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Researchers and practitioners widely employ simplified Equivalent Frame Models (EFM) for reproducing the in-plane governed response of unreinforced brick masonry (URM) structures, as they typically represent an acceptable compromise between numerical accuracy and computational cost. However, when considering URM structural systems with irregular opening distribution, the definition of the effective height and length of deformable components (i.e. pier and spandrel elements) still represents an open challenge. In this work, the influence of irregular distribution of openings on the predicted lateral response of full-scale URM façades was investigated. To this end, several geometrical combinations characterised by various degrees of irregularity were considered and idealised according to commonly employed EF discretisation approaches. Then, after a preliminary calibration process against experimental tests on both individual piers and a full-scale building façade, EFM results were compared with micro-modelling predictions, carried out within the framework of the Applied Element Method and used as a benchmark. Although in specific irregular configurations using some discretisation approaches, macro and micro-models converge to similar results, non-negligible differences in terms of initial lateral stiffness, base-shear and damage distribution were observed with other EF schemes or opening layouts, thus indicating that a careful selection of appropriate criteria is indeed needed when performing in-plane analyses of URM systems with irregular opening distributions. Finally, building on inferred simulated data, potential solutions are given to overcome typical EF discretisation issues and better approximate micro-modelling outcomes.

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A majority of the residential building stock in Groningen (The Netherlands), which has been lately exposed to low intensity ground motions due to gas extraction, consists of unreinforced masonry (URM) structures not originally designed to withstand earthquakes. Amongst them, the terraced house building typology proved to be particularly vulnerable towards horizontal actions. Experimental results from a recently performed shake-table test on a full-scale terraced house prototype, characterised by the presence of a timber retrofitting system, seem to indicate that the dynamic response of these structures might be consistently improved through the employment of such a cost-effective light retrofitting solution. In this work, an advanced discontinuum-based model, implemented in the framework of the Applied Element Method (AEM), is developed to extend experimental results and to numerically investigate the influence of a number of additional timber retrofit layouts, characterised by different geometrical configurations, on the building behaviour. Each timber component was explicitly represented in the AEM models to represent the possible interaction among URM walls and the retrofitting system. First, the proposed modelling strategy is validated against experimental tests on both non-retrofitted and retrofitted URM panels subjected to cyclic shearcompression loading. Then, calibrated mechanical parameters were directly implemented in the full-scale building model. Given the good agreement between numerical and experimental outcomes in terms of both damage evolution and hysteretic response, a comprehensive parametric study was undertaken. Numerical evidence seems to suggest that the employment of different retrofit layouts may have a significant influence on the dynamic behaviour of the selected building typology.