Analogies between progressive collapse of structures and fracture of materials

Chiaia, Bernardino; Masoero, Enrico

doi:10.1007/s10704-008-9287-2

Cited by 9 publications

(5 citation statements)

References 28 publications

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“…Consequently, q c and the residual strength fraction R 1 decrease with the number of removed columns. In analogy with fracture mechanics, structures that are prone to bending collapse correspond to notch sensitive materials, and the number of removed columns corresponds to the crack width [Chiaia and Masoero, 2008]. If global pancake collapse is triggered, q c and R 1 decrease with the fraction of removed columns, which is analogous to plastic failure of materials that are not notch sensitive.…”

Section: Discussionmentioning

confidence: 99%

Hierarchical Structures for a Robustness-Oriented Capacity Design

et al. 2012

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In this paper, we study the response of 2D framed structures made of rectangular cells, to the sudden removal of columns. We employ a simulation algorithm based on the Discrete Element Method, where the structural elements are represented by elasto-plastic Euler Bernoulli beams with elongation-rotation failure threshold. The effect of structural cell slenderness and of topological hierarchy on the dynamic residual strength after damage R1 is investigated. Topologically hierarchical frames have a primary structure made of few massive elements, while homogeneous frames are made of many thin elements. We also show how R1 depends on the activated collapse mechanisms, which are determined by the mechanical hierarchy between beams and columns, i.e. by their relative strength and stiffness. Finally, principles of robustness-oriented capacity design which seem to be in contrast to the conventional anti-seismic capacity design are addressed.

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Section: Discussionmentioning

confidence: 99%

Hierarchical Structures for a Robustness-Oriented Capacity Design

et al. 2012

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“…The RSR can also be considered as RSR = RSR STAT • F d , where RSR STAT = q max,DAM / q max,INT and F d = q c / q max,DAM . The factor F d (≤ 1) is scale dependent [2] and takes into account the effects of dynamics and finite ductility, which are generally neglected in the limit analyses of beams. In fact, if a dynamic analysis is performed in the plastic regime, q c = q max,DAM = q p , F d = 1 and thus RSR = RSR STAT .…”

Section: Table 1: Geometrical and Mechanical Properties Of The Analyz...mentioning

confidence: 99%

“…In this paper, by combining the energy criterion already introduced by Chiaia and Masoero [2] with the nonlinear analysis of concrete structures proposed by Fantilli et al [3], a new procedure is proposed in order to investigate the effects of accidental damage. More precisely, the approach is used to evaluate the critical loads of continuous reinforced concrete (RC) beams, in which one support is quickly and unexpectedly removed.…”

Section: Introductionmentioning

confidence: 99%

Energy-Based Study of Structures under Accidental Damage

Masoero

Vallini

Fantilli

et al. 2009

KEM

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An energy-based criterion is introduced in order to investigate the nonlinear dynamic response of RC beams subject to rapid and unexpected damages. Since only static pushover analysis is necessary, the structural behavior of the damaged members can be evaluated with a new simplified procedure. It is firstly applied to the case of elastic–perfectly plastic continuous beam, when one of the supports is quickly removed. In such a situation, the proposed procedure gives satisfactory results if compared to those of a more rigorous dynamic analysis. By means of a nonlinear static analysis, which encompasses also the post-peak response, the energy-based approach is also applied to concrete beams. More specifically, it is used to predict the bearing capacities of reinforced concrete beams, having different steel rebars, when they suddenly lose a single support.

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“…Developing efficient tools to evaluate structural robustness and to prove the effectiveness of measures aimed at preventing progressive collapse is therefore an important issue and today several algorithms and models are available in literature. A simplified approach to take dynamics and impacts between falling elements into account was proposed by (Vlassis, 2007) and (Chiaia and Masoero, 2008) showed its analogy with the variational approach to fracture mechanics. The scheme is based on energy balance, requires only static analyses, and was effectively applied to strain hardening (Vlassis et al, 2006) and softening (Chiaia and Masoero, 2008) structural elements.…”

Section: Introductionmentioning

confidence: 99%

“…A simplified approach to take dynamics and impacts between falling elements into account was proposed by (Vlassis, 2007) and (Chiaia and Masoero, 2008) showed its analogy with the variational approach to fracture mechanics. The scheme is based on energy balance, requires only static analyses, and was effectively applied to strain hardening (Vlassis et al, 2006) and softening (Chiaia and Masoero, 2008) structural elements.…”

Section: Introductionmentioning

confidence: 99%

Progressive Collapse Mechanisms of Brittle and Ductile Framed Structures

et al. 2010

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In this paper, we study the progressive collapse of 3D framed structures made of reinforced concrete after the sudden loss of a column. The structures are represented by elasto-plastic Euler Bernoulli beams with elongation-rotation failure threshold. We performed simulations using the Discrete Element Method considering inelastic collisions between the structural elements. The results show what collapse initiation and impact-driven propagation mechanisms are activated in structures with different geometric and mechanical features. Namely, we investigate the influence of the cross sectional size and reinforcement α and of the plastic capacity β of the structural elements. We also study the final collapse extent and the fragment size distribution and their relation to α, β and to the observed collapse mechanisms. Finally, we compare the damage response of structures with symmetric and asymmetric reinforcement in the beams.

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Analogies between progressive collapse of structures and fracture of materials

Cited by 9 publications

References 28 publications

Hierarchical Structures for a Robustness-Oriented Capacity Design

Hierarchical Structures for a Robustness-Oriented Capacity Design

Energy-Based Study of Structures under Accidental Damage

Progressive Collapse Mechanisms of Brittle and Ductile Framed Structures

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