Spatial reliability analysis of explosive blast load damage to reinforced concrete columns

Abstract Columns are the key load-bearing elements in frame structures and exterior columns are probably the most vulnerable structural components to terrorist attack. In this paper, a spatial reliability analysis is conducted to predict the damage for reinforced concrete (RC) columns subject to explosive blast loading. The spatial variability of material and dimensional properties of RC columns are modelled by stationary and non-stationary random fields. The variability of blast loading is also taken into consideration. Monte Carlo simulation and numerical methods are used to derive Blast Reliability Curves for RC columns under explosive loading for a number of terrorism threat scenarios, based on a high–fidelity physics-based computer programme LS-DYNA to estimate design and residual axial load-carrying capacity of RC columns. It was found that spatial variability has a significant effect on structural reliabilities and the spatial model will lead to more accurate predictions of damage and safety risks.

[1]  M K Chryssanthopoulos,et al.  RELIABILITY-BASED INSPECTION PLANNING FOR RC HIGHWAY BRIDGES , 2001 .

[2]  Mark G. Stewart,et al.  Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure , 2004 .

[3]  Hsuan-Teh Hu,et al.  Dynamic response of a reinforced concrete slab subjected to air blast load , 2011 .

[4]  Sher Ali Mirza,et al.  Probabilistic study of strength of reinforced concrete members , 1982 .

[5]  Mark G. Stewart,et al.  Security risks and probabilistic risk assessment of glazing subject to explosive blast loading , 2008, Reliab. Eng. Syst. Saf..

[6]  Mark G. Stewart,et al.  Risk-informed decision support for assessing the costs and benefits of counter-terrorism protective measures for infrastructure , 2010, Int. J. Crit. Infrastructure Prot..

[7]  J. Gibbs,et al.  UNIFORMITY OF IN-SITU PROPERTIES OF SELF-COMPACTING CONCRETE IN FULL SCALE STRUCTURAL ELEMENTS , 2001 .

[8]  Hong Hao,et al.  Reliability Analysis of Reinforced Concrete Slabs Under Explosive Loading , 2001 .

[9]  Mark G. Stewart,et al.  Cost Effectiveness of Risk Mitigation Strategies for Protection of Buildings against Terrorist Attack , 2008 .

[10]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[11]  Paulo J. S. Cruz,et al.  Probabilistic models for mechanical properties of concrete, reinforcing steel and pre-stressing steel , 2012 .

[12]  Mark G. Stewart,et al.  Spatial time-dependent reliability analysis of corrosion damage and the timing of first repair for RC structures , 2007 .

[13]  L. Malvar REVIEW OF STATIC AND DYNAMIC PROPERTIES OF STEEL REINFORCING BARS , 1998 .

[14]  Bing Li,et al.  Residual Strength of Blast Damaged Reinforced Concrete Columns , 2010 .

[15]  Hong Hao,et al.  A new method for progressive collapse analysis of RC frames under blast loading , 2010 .

[16]  J. Jones,et al.  Finite difference analysis of simply supported RC slabs for blast loadings , 2009 .

[17]  Mark G. Stewart,et al.  Structural reliability analysis of unreinforced brick masonry walls , 2010 .

[18]  John H Weathersby,et al.  Investigation of bond slip between concrete and steel reinforcement under dynamic loading conditions , 2003 .

[19]  H. Hao,et al.  Numerical simulation of blast wave interaction with structure columns , 2007 .

[20]  Denis Kelliher,et al.  Stochastic representation of blast load damage in a reinforced concrete building , 2012 .

[21]  Armen Der Kiureghian,et al.  The stochastic finite element method in structural reliability , 1988 .

[22]  Hong Hao,et al.  Numerical derivation of pressure-impulse diagrams for prediction of RC column damage to blast loads , 2008 .

[23]  Stanley C. Woodson,et al.  Structural Collapse: Quarter-Scale Model Experiments , 1999 .

[24]  Alexander Remennikov Blast Resistant Consulting: A New Challenge for Structural Engineers , 2002 .

[25]  Mark G. Stewart,et al.  Terrorism Risks and Blast Damage to Built Infrastructure , 2006 .

[26]  Robert E. Melchers,et al.  Probabilistic Risk Assessment of Engineering Systems , 1997 .

[27]  Andrzej S. Nowak,et al.  Calibration of Design Code for Buildings (ACI 318): Part 1—Statistical Models for Resistance , 2003 .

[28]  Bing Li,et al.  The effects of explosive mass ratio on residual compressive capacity of contact blast damaged composite columns , 2011 .

[29]  Sher Ali Mirza,et al.  Variations in Dimensions of Reinforced Concrete Members , 1979 .

[30]  Achintya Haldar,et al.  Reliability Assessment Using Stochastic Finite Element Analysis , 2000 .

[31]  Mark G. Stewart,et al.  Blast Load Variability and Accuracy of Blast Load Prediction Models , 2010 .

[32]  Mark G. Stewart,et al.  The effects of explosive blast load variability on safety hazard and damage risks for monolithic window glazing , 2009 .

[33]  S. H. Perry,et al.  Compressive behaviour of concrete at high strain rates , 1991 .

[34]  Alexander Remennikov,et al.  Predicting the effectiveness of blast wall barriers using neural networks , 2007 .

[35]  Christopher D. Eamon Reliability of Concrete Masonry Unit Walls Subjected to Explosive Loads , 2007 .

[36]  F. M. Bartlett,et al.  VARIATION OF IN-PLACE CONCRETE STRENGTH IN STRUCTURES , 1999 .

[37]  Hong Hao,et al.  RC Column Failure Probabilities to Blast Loads , 2010 .

[38]  Bruno Sudret,et al.  Stochastic evaluation of the damage length in RC beams submitted to corrosion of reinforcing steel , 2007 .

[39]  Comite Euro-International du Beton,et al.  CEB-FIP Model Code 1990 , 1993 .

[40]  Kazunori Fujikake,et al.  Damage of reinforced concrete columns under demolition blasting , 2013 .

[41]  Hong Hao,et al.  Reliability analysis of direct shear and flexural failure modes of RC slabs under explosive loading , 2002 .

[42]  Bibiana Luccioni,et al.  Bond-Slip in Reinforced Concrete Elements , 2005 .

[43]  Mark G. Stewart,et al.  Acceptable Risk Criteria for Infrastructure Protection , 2010 .

[44]  John E. Crawford,et al.  Dynamic Increase Factors for Steel Reinforcing Bars , 1998 .