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Seismic Vulnerability and Loss Assessment for Buildings in Greece

30 Jan 2013-pp 111-160
About: The article was published on 2013-01-30 and is currently open access. It has received 5 citations till now. The article focuses on the topics: Vulnerability.

Summary (5 min read)

1 Introduction

  • The numerical studies involved in the development of the aforementioned ‘hybrid’ fragility curves included modelling and analysis of a large number of building types, representing most of the common typologies in S. Europe.
  • The R/C building models were analysed for a set of carefully selected accelerograms representative of different ground conditions.
  • Several earthquake damage (and loss) scenario studies appeared wherein some of the most advanced techniques have been applied to the urban habitat of European cities (Barbat et al.

2.1 Buildings Analysed

  • Using the procedures described in the following, analysis of several different R/C building configurations has been performed, representing practically all common R/C building types in Greece and several other S. European countries.
  • Each of the above buildings was assumed to have three different configurations, ‘bare’ (without masonry infill walls, RC1 type), ‘regularly infilled’ (RC3.1) and ‘irregularly infilled’ (soft ground storey, usually pilotis, RC3.2 type).
  • R/C buildings with medium level of seismic design (roughly corresponding to post-1980 codes in S. Europe, e.g. the 1985 Supplementary Clauses of the Greek Seismic Codes) and reasonable seismic detailing of R/C members; e.g. RC3.1HM (high-rise, moderate code), also known as - Moderate code.
  • Even if this is not necessarily the case in all cities, differentiation between RCixN and RCixL, as well as between RCixM and RCixH is difficult, and judgement and/or code-type approaches are used to this effect.

2.2 Inelastic analysis procedure

  • For all Low, Moderate, and High code R/C buildings inelastic static and dynamic time-history analyses were carried out using the SAP2000N (Computers & Structures 2002) and the inhouse software DRAIN2000, respectively.
  • In total 72 structures were addressed in this study, but full analyses were carried out for 54 of them (N and L buildings were initially considered together, as discussed previously, but different pushover curves were finally drawn, see section 2.3).
  • To keep the cost of analysis within reasonable limits, all buildings were analysed as 2D structures.
  • Using the DRAIN2000 code, inelastic dynamic time-history analyses were carried out for each building type and for records scaled to several PGA values, until ‘failure’ was detected.

2.3 Estimation of economic loss using inelastic dynamic analysis

  • From each analysis, the cost of repair (which is less than or equal to the replacement cost) is estimated for the building type analysed, using the models for member damage indices proposed by Kappos et al. (1998b).
  • Due to the fact that the cost of the R/C structural system and the infills totals less than 40% of the cost of a (new) building, the above relationships give values up to 38% for the loss index L, wherein replacement cost refers to the entire building.
  • In R/C frame structures (RC1 and RC3 typology), failure is assumed to occur (and then L=1) whenever either 50% or more of the columns in a storey ‘fail’ (i.e. their plastic rotation capacity is less than the corresponding demand calculated from the inelastic analysis), or the interstorey drift exceeds a value of 4% at any storey (Dymiotis et al. 1999).
  • This set of failure criteria was proposed by Kappos et al. (2006); they resulted after evaluating a large number of inelastic time-history analyses.

2.4 Development of pushover and capacity curves

  • A resistance curve (wherein resistance encompasses both strength and ductility), also called curve, is a plot of a building’s lateral load resistance as a function of a characteristic lateral displacement (typically a base shear vs. top displacement curve) derived from inelastic static analysis.
  • Some typical pushover curves and their corresponding bilinear versions (derived on the basis of equal areas under the curves) are given in Figure 3; as shown in the figure, the equal areas are calculated up to the point where the first significant drop in strength (usually about 20%) occurs in the ‘complete’ pushover curve.
  • Some example curves were shown in figure 3 for R/C frame buildings designed to old codes (L); shown in the figure are (from top to bottom) the cases of infilled, pilotis and bare building, respectively.
  • It is noted, though, that a ‘global type’ analysis that cannot fully capture local failure to R/C members due to interaction with infill walls, in principle can not yield a reliable ultimate displacement for the structure; more work is clearly needed in this direction.

2.5 Derivation of fragility curves

  • One possibility for deriving probabilistic vulnerability curves is in terms of macroseismic intensity (I) or PGA; it is recalled herein that as long as a certain empirical relationship between I and PGA is adopted, the two forms of curves (in terms of I or PGA) are exactly equivalent.
  • In the common case that Lact is available at one or very few points the scheme should be properly adapted by the analyst.
  • It is worth noting that the ratios Lact/Lanl calculated for the Thessaloniki 1978 data were reasonably close to 1.0 when the entire building stock was considered, but discrepancies for some individual building classes did exist (Kappos et al., 1998b).
  • Different sets of fragility curves are plotted in Fig. 5 (full and dotted lines), the difference lying in the way empirical data were introduced (cf. w1, w2 factors in equation 4).

