Seismic performance of older R/C frame structures accounting for infills-induced shear failure of columns
Introduction
Prior to the development of seismic building codes of practice most structures were designed to resist gravity loads only. The result is that a large portion of today building stock has inadequately detailed structural members and, in regions of medium and high seismicity, these structures represent a high risk.
There are several complex mechanical aspects inherent to the building stock of older infilled frame reinforced concrete frames, such as the interaction between frame and infill panels [1], [2], the presence of unreinforced joints [3], possible bond-slip or anchorage slip near the joints [4], [5], [6], the axial–flexural interaction and flexure–shear interactions in frame components [7], [8]. These mechanisms can significantly affect the local response of buildings and, if not accounted for in an accurate manner, compromise the accuracy of the global seismic performance assessment.
Common causes for the poor performance of older infilled reinforced concrete frame structures are the presence of a soft story and captive columns [9]. However, several major earthquakes have also shown that severe damage and collapse may also occur in the case of uniformly infilled frames with shear deficient columns [10].
Collapse assessment of structures having the key deficiencies described above can be performed using simplified yet reliable modeling approaches for nonlinear analysis. The most common modeling techniques for infilled frames can be divided into two main classes: (1) Local or Micro models, and (2) Simplified or Macro-models. Micro-models, that rely on the infill discretization into 2D fine elements, can accurately capture the behavior at the local level, the cracking patterns, the ultimate load and the collapse mechanisms. However, the inherent computational effort [11], [12], makes them unpractical for practicing structural engineers, whereas Macro-models, that typically rely on the so-called bidiagonal strut models, are more often chosen as a trade-off between accuracy and ease of use. These simplified models [13], [14], [15] retain a reasonable precision in describing the salient features of the infill failure and of the infill–frame interaction, provided appropriate geometry and constitutive laws are used.
Following several years of research, infill models are now available in several structural engineering softwares that can capture different failure mechanisms, such as diagonal cracking, corner crushing, and horizontal sliding of panels [16], [17] and may extend to consider out-of-plane mechanisms [18], [19].
Critical modeling aspects for accurately simulating the interaction of the panels with the surrounding frame are: the infill type, the opening location and opening percentage [20], the infill constitutive model selection [21], [22], [15], and, most importantly, the shear failure of the concrete columns interacting with the unreinforced masonry infills. Assessing the importance of these mechanisms and parameters is a key issue for creating reliable structural models for the performance assessment of non ductile R/C frames.
Several works show why and how inelastic shear mechanisms should be modeled in RC members and in particular in poorly detailed columns, in terms of shear strength, degradation and cyclic shear rule [23], [24], [25], [26], [27], [28], [29], [30], [8]. A shear strength model and a phenomenological macro model of shear failure were proposed by Elwood [31], and more recently by Baradaran Shoraka et al. [32].
On the other hand, there are limited studies on the infill induced shear failure of columns in R/C frame structures [33], [34], [35]. Among these, D’Ayala et al. [33], proposed an approach based on detailed micro models, whose application shows good correlation with experimental results and captures the actual shear failure mechanism of the columns. However, the computational effort of this approach is still unpractical for application to entire structures.
The infill macro modeling technique proposed by Celarec and Dolsek [34], within the toolbox by Dolšek [36], is based on an iterative pushover analysis scheme intended to capture the shear failure of columns. This method effectively reproduces the global level response, however it neglects the redundancy and force redistribution that lead to the progressive collapse of the structure. Burton and Deierlein [35], study the collapse simulation considering infills–frame interaction, infills-induced shear failure in the columns and foundation flexibility effects on the overall frame response. This work assumes that the lateral thrust transferred to the column is not greater than 25% of the total infill strut force. Results from this work refer to solid unreinforced masonry walls typical of structures built in California the 1920s, whereas in other regions infill panels are made of softer hollow clay bricks.
The shear strength models and the shear behavior macro-models by Elwood [31], and Baradaran Shoraka et al. [32], have been more recently employed for collapse assessment in presence of infill–frame interaction [37] with lumped plasticity elements and strong brick infills modeled with equivalent struts.
