Browse > Article
http://dx.doi.org/10.4334/IJCSM.2008.2.2.123

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)
Publication Information
International Journal of Concrete Structures and Materials / v.2, no.2, 2008 , pp. 123-136 More about this Journal
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
lightweight concrete; continuum damage mechanics; plasticity; finite element analysis; operator split;
Citations & Related Records
연도 인용수 순위
  • Reference
1 ACI Committee 446, Fracture Mechanics of Concrete: Concept, Models, and Determination of Material Properties, American Concrete Institute, 1992
2 Bazant, Z. P. and Planas, J., Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC Press, Boca Raton, Florida, 1999
3 Elfgren, L., ed, Fracture mechanics of concrete structures, Chapman and Hall, London, 1989
4 Ortiz, M., "A Constitutive Theory for the Inelastic Behavior of Concrete," Mechanics of Materials, Vol.4, No.1, 1985, pp. 67-93   DOI   ScienceOn
5 Sumarac, D. and Krajcinovic, D., "A Self-consistent Model for Microcrack-weakened Solid," Mechanics of Materials, Vol.6, No.4, 1987, pp. 39-52   DOI   ScienceOn
6 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   DOI   ScienceOn
7 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   DOI   ScienceOn
8 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   DOI   ScienceOn
9 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   DOI   ScienceOn
10 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   DOI
11 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
12 Zienkiewicz, O. C. and Taylor, R. L., The Finite Element Method, V.1. The Basis, Butterworth Heinemann, Oxford, 2000
13 Simo, J. C. and Hughes, T. J. R., Computational Inelasticity, Springer, New York, 1998
14 ABAQUS Theory manual, Version 6.1, Hibbitt, Karlsson and Sorensen Inc, 2001
15 Hughes, T. J. R., The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1987
16 Belytschko, T., Liu, W. K., and Moran, B., Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons, New York, 2000
17 Clark, J. L., Structural Lightweight Aggregate Concrete, Blackie Academic and Professional, London, 1993
18 ACI Committee 213, Guide for Structural Lightweight Aggregate Concrete (ACI 213R-03), American Concrete Institute, Farmington Hills, Michigan, 2003
19 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   DOI
20 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   DOI
21 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
22 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
23 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   DOI   ScienceOn
24 Bathe, K. J., Finite Element Procedures, Prentice Hall Englewood Cliffs, New Jersey, 1996
25 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   DOI   ScienceOn
26 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
27 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   DOI   ScienceOn
28 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   DOI   ScienceOn
29 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   DOI   ScienceOn
30 Lemaitre, J., "A Continuum Damage Mechanics Model for Ductile Fracture," Journal of Engineering Materials and Technology, Vol.107, No.1, 1985, pp. 83-89   DOI
31 Chen, W. F., Constitutive Equations for Engineering Materials, Elsevier, London, 1994
32 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   DOI   ScienceOn
33 Krajcinovic, D. and Fanella, D., "A Micromechanical Damage Model for Concrete," Engineering Fracture Mechanics, Vol.25, No.5-6, 1986, pp. 585-596   DOI   ScienceOn
34 Ohtani, Y. and Chen, W. F., "Multiple Hardening Plasticity for Concrete Materials," Journal of Engineering Mechanics, ASCE, Vol.114, 1988, pp. 1890-1910   DOI
35 Griffith, A. A., "The Theory of Rupture," Proceedings of the $1^{st}$ Institutional Congress of Applied Mechanics, Delft, 1925, pp.55-63
36 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   DOI   ScienceOn
37 Koiter, W. T., "General Theorems for Elastic-plastic Solids," Progress in Solid Mechanics 6, Amsterdam, Netherland, 1960, pp.127-221
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   DOI   ScienceOn