2.6 Fragility curves in terms of Sd

  • The aforementioned fragility curves in terms of PGA were also used to derive additional curves, this time in terms of Sd, necessary for fragility assessment using the HAZUS approach (FEMA-NIBS 2003).
  • The procedure adopted was to transform the median PGA values to corresponding median.
  • Sd values, using an appropriate spectrum and either the fundamental period of the ‘prototype’ building, assuming that the equal displacement rule applies, or using the capacity spectrum approach (for short period buildings).
  • It is noted that the convenient equal displacement approximation (inelastic displacement demand approximately equal to elastic demand) is a valid assumption for medium-rise and high-rise buildings, but usually a crude one for low-rise buildings.
  • For the present application of the methodology it was decided to use the mean spectrum of the microzonation study of Thessaloniki (Anastasiadis et al., 2001) since the derived Sd-based fragility curves were primarily intended to be used for the Thessaloniki risk scenario (Pitilakis et al. 2004).

3.1 Overview of the methodology adopted

  • For URM buildings, apart from the Thessaloniki 1978 earthquake data (used for R/C structures, see section 2), the database from the Aegion 1995 event (Fardis et al. 1999) was also utilised.
  • The first step for the utilisation of these two databases was the assignment of an appropriate intensity (or corresponding PGA) for the area they refer to.
  • These databases were used for the simple, purely statistical, procedure described in section 3.2, and were extrapolated to lower and higher events using nonlinear analysis in the hybrid approach described in sections 3.3 and 3.4.

3.2 Purely empirical approach

  • A purely empirical approach (similar to that used by other researchers, e.g. Spence et al. 1992, Lagomarsino & Giovinazzi 2006), was first adopted by the authors for deriving fragility curves in terms of intensity for URM buildings.
  • The database includes a total of 5740 buildings, 1780 of which (31%) are unreinforced masonry ones, and most of the remaining buildings are reinforced concrete ones.
  • Details of the processing of the database are given in Penelis et al. (2002), where the reasons are discussed why economic damage indices (ratio of repair cost to replacement cost) and post-earthquake tagging of buildings (‘green’-‘yellow’-‘red’) had to be combined in interpreting the Thessaloniki data.
  • Empirical curves were first derived using the aforementioned databases and an exponential type of statistical model and they are reported in Kappos et al (2006); albeit useful, they are not deemed as sufficiently reliable, since data for only two intensities were available.

3.3 Nonlinear analysis and capacity curves

  • It is well known that the nonlinear response of unreinforced masonry (URM) buildings is not easy to model, mainly because the frame element (beam-column) commonly used in the case of R/C buildings is generally not amenable to modelling URM buildings.
  • The difficulties are increased in the case of dynamic analysis where the inertia forces should not be concentrated at the diaphragm levels (which is the rule for R/C buildings).
  • These two main categories are further subdivided into single-storey, two-storey and three-storey buildings.
  • Using the same procedure as for R/C structures (section 2.4), capacity curves have been derived for one, two, and three storey URM buildings, belonging to the types M1.2 (‘simple stone’ URM buildings) and M3.4 (URM buildings with R/C floors).
  • The corresponding parameters for these curves are given in Table 5.

3.4 Hybrid fragility curves

  • The hybrid methodology described in previous sections was used to calculate vulnerability curves for URM buildings in terms of spectral displacement.
  • Instead of using semi-empirical interstorey drift values (the HAZUS approach), the AUTh group (Kappos 2001, Kappos et al. 2006) has suggested expressing the damage state thresholds in terms of the basic parameters of the capacity curve (yield displacement and ultimate displacement, both referring to a bilinearised capacity curve); this proposal is shown in Table 6.
  • The aforementioned procedure cannot be directly integrated within the hybrid approach.
  • Using the hybrid procedure, damage histograms were constructed for the URM building classes of interest; among these histograms, the ones corresponding to the Sd values assigned to the Thessaloniki and Aegion earthquakes consisted of actual loss values, while the rest were derived by the scaling procedure described previously.

