Abstract

The probabilistic analysis of the seismic performance of a structure requires quantifying the uncertainties of the involved variables and parameters, including the seismic action and mechanical properties of its elements. In this article, the seismic performance of high-rise, mid-rise and low-rise of steel buildings, subjected to long duration seismic actions like those of Mexico City, is analyzed. The analysis is conducted by using a probabilistic approach. The seismic actions are selected to be compatible with the design spectra of the Mexican seismic code for soft soils and long duration earthquakes, characteristic for this region. The dynamic analyses are performed by using Monte Carlo simulations. The strength and ductility of the beams and columns are considered random variables; the seismic actions are also modelled in a probabilistic way. The damage index of Park and Ang is used. The results show that the uncertainties expected in the response are significant, being the randomness of the seismic action the main cause. From the comparison between the mean values of the probabilistic approach and those corresponding to the deterministic case, a good consistency of the result obtained for low-rise and mid-rise buildings is observed. Nevertheless, the consistency is lower in the case of high-rise buildings. The analyzed low-rise and mid-rise buildings show a good seismic performance to seismic actions, but the high-rise buildings show slight or moderate damage. It is concluded that the probabilistic approach provides a more complete information on the structural response.

Abstract

The present work aims at advancing an innovative computational methodology that simulates steel and composite material fracture under cyclic loading following a phenomenological approach, with calibration from both small scale and large scale testing. This work addresses fatigue processes ranging from High Cycle to Ultra-Low-Cycle Fatigue. An assessment of the current state of the art is done for all the di erent fatigue types. Following, for Ultra-Low Cycle Fatigue a new constitutive law is proposed and validated with experimental results obtained on small scale samples. Industrial applications are shown for a large diameter straight pipe under monotonic loading conditions and for a bent pipe under cyclic loading. Emphasis is made on the capacity of the model to represent di erent failure modes depending on the loading conditions. The research regarding this part has been used in the frame of the European Project: \Ultra low cycle fatigue of steel under cyclic high-strain loading conditions" (ULCF). Regarding High Cycle Fatigue, a classic damage model is presented in combination with an automatic load advancing strategy that saves computational time when dealing with load histories of millions of cycles. Numerical examples are shown in order to demonstrate the capabilities of the advancing strategy and a validation of the model is done on small scale samples. A new constitutive model is presented for Low Cycle Fatigue that uses the classic plasticity and damage theories and simultaneously integrates both processes in the softening regime. The capabilities of the model are shown in numerical examples. Finally, the High Cycle Fatigue damage model is applied to the constituents of a composite material and the structural behaviour is obtained by means of the serial/parallel rule of mixtures. Validation of the constitutive formulation is done on pultruded glass ber reinforced polymer pro les.

Abstract

The incremental dynamic analysis is a powerful tool for evaluating the seismic vulnerability and risk of buildings. It allows calculating the global damage of structures for different peak ground accelerations, PGA, and representing this result by means of damage curves. Such curves are currently used to obtain seismic risk scenarios at urban level. Even if the application of this method in a probabilistic environment requires a relevant computational effort, this has to be the reference method for determining those curves. Nevertheless, it would be of high practical interest to have a simpler method based, for instance, on pushover analysis, for assessing the seismic vulnerability and risk of buildings, which allows obtaining results similar to those based on the incremental dynamic analysis. Referring to the capacity-spectrum-based-methods, expert opinions have been used in previous researches for defining damage states thresholds starting from the yielding and the ultimate spectral displacement identified in the bilinear capacity spectrum. Therefore, we propose in this article a new procedure for defining the damage states thresholds, based on the stiffness degradation of reinforced concrete building, and a fully probabilistic approach is tackled by means of Monte Carlo simulations. It is demonstrated in the paper that the obtained results are in good agreement with those calculated using the incremental dynamic analysis.

Abstract

A comprehensive and probabilistic seismic risk assessment has been performed for the buildings of Lorca, the most affected city in the region of Murcia, Spain, after the May 2011 earthquake. Seismic hazard is represented through a set of stochastic scenarios that allow accounting for small, moderate and extreme events in the future losses, also through spectral transfer functions the dynamic soil response has been considered. A building by building resolution level database has been used allowing the disaggregation of risk results in several categories besides allowing the generation of risk maps to visualize the geographical distribution of the future losses. For each of the identified building classes a vulnerability function has been assigned to determine the expected losses for different acceleration levels. Risk results have been obtained in terms of the loss exceedance curve from where other probabilistic risk metrics such as the average annual loss and the probable maximum loss can be derived. Risk results are useful for the decision-makers in the fields of emergency planning, existent building retrofitting schemes and financial protection through traditional insurance and reinsurance schemes or with alternative risk transfer instruments.