Progressive Collapse Mechanisms of Brittle and Ductile Framed Structures

Masoero, Enrico; Wittel, Falk K.; Herrmann, H. J.; Chiaia, Bernardino

doi:10.1061/(asce)em.1943-7889.0000143

Cited by 49 publications

(11 citation statements)

References 18 publications

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“…1st -3rd stories), which leads to lateral propagation of the crush front and in the end the remaining four bays may collapse in a crush-up mode. The lateral propagation of crush-front followed by crushing up has also been recently reported (Masoero et al 2010). Further comparing the probabilities of partial and total collapse for these cases, we find that the probability of total collapse first increases and then decreases as we remove columns at a higher story level.…”

Section: Resultsmentioning

confidence: 57%

Probabilistic Analysis of Vulnerability of Reinforced Concrete Buildings Against Progressive Collapse

Xue

2013

Structures Congress 2013

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Since the collapse of the Ronan Point apartment, extensive efforts have been devoted to developing numerical models for assessing the vulnerability of buildings against progressive collapse. The existing numerical models are largely deterministic, where the uncertainties in structural behavior are not considered. This study presents a stochastic numerical model of progressive collapse of reinforced concrete (RC) buildings. In the proposed model, each structural component, such as beam, column, beam-column joint, wall, etc., is modeled as several elastic or rigid blocks connected by nonlinear cohesive elements, which represent the potential damage zones. The constitutive relation of the cohesive element is calibrated by the detailed finite element simulations of the potential damage zone. An Incremental Latin Hypercube Sampling method is further incorporated into the numerical model to perform stochastic simulations of progressive collapse of RC buildings under different column removal scenarios (i.e. different number of columns removed at different locations), in which the fracture energies of the macro-scale cohesive elements are randomized. A family of fragility curves for various possible collapse patterns is generated, which represents a reliability-based measure of the vulnerability of buildings against progressive collapse.

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Section: Resultsmentioning

confidence: 57%

Probabilistic Analysis of Vulnerability of Reinforced Concrete Buildings Against Progressive Collapse

Xue

2013

Structures Congress 2013

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“…The method was first formulated by Cundall [32] and used to describe granular media such as sands, soils, and powders [33]. The DEM can also be applied as an approximation of continua, in particular when describing processes that involve fracture [34,35], fragmentation [36,37], or structural collapse [38,39,40]. Rigid body motion, impacts, and geometric and mechanical nonlinearity [41] Section 2 provides a brief background on SIMP-based TO, solved using the OC method, and on the DEM.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization using the Discrete Element Method. Part 1: Methodology, Validation, and Geometric Nonlinearity

O'Shaughnessy¹,

Masoero²,

Gosling³

2021

Preprint

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Structural Topology optimization is attracting increasing attention as a complement to additive manufacturing techniques. The optimization algorithms usually employ continuum-based Finite Element analyses, but some important materials and processes are better described by discrete models, for example granular materials, powder-based 3D printing, or structural collapse. To address these systems, we adapt the established framework of SIMP Topology optimization to address a system modelled with the Discrete Element Method. We consider a typical problem of strain energy minimization, for which we define objective function and related sensitivity for the Discrete Element framework. The method is validated for simply supported beams discretized as interacting particles, whose predicted optimum solutions match those from a classical continuum-based algorithm. A parametric study then highlights the effects of mesh dependence and filtering. An advantage of the Discrete Element Method is that geometric nonlinearity is captured without additional complexity; this is illustrated when changing the beam supports from rollers to hinges, which indeed generates different optimum structures. The proposed Discrete Element Topology Optimization method enables future incorporation of nonlinear interactions, as well discontinuous processes such as during fracture or collapse.

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“…Damage tolerance is a concept extensively used in engineering sciences under the flag of ''robustness''. That is, structural robustness plays a fundamental role in design and represents a modern research topic in the field of structural engineering (Masoero et al, 2010;Starossek and Haberland, 2011). Many definitions of robustness have been formulated (Baker et al, 2008) and implemented in design codes: for example, structures should be robust in the sense that the consequences of a local structural failure should not be disproportional to the effect causing the failure (CEN, 2002).…”

Section: Introductionmentioning

confidence: 99%

Damage tolerance in parallel systems

Biagi¹,

Chiaia²

2016

International Journal of Damage Mechanics

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Damage tolerance is a fundamental prerequisite for the safety and robustness of large complex systems. Here we analyze the response of a system of parallel rods under a damage event. The approach is based on the presence of multiple load paths in a complex structure, that is, various ways to perform a task. We found that, as much as the complexity increases, the presence of effective ways of carrying the load becomes crucial for the robustness of the structural system under a damage process acting at random on the structure. In addition, the size of the system plays an important role: although tendentially more fragile, large systems are able to redistribute and absorb the effects of damage even with low complexity. The results, here discussed with reference to mechanical systems, can be exported to other disciplines.

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Progressive Collapse Mechanisms of Brittle and Ductile Framed Structures

Cited by 49 publications

References 18 publications

Probabilistic Analysis of Vulnerability of Reinforced Concrete Buildings Against Progressive Collapse

Probabilistic Analysis of Vulnerability of Reinforced Concrete Buildings Against Progressive Collapse

Topology Optimization using the Discrete Element Method. Part 1: Methodology, Validation, and Geometric Nonlinearity

Damage tolerance in parallel systems

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