Abstract
abstract: The study of progressive collapse of structures using numerical models requires accurate modeling of geometrical nonlinearity and material failure behavior. Numerical models must demonstrate stability, such that localized member failures do not trigger numerical instabilities. Also, algorithms should be efficient, to limit the computational burden of analyzing multiple responses when considering the effects of uncertain loads, geometric and material variables. In this scientific domain, a comprehensive non-linear ductile-damage truss-element model has been recently presented by the authors. The model accounts for the geometrical and material nonlinearities observed during progressive collapse of structural systems. In this paper, the Felipe-Leonel-Haach-Beck (FLHB) model is calibrated to describe the response of Ultra-High-Performance Fiber Reinforced Concrete (UHPFRC). Based on a limited number of UHPFRC experimental curves, statistics of FLHB model parameters are obtained. These are employed in the probabilistic analysis of failure paths of truss structures under progressive collapse. Monte Carlo Simulation and the First Order Reliability Method are employed in the probabilistic failure path analyses. Six application examples demonstrate the accuracy, robustness, and efficiency of the FLHB model in evaluation of failure paths of realistic structural systems.
Highlights
Partial collapses such as Ronan Point Tower and Skyline Plaza, and terrorist attacks like those at Oklahoma City and World Trade Center have raised awareness about the importance of robust design, with objective consideration of progressive collapse following local damage by abnormal loads
Felipe et al [10] have introduced a Finite Element (FE) model which is well suited for progressive collapse analysis of truss structures
This paper extends the results in Felipe et al [10] in three ways: by calibrating FLHB model parameters to describe the behavior of Ultra-High-Performance Fiber Reinforced Concrete (UHPFRC); by performing a statistical analysis of FLHB model parameters for UHPFRC; and by employing the model in reliability analysis of failure paths of truss structures
Summary
Partial collapses such as Ronan Point Tower and Skyline Plaza, and terrorist attacks like those at Oklahoma City and World Trade Center have raised awareness about the importance of robust design, with objective consideration of progressive collapse following local damage by abnormal loads. Felipe et al [10] have introduced a Finite Element (FE) model which is well suited for progressive collapse analysis of truss structures. Progressive collapse of truss structure domes has been studied recently by Yan et al [12] and Tian et al [13], using bi-linear elastic-plastic material models. A similar analysis of steel-concrete slabs was performed by the same authors in Ding et al [17] and Feng et al [18] studied reliability and robustness of reinforced concrete frames against progressive collapse, considering damage and plasticity. The FLHB model in Felipe et al [10] is employed in the reliability analysis of failure paths of concrete truss structures. The solution scheme for the non-linear system of FE equations is based on the Newton-Raphson algorithm with displacement control
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