage Models," Earthquake Engineering and Structural Dynamics, Vol.24, No.9, 1995, pp. 1225-1245 https://doi.org/10.1002/eqe.4290240905
  17. Mazars, J., "A Model of Unilateral Elastic Damageable Material and Its Application to Concrete," Proceedings of the RILEM International Conference on Fracture Mechanics of Concrete, Lausanne, Switzerland, 1985, pp.61-71
  18. Ortiz, M., "A Constitutive Theory for the Inelastic Behavior of Concrete," Mechanics of Materials, Vol.4, No.1, 1985, pp. 67-93 https://doi.org/10.1016/0167-6636(85)90007-9
  19. Chow, C. L. and Wang, J., "An Anisotropic Theory of Continuum Damage Mechanics for Ductile Fracture," Engineering Fracture Mechanics, Vol.27, No.5, 1987, pp. 547-558 https://doi.org/10.1016/0013-7944(87)90108-1
  20. Simo, J. C. and Ju, J. W., "Strain- and Stress-based Continuum Damage Models-I. Formulation," International Journal of Solids and Structures, Vol.23, No.7, 1987a, pp. 821-840 https://doi.org/10.1016/0020-7683(87)90083-7
  21. Lemaitre, J., "A Continuum Damage Mechanics Model for Ductile Fracture," Journal of Engineering Materials and Technology, Vol.107, No.1, 1985, pp. 83-89 https://doi.org/10.1115/1.3225775
  22. Lee, J. and Fenves, G. L., "Plastic-Damage Model for Cyclic Loading of Concrete Structures," Journal of Engineering Mechanics, ASCE, Vol.124, No.8, 1998, pp. 892-900 https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892)
  23. Yazdani, S. and Schreyer, H. L., "Combined Plasticity and Damage Mechanics Model for Plain Concrete," Journal of Engineering Mechanics, ASCE, Vol.116, No.7, 1990, pp. 1435-1450 https://doi.org/10.1061/(ASCE)0733-9399(1990)116:7(1435)
  24. Lubliner, J., Oliver, J., Oller, S., and Onate, E., "A Plasticdamage Model for Concrete," International Journal of Solids and Structures, Vol.25, No.3, 1989, pp. 299-326 https://doi.org/10.1016/0020-7683(89)90050-4
  25. Kupfer, H., Hilsdorf, H. K., and Rusch, H., "Behaviour of Concrete under Biaxial Stress," Journal of American Concrete Institute, Vol.66, No.8, 1969, pp. 656-666
  26. Lee, J. and Fenves, G. L., "A Plastic-damage Concrete Model for Earthquake Analysis of Dams," Earthquake Engineering and Structural Dynamics, Vol.27, No.9, 1998, pp. 937-956 https://doi.org/10.1002/(SICI)1096-9845(199809)27:9<937::AID-EQE764>3.0.CO;2-5
  27. Wu, J. Y., Li, J., and Faria, R., "An Energy Release Ratebased Plastic-damage Model for Concrete," International Journal of Solids and Structures, Vol.43, No.3-4, 2006, pp. 583-612 https://doi.org/10.1016/j.ijsolstr.2005.05.038
  28. Koiter, W. T., "General Theorems for Elastic-plastic Solids," Progress in Solid Mechanics 6, Amsterdam, Netherland, 1960, pp.127-221
  29. ABAQUS Theory manual, Version 6.1, Hibbitt, Karlsson and Sorensen Inc, 2001
  30. Hughes, T. J. R., The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1987
  31. Zienkiewicz, O. C. and Taylor, R. L., The Finite Element Method, V.1. The Basis, Butterworth Heinemann, Oxford, 2000
  32. Belytschko, T., Liu, W. K., and Moran, B., Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons, New York, 2000
  33. Simo, J. C. and Taylor, R. L., "Consistent Tangent Operators for Rate-independent Elastoplasticity," Computer Methods in Applied Mechanics and Engineering, Vol.48, No.1, 1985, pp. 101-118 https://doi.org/10.1016/0045-7825(85)90070-2
  34. Simo, J. C. and Hughes, T. J. R., Computational Inelasticity, Springer, New York, 1998
  35. Simo, J. C. and Hughes, T. J. R., "On the Variational Foundations of Assumed Strain Methods," Journal of Applied Mechanics, Vol.53, No.1, 1986, pp. 51-54 https://doi.org/10.1115/1.3171737
  36. Koiter, W. T., "Stress-Strain Relations, Uniqueness and Variational Theorems for Elastic-Plastic Materials with a Singular Yield Surface," Quarterly of Applied Mathematics, Vol.11, No.2, 1953, pp. 350-354 https://doi.org/10.1090/qam/59769
  37. Naghdi, P. M., "Stress-Strain Relations in Plasticity and Thermoplasticity," Proceedings of the 2nd Symposium on Naval Structural Mechanics, Pergamon Press, London, 1960, pp.121-169
  38. ABAQUS/Standard User's Manual, Version 6.1, Hibbitt, Karlsson and Sorensen Inc, 2001
  39. Blaheta, R., "Convergence of Newton-type Methods in Incremental Return Mapping Analysis of Elasto-plastic Problems," Computer Methods in Applied Mechanics and Engineering, Vol.147, No.1-2, 1997, pp. 167-185 https://doi.org/10.1016/S0045-7825(97)00012-1

Cited by

  1. End-Friction Effect on Concrete Cubes with Passive Confinement vol.30, pp.8, 2018, https://doi.org/10.1061/(ASCE)MT.1943-5533.0002336