A Non-Linear 3D FEM to Simulate Un-Bonded Steel Reinforcement Bars under Axial and Bending Loads
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Abstract
This paper presents development of 3D non-linear finite element model to simulate the response and predict the behavior of un-bonded mild steel bars under axial and bending loading. The models were successfully analyzed with the finite element software ANSYS, taking into account the nonlinear material properties of the reinforced mild steel bars. A bending strain relationship is derived based on a parametric study involving multiple nonlinear finite element models. A mild steel fracture criterion based on low-cycle fatigue models is proposed to control the total (elastic and plastic) strains in the mild steel bar below a maximum permissible limit. In addition, FE predictions of bar elongation due to strain penetration reasonably agreed with a proposed empirical equation by Raynor and Lehman. It was concluded that the equation proposed by Raynor and Lehman is considered valid for estimating the additional unbounded length and can be used in both analysis and design.
- J. Sptanton and S. Nakaki, “Design guidelines for precast concrete seismic structural systems,” PRESSS Report No. 01/03-09, UW Report No. SM 02-02, Seattle, WA 98195, February 2002.
- R. Hawileh, H. Tabatabai, A. Rahman, and A. Amro, “Non-dimensional design procedures for precast, prestressed concrete hybrid frames,” J PCI 2005, Vol. 51. No. 5, pp. 110-130, 2005.
- R. Hawileh, A. Rahman, and H. Tabatabai, “3-D FE modeling and low-cycle fatigue fracture criteria of mild steel bars subjected to axial and bending loading,” Proceedings of McMat, Joint ASME/ASCE/SES Conference on Mechanics and Materials, Baton Rouge, Louisiana, June 2005.
- G. S. Cheok and W. C. Stone, “Performance of 1/3 scale model precast concrete beam-column connections subjected to cyclic inelastic loads,” Report No. 4, Report No. NISTIR 5436, NIST, Gaithersburg, MD, June 1994.
- J. B. Mander and F. D. Panthaki, “Low-cycle fatigue behavior of reinforcing steel,” Journal of Materials in Civil Engineering-ASCE, Vol. 6, No. 4, pp. 453-468, 1994.
- W. Liu, “Low cycle fatigue of A36 steel bars subjected to bending with variable amplitudes,” Ph. D Thesis, State University of New York at Buffalo, 2001.
- ANSYS. User’s manual. Version 8.0, 2004.
- J. A. Collins, “Failure of materials in mechanical design,” Second Edition, Ohio State University, Columbus, OH, 1993.
- S. S. Manson, “Behavior of materials under conditions of thermal stress,” Heat Transfer Symposium, University of Michigan Engineering Research Institute, Ann Arbor, Mich, pp. 9-75, 1953.
- S. K. Koh and R. I. Stephens, “Mean stress effects on low cycle fatigue for high strength steel,” Fatigue Fracture of Engineering Materials and Structure, Vol. 14, No.4, pp. 413-428, 1991.
- J. B. Mander and F. D. Panthaki, “Low-cycle fatigue behavior of reinforcing steel,” Journal of Materials in Civil Engineering-ASCE, Vol. 6, No. 4, pp. 453-468, 1994.
- R. Hawileh, A. Rahman, and H. Tabatabai, “Low cycle fatigue criteria for mild steel bars under combined bending and axial loading,” IMAC-XXIII, Society for Experimental Mechanics, Inc, Orlando, Florida, February 2005.
- D. J. Raynor, D. E. Lehman, and J. F. Stanton, “Bond-slip response of reinforcing bars grouted in ducts,” J ACI Structure, Vol. 99, No. 5, pp. 568-577, 2002.