4 Region-specific fragility curves

  • Hence, a critical step in applying such curves to a specific study is to make them region-specific, i.e. dependent on the characteristics of the representative ground motions in the cities studied, which can be quite different from those used for deriving the PGA-based curves (and also Sdbased hybrid curves that involve assuming a specific spectral shape, see section 3.4).
  • The mean acceleration spectrum of the 16 records of Fig. 2, normalised to a PGA of 1.0g, is illustrated in Fig. 12, together with the mean spectra derived from the Grevena and Düzce microzonation studies (Pitilakis et al. 2010) and the Greek and Turkish Code design spectra for soil types that are typical for the two cities.
  • This approach is quite general but very convenient for deriving region- or site-specific analytical fragility curves for a building stock in a specific area (regardless of whether the appropriate ‘target’ spectrum is defined from a microzonation study or a seismic code).

5 Development of earthquake scenarios

  • Two types of scenarios can be developed using the analytical tools presented in the previous sections.
  • The fragility models developed by the AUTh group originate from repair cost considerations, hence it was relatively straightforward to use them for economic loss assessment purposes.

6 Concluding remarks

  • This chapter has tackled a number of issues relating to vulnerability and loss assessment, with particular emphasis on the situation in Greece and S. Europe.
  • It is noted, though, that values of the variabilities proposed in HAZUS should not be adopted blindly if the analytical procedure used is not the one based on the ‘capacity spectrum’.
  • Of particular practical relevance is the simple procedure suggested in section 4, based on the area under pseudovelocity spectra, for adapting fragility curve sets developed for a specific ground motion (be it a spectrum or a set of accelerograms) to the ground motion that is (more) representative of seismic hazard in another geographical area.

8 References

  • Vulnerability assessment and earthquake damage scenarios of the building stock of Potenza (Southern Italy) using italian and greek methodologies.
  • Pitilakis, K. et al. (2011) Development of comprehensive earthquake loss scenarios for a Greek and a Turkish city: Seismic hazard, Geotechnical, and Lifeline Aspects.

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City, University of London Institutional Repository
Citation: Kappos, A. J. (2013). Seismic Vulnerability and Loss Assessment for Buildings
in Greece. In: Gueguen, P. (Ed.), Seismic Vulnerability of Structures. (pp. 111-159). Wiley-
ISTE. ISBN 1118603966
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Permanent repository link: https://openaccess.city.ac.uk/id/eprint/12756/
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City Research Online

Seismic vulnerability and loss assessment for buildings in Greece
Andreas J. Kappos
Aristotle University of Thessaloniki, Dept of Civil Engineering
1 Introduction
This chapter describes the methodology for seismic vulnerability assessment developed at the
Aristotle University of Thessaloniki (AUTh), which is based on the so-called ‘hybrid’
approach. The basic feature of this approach is that it combines statistical data with
appropriately processed (utilising repair cost models) results from nonlinear dynamic or static
analyses, that permit extrapolation of statistical data to PGA's and/or spectral displacements
for which no data is available. The statistical data sets used herein are from earthquake-
damaged Greek buildings. The chapter focuses on the derivation of vulnerability (fragility)
curves in terms of peak ground acceleration (PGA), as well as spectral displacement (S
d
), and
also includes the estimation of capacity curves (S
a
vs. S
d
diagrams), for several reinforced
concrete (R/C) and unreinforced (load-bearing) masonry (URM) building types common in
Greece as well as the rest of Southern Europe.
The numerical studies involved in the development of the aforementioned ‘hybrid’ fragility
curves included modelling and analysis of a large number of building types, representing most
of the common typologies in S. Europe. Building classes were defined on the basis of
material, structural system, height, and age (which indirectly defines also the code used for
design, if any), and, in the case of R/C buildings, the existence or otherwise of brick masonry
infills. The R/C building models were analysed for a set of carefully selected accelerograms
representative of different ground conditions. The results of all these inelastic response-
history analyses were used for developing the so-called ‘primary’ vulnerability curves, i.e.
plots of the evolution of the selected damage index (e.g. the monetary loss) as a function of
the earthquake intensity. Critical in this respect is the way structural damage indices
calculated in analysis are translated into loss, using appropriate empirical relationships. The
next steps consist in defining a number of damage states (described in terms of e.g. the loss
index), assuming a certain probabilistic model for the fragility (e.g. lognormal), and deriving
probabilistic vulnerability, i.e. fragility, curves for each building typology. These curves were
also used, in combination with appropriately defined response spectra, for the derivation of
alternative fragility curves involving spectral quantities (S
d
).
The chapter also presents another approach based on inelastic static analysis, which is
more suitable for structures that are not particularly amenable to nonlinear response-history
analysis, such as the URM buildings. In this approach ‘pushover’ (or ‘resistance’) curves are
derived for all building types (R/C and URM), then reduced to standard capacity curves (S
a
vs. S
d
), and can be used together with the S
d
–based fragility curves as an alternative to the
aforementioned curves in loss assessment or in developing earthquake scenarios.
The last part of the chapter is devoted to the application of the fragility curve methodology
for deriving an earthquake scenario for the building stock of the municipality of Thessaloniki.
By ‘scenario’ it is understood here that the study refers to a given earthquake and provides a

