Applied Technologies and Innovations

  Previous Article | Back to Volume | Next Article
  Abstract | References | Citation | Download | Preview | Statistics
Volume 5
Issue 2
Online publication date 2011-11-01
Title Finite element modeling incorporating non-linearity of material behavior based on the fib Model Code 2010
Author Han Ay Lie, Joko Purnomo
Non linearity is a prominent characteristic of most cement-based material. This nonlinear behavior is observed even at very low loading levels. When strain softening is present, the increase in loading will result in a decrease of structural stiffness.
Most existing programs, including SAP 2000, takes into account geometric nonlinearity, but assumes a constant stiffness modulus throughout the loading process. This will result in a less accurate outcome, and can further significantly influence analysis of the overall behavior of the structure.
A Finite Element Program written in the Visual Basic programming language was developed to take into account nonlinear behavior of the modulus of elasticity and the Poisson Ratio, as a function of increasing principal stresses. The results of this program were validated by laboratory tested specimens to compare the load-deformation response and accuracy of the model. The Federal Institute of Technology, Europe Model Code 2011 was used to model the material behavior and failure criterion.
Bathe, K-J., 2006. Finite element procedures, First edition, Prentice-Hall

Cook, R., Malkus, D., Plesha, M., and Witt, R., 2002, Concepts and applications of finite element analysis, Fourth Edition, John Wiley and Sons

Dahl, K., 1992. Rapport 7.6, Project 7, Uniaxial stress-strain curves for normal and high strength concretes, Department of Structural Engineering, Technical University Denmark

Davies, J. and Nath, P., 1967. “Complete load-deformation curves for plain concrete beams”, Building Science, Vol. 2, pp. 215-221, Pergamon Press

Hampel, T., Scheerer, S., Speck, K. and Curbach, M., 2001. “High strength concrete under biaxial and triaxial loading,” Proceeding of the 6th International Symposium on Utilization of High Strength/High Performance Concrete, Vol.2, Leipzig, Germany, pp.1027-1036

Hillerborg, A, 1983. “Analysis of one single crack,” in:  Wittman, F. (Ed.), Facture mechanics of concrete, development in civil engineering 7, Elsevier Science Publisher, Amsterdam, pp.223-49

Kupfer, H., Hilsdorf, H., and Rusch, H., 1969. “Behavior of concrete under biaxial stresses,” American Concrete Institute Journal, Proceedings Vol.66, No.8, August, pp.656-66

Ottosen, N. S., 1977. “A failure criterion for concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol.103, No.EM4, pp.527-35

Ottosen, N., 1979. “Constitutive model for short-time loading of concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol.105, No.EM1, pp.127-41

Task Group 8.2, CEB-FIB, 2008. State-of-art report on “Constitutive modeling of high strength/high performance concrete,” International Federation for Structural Concrete, Switzerland

Vecchio, F. and Collins, M., 1986. “The modified compression-field theory for reinforced concrete elements subjected to shear,” ACI Journal Proceedings, Vol.83, No.2, pp.219-31

Zienkiewicz, O., Taylor, R., and Zhu, J., 2006. “The finite element method for solid and structural mechanics,” Sixth Edition, Elsevier Butterworth-Heinemann, Burlington, UK

FIB Bulletin, Nr.55 and 56, 2010. Model Code 2010, First Complete Draft, Vol.1 and 2, Federal Institute of Technology, Lausanne, Switzerland

Keywords Modulus, principal stresses, nonlinearity, FEM.
Pages 52-62
Download Full PDF Download
  Previous Article | Back to Volume | Next Article
Search in articles
Journal Published articles
ATI 263
Journal Hits
ATI 776917
Journal Downloads
ATI 7696
Total users online -