Analysis of RC beams subjected to shock loading using a modified fibre element formulation

다국어 초록 (Multilingual Abstract)

In this paper an improved one-dimensional frame element for modelling of reinforced concrete beams and columns subjected to impact is presented. The model is developed in the framework of a flexibility fibre element formulation that ignores the shear effect at material level. However, a simple

shear cap is introduced at section level to take account of possible shear failure. The effect of strain rate at the fibre level is taken into account by using the dynamic increase factor (DIF) concept for steel and concrete. The capability of the formulation for estimating the element response history is demonstrated by some numerical examples and it is shown that the developed 1D element has the potential to be used for dynamic analysis of large framed structures subjected to impact of air blast and rigid objects.

참고문헌 (Reference)

1 Fujikake, K., "“Dynamic properties of concrete materials with high rates of tri-axial compressive loads”, Structures Under Shock and Impact VI" WIT press 511-522, 2000

2 Mander, J.B., "Theoretical stress-strain model for confined concrete" 114 (114): 1804-1826, 1988

3 Scott, B.D., "Stress-strain behaviour of concrete confined by overlapping hoops at low and high strain rates" 79 (79): 13-27, 1982

4 Eibl, J., "Strain-rate-sensitive constitutive law for concrete" 125 (125): 1411-1420, 1999

5 Ross, C.A., "Split-hopkinson pressure-bar tests on concrete and mortar in tension and compression" 86 (86): 475-481, 1989

6 Beshara,F.B.A., "Smeared crack analysis for reinforced concrete structures under blast-type loading" 45 (45): 119-140, 1993

7 Malvar, L.J., "Review of strain rate effects for concrete in tension" 95 (95): 614-616, 1999

8 Malvar, L.J., "Review of static and dynamic properties of steel reinforcing bars" 95 (95): 609-616, 1998

9 Krauthammer, T., "Response of reinforced concrete elements to severe impulsive loads" 116 (116): 1061-1079, 1990

10 Magnusson, J., "Reinforced high strength concrete beams subjected to air blast loading" WIT Press 53-62, 2004

11 Monti, G., "Reinforced concrete fibre beam element with bond-slip" 126 (126): 654-661, 2000

12 Ian M. May, "Reinforced concrete beams under drop-weight impact loads" 국제구조공학회 3 (3): 79-90, 2006

13 Bathe, J.K., "On three-dimensional nonlinear analysis of concrete structures" 52 : 385-409, 1979

14 Shirai, K., "Numerical studies of impact on reinforced concrete beam of hard missile" 150 (150): 483-489, 1994

15 Abbas, H., "Nonlinear response of concrete beams and plates under impact loading" 30 (30): 1039-1053, 2004

16 Valipour, H.R., "Non-local damage formulation for a flexibility-based frame element" 2009

17 CEB model code: Design code, "London, Thomas Telford"

18 Spacone, E., "Localization issues in nonlinear frame analysis" 418-421, 1999

19 Miyamoto, A., "Integrated analytical procedure for concreteslabs under impact loads" 120 (120): 1695-1702, 1994

20 Banthia, N., "Impact testing of concrete using a drop-weight impact machine" 29 (29): 63-69, 1989

21 Kishi, N., "Impact behavior of shear-failure-type RC beams without shear rebar" 27 (27): 955-968, 2002

22 Saatci, S., "Finite element analysis of shear-critical reinforced concrete beams under impact loading" 2005

23 Petrangeli, M., "Fibre element for cyclic bending and shear of RC structures. I: theory" 125 (125): 994-1001, 1999

24 Spacone, E., "Fibre beam-column model for non-linear analysis of R/C frames: Part I. Formulation" 25 (25): 711-725, 1996

25 Neuenhofer, A., "Evaluation of nonlinear frame finite-element models" 123 (123): 958-966, 1997

26 Seabold, R.H., "Dynamic shear strength of reinforced concrete beams, Part 2" AD0644823, Technical rept 1967

27 Chen, W.F., "Constitutive equations for engineering materials" Elsevier 1994

28 Saatci, S., "Behaviour and modelling of reinforced concrete structures subjected to impact loads" University of Toronto 2007

29 Marini, A., "Analysis of reinforced concrete elements including shear effects" 103 (103): 645-655, 2006

30 Valipour, H.R, "A Novel flexibility based beam-column element for nonlinear analysis of reinforced concrete frames" Report No. Uniciv R-447, University of New South Wales 2007