comprehensive description of what happens when such an earthquake occurs; this is not the
same as ‘risk analysis’ that refers to all the possible arriving earthquakes, estimating the
probability of losses over a specified period of time. It is notable that the last 15 years have
witnessed a growing interest in assessing the seismic vulnerability of European cities and the
associated risk. Several earthquake damage (and loss) scenario studies appeared wherein
some of the most advanced techniques have been applied to the urban habitat of European
cities (Barbat et al. 1996, Bard et al. 1995, D’Ayala et al. 1996, Dolce et al. 2006, Erdik et al.
2003, Faccioli et al. 1999, Kappos et al. 2002, 2008, 2010). A key feature of the most recent
among these studies, including the one presented here for Thessaloniki, is the use of advanced
GIS tools that permit clear representation of the expected distribution of damage in the
studied area and visualisation of the effects of any risk mitigation strategy that can be adopted
on the basis of the scenario.
2 Vulnerability assessment of R/C buildings
2.1 Buildings Analysed
Using the procedures described in the following, analysis of several different R/C building
configurations has been performed, representing practically all common R/C building types in
Greece and several other S. European countries. Referring to the height of the buildings, 2-
storey, 4-storey, and 9-storey R/C buildings were selected as representative of Low-rise,
Medium-rise and High-rise, respectively. The nomenclature used for the buildings is of the
type RCixy where i indicates the structural system, x the height and y the code level.
Regarding the structural system, both frames (RC1 and RC3 types) and dual (frame+shear
wall) systems were addressed (RC4). Each of the above buildings was assumed to have three
different configurations, ‘bare’ (without masonry infill walls, RC1 type), ‘regularly infilled’
(RC3.1) and ‘irregularly infilled’ (soft ground storey, usually pilotis, RC3.2 type).
Regarding the level of seismic design and detailing, four subclasses could be defined, as
follows:
- No code (or pre-code): R/C buildings with very low level of seismic design or no seismic
design at all, and poor quality of detailing of critical elements; e.g. RC1MN (medium-rise,
no code).
- Low code: R/C buildings with low level of seismic design (roughly corresponding to pre-
1980 codes in S. Europe, e.g. the 1959 Code for Greece); e.g. RC3.2LL (low-rise, low
code).
- Moderate code: R/C buildings with medium level of seismic design (roughly
corresponding to post-1980 codes in S. Europe, e.g. the 1985 Supplementary Clauses of
the Greek Seismic Codes) and reasonable seismic detailing of R/C members; e.g.
RC3.1HM (high-rise, moderate code).
- High code: R/C buildings with enhanced level of seismic design and ductile seismic
detailing of R/C members according to the new generation of seismic codes (similar to
Eurocode 8).
The available statistical data was not sufficient for distinguishing between all four sub-
categories of seismic design. Moreover, analysis of the damage statistics for Thessaloniki
buildings after the 1978 Volvi earthquake (Penelis et al. 1989) has clearly shown that there
was no reduction in the vulnerability of R/C buildings following the introduction of the first
(rather primitive by today’s standards) seismic code in 1959. Even if this is not necessarily the

case in all cities, differentiation between RCixN and RCixL, as well as between RCixM and
RCixH is difficult, and judgement and/or code-type approaches are used to this effect. Three
sets of analyses were finally carried out, for three distinct levels of design, ‘L’ (buildings up
to 1985), ‘M’ (1986-1995), and ‘H’, the last one corresponding to buildings designed to the
1995 and 2000 (EAK) Greek Codes. The 1995 code (‘NEAK’) was the first truly modern
seismic code (quite similar to Eurocode 8) introduced in Greece and its differences from
EAK2000 are minor and deemed not to affect the vulnerability of the buildings; hence
buildings constructed from 1996 to date are classified as ‘H’. Differences (in terms of strength
and available ductility) between ‘N’ and ‘L’ buildings, and ‘M’ and ‘H’ buildings are
addressed in a semi-empirical way at the level of capacity curves (section 2.4).
2.2 Inelastic analysis procedure
For all Low, Moderate, and High code R/C buildings inelastic static and dynamic time-history
analyses were carried out using the SAP2000N (Computers & Structures 2002) and the in-
house software DRAIN2000, respectively. R/C members were modelled using lumped
plasticity beam-column elements, while infill walls were modelled using the diagonal strut
element for the inelastic static analyses, and the shear panel isoparametric element for the
inelastic dynamic analyses, as developed in previous studies (Kappos et al. 1998a).
In total 72 structures were addressed in this study, but full analyses were carried out for 54
of them (N and L buildings were initially considered together, as discussed previously, but
different pushover curves were finally drawn, see section 2.3). To keep the cost of analysis
within reasonable limits, all buildings were analysed as 2D structures. One of the typical
structures studied is shown in figure 1. It is pointed out that although the consideration of 2D
models means that effects like torsion due to irregularity in plan were ignored, previous
studies (Kappos et al. 1998b) have shown that the entire analytical model (which also
comprises the structural damage vs. loss relationship) slightly underpredicts the actual losses
of the 1978 Thessaloniki earthquake, from which the statistical damage data used in the
hybrid procedure originate. Moreover, evaluation of that actual damage data has shown
(Penelis et al. 1989) that plan irregularities due to unsymmetric arrangement of masonry
infills were far less influential than irregularities in elevation (soft storeys due to
discontinuous arrangement of infills); the latter are directly taken into account in the adopted
analytical models.
Figure 1. Four-storey, regularly infilled, R/C building with dual system (RC4.2M type).

