The assessment of the seismic response of historical masonry buildings represents a subject of considerable importance but, at the same time, of very difficult task. Refined finite element numerical models, able to predict the non-linear dynamic mechanical behavior and the degradation of the masonry media, require sophisticated constitutive law and a huge computational cost that makes these methods nowadays not suitable for practical application. In the past many authors developed simplified or alternative methodologies that, with a reduced computational effort, should be able to provide numerical results that can be considered sufficiently accurate for engineering practice purposes. However most of these methods are based on simplified hypotheses that make these approaches inappropriate for monumental buildings. In this paper a three dimensional discrete element model, able to predict the nonlinear behaviour of masonry shell elements, is presented as an extension of a previously introduced spatial discrete-element conceived for the simulation of both the in-plane and the out-of-plane behavior of masonry plane elements. The new macro-element enriches a larger computational framework, based on macro-element approach, devoted to the numerical simulation of the seismic behaviour of historical masonry structures.
In the paper a simplified model for the evaluation of the seismic behaviour of masonry buildings is presented. The proposed methodology is based on the use of a new discrete element that with a reduced computational cost, with respect to a finite element simulation, is able to simulate the non-linear behaviour of a masonry panel in its own plane and for assemblage of a masonry building. The reliability of the proposed model has been evaluated by means of non-linear pushover analyses performed on masonry walls for which are available both theoretical and experimental results.
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