Pressure–impulse diagrams for elastic-plastic-hardening and softening single-degree-of-freedom models subjected to blast loading

Fallah, Arash Soleiman; Louca, L.A.

doi:10.1016/j.ijimpeng.2006.01.007

Cited by 127 publications

(79 citation statements)

References 11 publications

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“…The damage degree of the member is obtained by using the pressure-impulse diagram of a member developed by the authors and other researchers [20][21][22][23] . First of all, one should plot the blast load acting on a structural member into the pressure-impulse space of its pressureimpulse diagram.…”

Section: Derivation Of Initial Damagementioning

confidence: 99%

Methods for progressive collapse analysis of building structures under blast and impact loads

Shi

2008

Trans. Tianjin Univ.

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Abstract：Progressive collapse of building structures under blast and impact loads has attracted great attention all over the world. Progressive collapse analysis is essential for an economic and safe design of building structures against progressive collapse to blast and impact loads. Because of the catastrophic nature of progressive collapse and the potentially high cost of constructing or retrofitting buildings to resist it, it is imperative that the progressive collapse analysis methods be reliable. For engineers, their methodology to carry out progressive collapse evaluation need not only be accurate and concise, but also be easily used and works fast. Thus, many researchers have been spending lots of effort in developing reliable, efficient and straightforward progressive collapse analysis methods recently. In the present paper, current progressive collapse analysis methods available in the literature are reviewed. Their suitability, applicability and reliability are discussed. Our recent proposed new method for progressive collapse analysis of reinforced concrete frames under blast loads is also introduced.Progressive collapse is defined as "the spread of an initial local failure from element to element resulting in the collapse of an entire structure or a disproportionately large part of it" [1] . It refers to the failure of one or a group of key structural load-carrying members that give rise to a more widespread failure of the surrounding members and partial or complete structural collapse. Progressive collapse of building structures might be induced by a series of accidental and intentional events, such as false construction order, local failure due to accidental overload, damage of critical component by explosion and earthquake. This paper only focuses on progressive collapse analysis of building structures induced by abnormal loads, such as blast and impact.With the recent progressive collapse of Alfred P. Murrah Federal Building and World Trade Center (WTC), researches are more focused than ever on constructing buildings safer from progressive collapse induced by blast and impact loads. Progressive collapse analysis is essential for an economic and safe design of building structures against progressive collapse to blast and impact loads. Because of the catastrophic nature of progressive collapse and the potentially high cost of constructing or retrofitting buildings to resist it, it is imperative that the progressive collapse analysis methods be reliable [2] . For engineers, their methodology to carry out progressive collapse evaluation need not only to be accurate and concise, but also be easily used and works fast. Thus, many researchers have been spending lots of effort in developing reliable, efficient and straightforward progressive collapse analysis methods recently.The current available methods in analyzing structural progressive collapse could be classified into two major categories, namely the direct simulation method, in which the blast loading effects on structural damage and building coll...

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Section: Derivation Of Initial Damagementioning

confidence: 99%

Methods for progressive collapse analysis of building structures under blast and impact loads

Shi

2008

Trans. Tianjin Univ.

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“…A more detailed description of the parameters used in Figure 1 and how to calculate them are given in Section 7 in this paper. P-I diagrams can be prepared with different analytical, numerical and experimental ways [22,25,[27][28][29][30][31]. Experimental tests for blast loading are expensive, very difficult and have legal and military limits.…”

Section: Introductionmentioning

confidence: 99%

Preparing Pressure-Impulse Diagrams for Reinforced Concrete Columns with Constant Axial Load using Single Degree of Freedom Approach

Izadifard¹,

Mollaei²,

Omran³

2016

Int J Adv Tech

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In this paper, moment-curvature behavior of reinforced concrete column with constant axial load is determined using finite element method and then it is introduced to a single degree of freedom (SDOF) model based on EulerBernoulli theory. Using this SDOF model, dynamic response of the RC column under the blast loading is estimated. The introduced SDOF includes secondary moments (P-δ) effects, nonlinear behavior of the material and effects of strain rate on concrete and steel materials through the time calculation of the model. Results obtained from SDOF model for transverse displacement of RC column under blast loading is compared to analysis by finite element software OPENSEES. Then, introduced SDOF method is used for drawing Pressure-Impulse (P-I) diagram of the column with considering the presence of axial compressive load. According to the results, introduced SDOF model has simple and quick computations and accuracy of predictions is acceptable.P-δ effects and overall and local damages and their impact on the P-I diagram can be evaluated. However, this method due to the high complexity, high time of calculations and the need to have enough skills and experience of using software, for extensive parametric studies isn't very appropriate.In this paper, the flexural behavior (moment-curvature) of a reinforced concrete column section using finite element software of open system for earthquake engineering simulation (OpenSees) has been determined and introduced to the calculation of SDOF analytical model in order to estimate transverse displacement response of column under simultaneous compressive axial force and lateral loading of blast. The SDOF introduced model includes the effects of secondary moments (P-δ) and also the effects of high strain rates on the behavior specifications of concrete and steel rebar. In this method, to consider the effects of the existence of column axial loading (P-δ) the concept of reduced resistance function is used. Using the introduced process, P-I dimensionless curves have been plotted for reinforced concrete column. Figure 2 shows the distribution of stress and strain in the rectangular RC section at the ultimate state. Strain distribution in the height of the section has been assumed to be linear and curvature of section (θ) is equal to the slope of this line. Also, the tensile strength of concrete has been ignored. In the figure above, f yk is the yield stress of reinforcement steel, f cu is the ultimate strength of concrete, ε cu is the ultimate strain of concrete, xu is the depth of neutral axis in the ultimate state, b is the width, h is Equivalent Single Degree of Freedom Model

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“…Langdon and Schleyer presented a model of a beam subjected to blast loading, including some lateral and rotation restraints at the ends as well as the action of the membrane force [3]. Fallah and Louca proposed to derive a p-I diagram for an equivalent softening or hardening SDOF models substituting the structural behaviour of a corrugated wall by an equivalent bi-linear resistance vs. displacement curve [4].…”

Section: Introductionmentioning

confidence: 99%

Analytical procedure to derive P-I diagram of a beam under explosion

Hamra¹,

Demonceau²,

Denoël³

2015

IABSE Workshop, Helsinki 2015: Safety, Robustness and Condition Assessment of Structures

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SummaryThe aim of this paper is to study a beam extracted from a frame and subjected to blast loading. The demand of ductility depends on six dimensionless parameters: two related to the blast loading, two referring to the bending behaviour of the beam and two corresponding to the dynamic behaviour of the rest of the structure. We develop a full analytical procedure that provides the ductility demand as a function of these six dimensionless parameters.

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Pressure–impulse diagrams for elastic-plastic-hardening and softening single-degree-of-freedom models subjected to blast loading

Cited by 127 publications

References 11 publications

Methods for progressive collapse analysis of building structures under blast and impact loads

Methods for progressive collapse analysis of building structures under blast and impact loads

Preparing Pressure-Impulse Diagrams for Reinforced Concrete Columns with Constant Axial Load using Single Degree of Freedom Approach

Analytical procedure to derive P-I diagram of a beam under explosion

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