Using the DRAIN2000 code, inelastic dynamic time-history analyses were carried out for
each building type and for records scaled to several PGA values, until ‘failure’ was detected.
A total of 16 accelerograms was used (to account for differences in the spectral characteristics
of the ground motion), scaled to each PGA value, hence resulting to several thousands of
inelastic time-history analyses (the pseudo-acceleration spectra of the 16 records are shown in
figure 2). The 8 recorded motions are: 4 from the 1999 Athens earthquake (A299_T, A399_L,
A399_T, A499_L), 2 from the 1995 Aegion earthquake (aigx, aigy) and 2 from the 2003
Lefkada earthquake. The 8 synthetic motions are calculated for Volos (A4, B1, C1, D1), and
Thessaloniki (I20_855, N31_855, I20_KOZ, N31_KOZ) sites (as part of microzonation
studies).
Figure 2. Pseudoacceleration spectra of the 16 motions used for the inelastic dynamic analyses.
2.3 Estimation of economic loss using inelastic dynamic analysis
From each analysis, the cost of repair (which is less than or equal to the replacement cost) is
estimated for the building type analysed, using the models for member damage indices
proposed by Kappos et al. (1998b). The total loss for the entire building is derived from
empirical equations (calibrated against cost of damage data from Greece)
L = 0.25D
c
+ 0.08D
p
(5 storeys) (1a)
L = 0.30 D
c
+ 0.08D
p
(6 - 10 storeys) (1b)
where D
c
and D
p
are the global damage indices (1) for the R/C members and the masonry
infills of the building, respectively. Due to the fact that the cost of the R/C structural system
and the infills totals less than 40% of the cost of a (new) building, the above relationships give
values up to 38% for the loss index L, wherein replacement cost refers to the entire building.
In the absence of a more exact model, situations leading to the need for replacement (rather
than repair/strengthening) of the building are identified using failure criteria for members
and/or storeys, as follows:
In R/C frame structures (RC1 and RC3 typology), failure is assumed to occur (and then
L=1) whenever either 50% or more of the columns in a storey ‘fail’ (i.e. their plastic
rotation capacity is less than the corresponding demand calculated from the inelastic
analysis), or the interstorey drift exceeds a value of 4% at any storey (Dymiotis et al. 1999).

Citations
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Journal ArticleDOI
TL;DR: In this paper, a performance-based framework for modeling time-variant vulnerability of reinforced concrete buildings during aftershock sequences is presented, where structural damage is associated with first eigenperiod elongation, a performance metric whose measurement can complement visual inspection and assessment of structural health.

29 citations


Cites background from "Seismic Vulnerability and Loss Asse..."

  • ...HAZUS sets the collapse threshold at a maximum interstory drift of 0.0500 and 0.0333 for C2L and C2M buildings, respectively, while Kappos [40] at 0.02 for reinforced concrete buildings in Greece, which demonstrates that generic thresholds may not be suitable....

    [...]

  • ...0333 for C2L and C2M buildings, respectively, while Kappos [40] at 0....

    [...]

Journal ArticleDOI
TL;DR: In this article, the authors presented an operative damage forecasting and building tagging procedure for reinforced concrete buildings during synthetic aftershock sequences near Thessaloniki, Greece, for two hypothetical earthquake scenarios.

17 citations


Cites background from "Seismic Vulnerability and Loss Asse..."