The objective of the research presented in this paper is to carry out a comprehensive evaluation of the impact of shear failure of columns on the building performance accounting for the different types of components/mechanisms, and common structural layouts. The different nonlinear models, are incorporated into an advanced computational finite element model accounting for: (1) the axial force–bending moment column response and interaction, modeled through fiber-based sections, (2) the interaction between hollow clay infills and frame through concentric and eccentric bidiagonal struts, (3) the shear response, including shear failure and post-peak degradation in poorly detailed columns modeled with elastic and inelastic cyclic shear rules. Results from the plane frame configuration analyzed herein can be easily extended to other configurations in height.
For the purpose of this study, a trade-off between accuracy and simplicity of use in presence of masonry infills, is the model used by Marini and Spacone [8], where the shear deformations are uncoupled from flexural and axial effects at the section level, but are coupled at the element level where equilibrium between shear forces and bending moments is enforced. The model relative simplicity makes it well suited for global collapse assessment, in particular in conjunction with fiber section-based frame elements.
At the global structural assessment level, the static pushover procedure based on the N2 Method demand determination [38], [39] is a widely used nonlinear method of analysis for seismic performance assessment of buildings. The inherent limitations of the N2 method in capturing the inelastic demand due to the overall strength degradation typical of infilled frames can be overcome using the extended N2 method, Dolšek and Fajfar [40], and through the more robust Nonlinear Time History and Incremental Dynamic Analysis (IDA) procedure [41].
The evaluation is carried out with reference to three configurations, namely the Bare Frame model (BF), the Uniformly Infilled Frame model (UIF), and the Partially Infilled Frame (PIF) model. These are representative of the most typical layouts of building structures, where interior frames are usually non-infilled, and exterior frames present full or partial infilling. The bare frame model is most commonly adopted in design assumptions by practicing engineers, and comparison of results on different configurations can bring insight into the impact of realistic models of infills and shear mechanisms.
Parametric sensitivity is investigated with respect to location of openings, infill type, and uncertainty inherent to the selection of the equivalent strut constitutive model.
The performance of the different configurations is evaluated over a range of 16 hazard levels and is checked for the code-mandated reference limit states. Results on all configurations are presented in terms of IDA curves, demand statistics and fragility curves, and compared with capacity curves and pushover-based demand estimates.
Section snippets
Nonlinear models and analyses
A set of structural models representative of different configurations of a planar R/C infilled frame structure is developed within the nonlinear computational platform OpenSees [42]. The seismic performance of the different models is assessed through the nonlinear static pushover (PO) and Incremental Dynamic (IDA) analysis procedures on parallel computers using OpenSeesMP [43], which has been already used to perform parallel nonlinear time history analyses for seismic response assessment of R/C
Case study configurations
The prototype R/C building structure used is a three stories non-ductile concrete frame building with unreinforced infills representative of Italian design practice of the 1970s. The plan and elevation views of the frame in the longer direction are shown in Fig. 3. The building has two-wythes hollow masonry walls on the perimeter and bare frames in the interior. The concrete cylinder strength f′c is set to the mean value of 20.75 MPa. Similarly, the steel strength fy is set to 340 MPa. The values
Numerical results – static analyses
The performance of the different configurations is evaluated over a range of 16 hazard levels and is checked for the Italian NTC08 code-mandated reference limit states, namely operationality (OP), damage control (DC), life safety (LS) and near collapse (NC), corresponding to 81%, 63%, 10%, and 5% probability of exceedance (PE) respectively. Results from nonlinear static analyses on frames with moderate strength infills as in Table 2 are presented in Fig. 6 in terms of global capacity curves and
Numerical results – incremental dynamic analyses
In this section we carry out dynamic analyses to compare the incremental performance of the different infilled frame configurations and to evaluate the impact of the shear strength and nonlinear shear rule. The IDA analyses are intended to provide indications on the response statistics as well as more accurate response estimates, particularly in the case of configurations with strength degradation, for which traditional PO methods are considered to be less robust. IDA curves are plotted for
Conclusions
This paper presents a comprehensive evaluation of the effects of the infills–R/C frame interaction for an existing frame designed according to the 1939 Italian building code. In general, infills would be beneficial if the surrounding R/C frame columns have sufficient shear capacity to resist the eccentrical horizontal forces applied by the infills. On the other hand, shear deficient columns can induce a brittle collapse of the structure prior to the formation of a soft story mechanism.
A
Acknowledgements
The authors acknowledge the contribution of the European Commission through a PhD fellowship to the first author within the EU-NICE Erasmus Mundus project [58].
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