  • ...The GMPE is a model proposed by Ambraseys et al. [60], which has been used to assess the seismic vulnerability of RC buildings in Greece [61]....

    [...]

  • ...The earthquake scenarios, aftershock sequences, and building models are presented in the second section of this article and are based on the test site of Thessaloniki (Greece)....

    [...]

  • ...The models are considered representative of three-dimensional structural systems in Greece and are used to estimate losses [46]....

    [...]

  • ...This value of the inter-story drift corresponds to the collapse threshold for RC buildings in Greece [55]....

    [...]

  • ...Silva et al. [73] proposes 5 · 10−5 and 10−4 as tolerable annual rates of collapse leading to loss of human life for low and moderate earthquake-prone countries, such as Greece (10−4 )....

    [...]

Journal ArticleDOI
TL;DR: This research proposes to assess urban seismic risk by integrating the direct economic loss and the loss of statistical life in a disaster, with consideration of diverse earthquake frequencies, through empirical research of the proposed assessment framework and corresponding models conducted in Xiamen, China.
Abstract: The growing densities of human and economic activities in cities lead to more severe consequences when a catastrophe such as an earthquake occurs. This study on urban seismic risk evaluation is carried out from the perspective of the direct loss caused by disasters in urban areas, including the measurement of both the expected direct economic loss and loss of life in the face of characteristic earthquakes. Aiming to estimate, quantify and visualize the earthquake risk in each unit of urban space, this research proposes to assess urban seismic risk by integrating the direct economic loss and the loss of statistical life in a disaster, with consideration of diverse earthquake frequencies. Empirical research of the proposed assessment framework and corresponding models is then conducted to measure urban seismic risk in Xiamen, China. Key findings of the case study include the expected direct economic losses and the expected number of deaths in three characteristic earthquakes, their estimated spatial distributions, the average loss of the value of a statistical life (VSL) of one average local resident and the overall seismic risk distributions in Xiamen.

8 citations


Cites background from "Seismic Vulnerability and Loss Asse..."

  • ...More recently, methodologies for vulnerability (fragility) curves have also been applied to estimate seismic damage and the direct economic loss of buildings at community and municipal levels [38,39]....

    [...]

Proceedings ArticleDOI
01 Jan 2015
TL;DR: In this article, a method for a probabilistic estimation of the time variation during aftershock sequences of the vulnerability of reinforced concrete structures which deteriorate as they accumulate damage and become more vulnerable is presented.
Abstract: We present a method for a probabilistic estimation of the time variation during aftershock sequences of the vulnerability of reinforced concrete structures which deteriorate as they accumulate damage and become more vulnerable. First we describe the steps of the proposed method and then we apply it in the case of two building models and two aftershock sequences. The degradation of the structural elements of the buildings is assumed to be stochastic and computed with time-history analyses using a hysteretic model of bending response. Then the engineering demand parameter of maximum drift is associated with the elongation of the fundamental period of the structure and we define limit damage states using as thresholds values of the period elongation ratio. The numerical models of the buildings that correspond to the defined damage states are defined and analyzed, in order to calculate their fragility curves and the probability of the damaged building models transitioning to higher damage states. The cumulative probability of exceeding a damage state for the selected aftershock sequences is calculated with a Markov chain whose transition matrices are a function of the intensity of the aftershocks. This results to the variation of the probability of exceedance of period elongation thresholds due to damage accumulation as a function of time during the selected aftershock sequences.

Cites background from "Seismic Vulnerability and Loss Asse..."

  • ...0333 for C2M buildings, while Kappos [29] at 0....

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  • ...HAZUS sets the collapse threshold at a maximum interstorey drift of 0.0333 for C2M buildings, while Kappos [29] at 0.02 for buildings in Greece....

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References
More filters
Journal ArticleDOI
TL;DR: In this article, the authors developed both vulnerability and capacity curves with reference to an assumed typological classification system; moreover, their cross-validation is presented in the paper and the parameters of the two methods and the steps for their operative implementation are provided.
Abstract: The European Commission funded the RISK-UE project in 1999 with the aim of providing an advanced approach to earthquake risk scenarios for European towns and regions. In the framework of Risk-UE project, two methods were proposed, originally derived and calibrated by the authors, for the vulnerability assessment of current buildings and for the evaluation of earthquake risk scenarios: a macroseismic model, to be used with macroseismic intensity hazard maps, and a mechanical based model, to be applied when the hazard is provided in terms of peak ground accelerations and spectral values. The vulnerability of the buildings is defined by vulnerability curves, within the macroseismic method, and in terms of capacity curves, within the mechanical method. In this paper, the development of both vulnerability and capacity curves is presented with reference to an assumed typological classification system; moreover, their cross-validation is presented. The parameters of the two methods and the steps for their operative implementation are provided in the paper.

615 citations


"Seismic Vulnerability and Loss Asse..." refers methods in this paper

  • ...It is also different from the empirical approach used by other researchers within the RISK-UE project (Lagomarsino & Giovinazzi 2006)....

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  • ...A more refined procedure based on the vulnerability index method (Lagomarsino & Giovinazzi 2006) was also used....

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  • ...A second interpretation of the available data using the vulnerability index approach (Lagomarsino & Giovinazzi 2006), re-assigning the intensities of Thessaloniki and Aegion to 6.5 and 7, respectively (based on comparisons with the Italian data), and finally using beta distributions for the…...

    [...]

  • ...According to the RISK-UE building typology matrix (Lagomarsino & Giovinazzi 2006), single-storey and two-storey buildings of the same material (stone or brick) should be grouped into a single category (M1....

    [...]

  • ...A purely empirical approach (similar to that used by other researchers, e.g. Spence et al. 1992, Lagomarsino & Giovinazzi 2006), was first adopted by the authors for deriving fragility curves in terms of intensity for URM buildings....

    [...]

Journal ArticleDOI
TL;DR: In this article, the authors presented a methodology followed by the AUTh team for the vulnerability assessment of reinforced concrete (R/C) and unreinforced masonry (URM) structures.
Abstract: The methodology followed by the Aristotle University (AUTh) team for the vulnerability assessment of reinforced concrete (R/C) and unreinforced masonry (URM) structures is presented. The paper focuses on the derivation of vulnerability (fragility) curves in terms of peak ground acceleration (PGA), as well as spectral displacement (sd), and also includes the estimation of capacity curves, for several R/C and URM building types. The vulnerability assessment methodology is based on the hybrid approach developed at AUTh, which combines statistical data with appropriately processed (utilising repair cost models) results from nonlinear dynamic or static analyses, that permit extrapolation of statistical data to PGA’s and/or spectral displacements for which no data are available. The statistical data used herein are from earthquake-damaged greek buildings. An extensive numerical study is carried out, wherein a large number of building types (representing most of the common typologies in S. Europe) are modelled and analysed. Vulnerability curves for several damage states are then derived using the aforementioned hybrid approach. These curves are subsequently used in combination with the mean spectrum of the Microzonation study of Thessaloniki as the basis for the derivation of new vulnerability curves involving spectral quantities. Pushover curves are derived for all building types, then reduced to standard capacity curves, and can easily be used together with the Sd fragility curves as an alternative for developing seismic risk scenarios.

302 citations


"Seismic Vulnerability and Loss Asse..." refers background or methods in this paper

  • ...3) are such as to warrant lumping them in one single class (RC4) for vulnerability assessment purposes (Kappos et al. 2006)....

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  • ...Instead of using semi-empirical interstorey drift values (the HAZUS approach), the AUTh group (Kappos 2001, Kappos et al. 2006) has suggested expressing the damage state thresholds in terms of the basic parameters of the capacity curve (yield displacement and ultimate displacement, both referring…...

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  • ...This set of failure criteria was proposed by Kappos et al. (2006); they resulted after evaluating a large number of inelastic time-history analyses....

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  • ...…specific information regarding the type of masonry (stone or brick), therefore the assumption that all URM buildings constructed before 1940 were stone masonry and all the rest brick masonry, was adopted, based on historical evidence on types of masonry construction in Greece (Kappos et al. 2006)....

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  • ...Empirical curves were first derived using the aforementioned databases and an exponential type of statistical model and they are reported in Kappos et al (2006); albeit useful, they are not deemed as sufficiently reliable, since data for only two intensities were available....

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Book
01 Dec 1996
TL;DR: In this article, the authors present a post-earthquake damage inspection and evaluation of buildings designed to modern design codes, including reinforced concrete linear elements and planar planar elements.
Abstract: Foreword. Preface. Introduction. Elements of engineering seismology. Elements of structural dynamics. Design principles and design seismic actions. Analysis of the structural system. Design action effects: safety verifications. Earthquake resistant properties of the materials of reinforced concrete. Earthquake resistant design of reinforced concrete linear elements. Earthquake resistant design of reinforced concrete planar elements. Evaluation of the seismic performance of buildings designed to modern design codes. Seismic pathologies. Emergency post-earthquake damage inspection and evaluation. Basic elements in the decision regarding post-earthquake rehabilitation. Repair and strengthening techniques. Index.

218 citations

Journal ArticleDOI
TL;DR: This paper will present the important features of a comprehensive study, highlight the methodology, discuss the results and provide insights to future developments of the earthquake risk scenario in Istanbul.
Abstract: The impact of earthquakes in urban centers prone to disastrous earthquakes necessitates the analysis of associated risk for rational formulation of contingency plans and mitigation strategies. In urban centers, the seismic risk is best quantified and portrayed through the preparation of “Earthquake Damage and Loss Scenarios.” The components of such scenarios are the assessment of the hazard, inventories and the vulnerabilities of elements at risk. For the development of the earthquake risk scenario in Istanbul, two independent approaches, one based on intensities and the second on spectral displacements, are utilized. This paper will present the important features of a comprehensive study, highlight the methodology, discuss the results and provide insights to future developments.

155 citations

Journal ArticleDOI
TL;DR: In this article, a hybrid methodology for seismic vulnerability assessment of reinforced concrete (R/C) and masonry buildings developed at the University of Thessaloniki (Greece) is applied to the same building stock.

150 citations


"Seismic Vulnerability and Loss Asse..." refers background in this paper

  • ...…damage (and loss) scenario studies appeared wherein some of the most advanced techniques have been applied to the urban habitat of European cities (Barbat et al. 1996, Bard et al. 1995, D’Ayala et al. 1996, Dolce et al. 2006, Erdik et al. 2003, Faccioli et al. 1999, Kappos et al. 2002, 2008, 2010)....

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Frequently Asked Questions (9)
Q1. What are the contributions in "Seismic vulnerability and loss assessment for buildings in greece" ?

In this paper, the authors present a methodology for seismic vulnerability assessment developed at the Aristotle University of Thessaloniki ( AUTh ), which is based on the so-called hybrid approach. 

A classification scheme that is deemed appropriate for the building stock in this area has been proposed, aiming at an adequate description of the R/C buildings that currently dominate the built volume, without neglecting the case of URM buildings, which due to their higher vulnerability are often an important contributor to the future losses. The Sd-based curves take into account the spectral characteristics of the motion but further research is needed in several points such as the case where the capacity spectrum method does not result in a solution, or the equal displacement assumption is not valid. The type of assumption made for the functional form of the fragility curve is also a key one, but the current trend world-wide seems to be towards adopting the lognormal cumulative distribution function ; the determination of damage medians and the variabilities associated with each damage state can be done using the procedures described in HAZUS, or the alternative ones suggested herein. Regarding the two different types of fragility curves that can be used, PGA-based curves offer a number of advantages, but also ignore, to an extent that depends on the spectral characteristics of the motions considered for deriving the fragility curves and their relationship to the characteristics of the scenario motions, the possibly lower damageability of motions with high PGA and spectra peaking over a very narrow band and/or with very short duration ( both these characteristics are more or less typical in strong motions recorded in Greece ). 

A key feature of the most recent among these studies, including the one presented here for Thessaloniki, is the use of advanced GIS tools that permit clear representation of the expected distribution of damage in the studied area and visualisation of the effects of any risk mitigation strategy that can be adopted on the basis of the scenario. 

It is within the scope of the work envisaged by the AUTh research group to improve the methodologies for assessing the vulnerability of both common and monumental structures, using damage information from past earthquakes in combination with nonlinear analysis of carefully selected representative structures. 

The curves presented herein refer mainly to simple stone masonry and brick masonry buildings, with sufficiently stiff floors to provide diaphragm action, such as reinforced concrete floor slabs or vaulted floors, which are by far the most common URM building types in Thessaloniki, as well as in the rest of Greek cities (see also Penelis et al. 2002). 

It is emphasised that due to the fact that the pushover curves used for the vulnerability assessment are bilinear versions of the actually calculated curves (see Fig. 3), a necessity arising from the fact that bilinear behaviour is considered in reducing the elastic spectrum to an inelastic one (or an equivalent elastic one for effective damping compatible with the energy dissipated by the inelastic system), the ‘ultimate’ capacity generally does not coincide with the actual peak strength recorded duringthe analysis. 

The first step for the utilisation of these two databases was the assignment of an appropriate intensity (or corresponding PGA) for the area they refer to. 

Despite the different type of analysis used in each case, the hybrid component was used for both types of buildings and in both cases the key empirical parameter was the cost of repair of a damaged building; this is a particularly useful parameter, but reliable data is not always available on it, which means that other parameters (structural damage indices) could certainly be explored within the broader frame of the hybrid approach. 

Regarding the level of seismic design and detailing, four subclasses could be defined, as follows:- No code (or pre-code): R/C buildings with very low level of seismic design or no seismic design at all, and poor quality of detailing of critical elements; e.g. RC1MN (medium-rise, no code).-