Crack Patterns Induced by Foundation Settlements: Integrated Analysis on a Renaissance Masonry Palace in Italy

This study presents some numerical results related to the analysis of the structural damage of a historic masonry building, Palazzo Gulinelli, in Ferrara, Italy. A detailed analysis of the inhomogeneities of the facade, historic documentation, and recent restoration interventions carried out in an adjacent building, suggest that the Palace underwent various modifications both on the structural configuration and on the borne loads. Such modifications might be the main cause of some differential settlements and of the consequent significant crack pattern on the load-bearing walls. Therefore, in the present paper the occurrence of a crack pattern on the facade is simulated by carrying out standard linear and non-linear finite element (FE) homogenized models; differential settlements are applied in order to reproduce the structural changes occurred over time. Previous experiences of the authors (for example, Acito and Milani in 2012 and Mallardo et al. in 2008), the current crack pattern of the building (of its facade in particular) and the monitoring data referring to some of them are the main references for the analysis carried out. The structural survey, the numerical results, and the data monitoring suggest two main conclusions: 1) a good correlation between numerical results and monitoring data is assessed, therefore the cracks can be reasonably related to past differential settlements; and 2) the cracks/damage that occurred as a consequence of differential foundation settlements reduce the ability of the facade to resist seismic actions.

[1]  Gabriele Milani,et al.  Seismic vulnerability of historical masonry buildings: A case study in Ferrara , 2008 .

[2]  Tomás Janda,et al.  Modeling of soil structure interaction during tunnel excavation: An engineering approach , 2013, Adv. Eng. Softw..

[3]  Tadahiko Kawai,et al.  New discrete models and their application to seismic response analysis of structures , 1978 .

[4]  Matthew Gilbert,et al.  Limit analysis of masonry block structures with non-associative frictional joints using linear programming , 2006 .

[5]  Gabriele Milani,et al.  Homogenization Approach for the Evaluation of Crack Patterns Induced by Foundation Settlement on an Old Masonry Building , 2012 .

[6]  Erik H. Vanmarcke,et al.  Differential Settlement of Buildings , 1974 .

[7]  Justo Garcia Navarro,et al.  Settlement Predictions, Bearing Capacity And Safety Factor Of Subsoil Of Seville's Giralda , 2012 .

[8]  Camilla Colla,et al.  Linee guida per la valutazione e riduzione del rischio sismico del patrimonio culturale , 2014 .

[9]  Vincenzo Mallardo,et al.  Structural assessments of the Church of the Nativity in Bethlehem , 2012 .

[10]  Gabriele Milani,et al.  A discontinuous quasi-upper bound limit analysis approach with sequential linear programming mesh adaptation , 2009 .

[11]  Peter Wriggers,et al.  An adaptive multiscale method for crack propagation and crack coalescence , 2013 .

[12]  Ezio Giuriani,et al.  Numerical analysis of a masonry façade subject to tunnelling-induced settlements , 2012 .

[13]  Giulio Maier,et al.  Incremental elastoplastic analysis and quadratic optimization , 1970 .

[14]  D. E. Grierson,et al.  Mathematical programming and nonlinear finite element analysis , 1979 .

[15]  Vincenzo Mallardo,et al.  Integral equations and nonlocal damage theory: a numerical implementation using the BDEM , 2009 .

[16]  Paulo B. Lourenço,et al.  Abbreviated Title : Homogenised limit analysis of masonry , failure surfaces , 2007 .

[17]  P. Lourenço,et al.  Three-dimensional limit analysis of rigid blocks assemblages. Part I: Torsion failure on frictional interfaces and limit analysis formulation , 2005 .

[18]  P. Lourenço,et al.  Multisurface Interface Model for Analysis of Masonry Structures , 1997 .

[19]  Alec Westley Skempton,et al.  THE ALLOWABLE SETTLEMENTS OF BUILDINGS. , 1956 .

[20]  M. Ferris,et al.  Limit Analysis of Frictional Block Assemblies as a Mathematical Program With Complementarity Constraints , 2001 .

[21]  Jaroslav Kruis Special Issue Dedicated to Professor Zdeněk Bittnar on the Occasion of his Seventieth Birthday: Part I , 2013, Adv. Eng. Softw..

[22]  Gabriele Milani,et al.  Limit analysis of masonry vaults by means of curved shell finite elements and homogenization , 2008 .

[23]  Vassilis Gikas,et al.  Settlement analysis of the Mornos earth dam (Greece): Evidence from numerical modeling and geodetic monitoring , 2008 .

[24]  G. Milani Simple homogenization model for the non-linear analysis of in-plane loaded masonry walls , 2011 .

[25]  Gabriele Milani,et al.  A simple meso-macro model based on SQP for the non-linear analysis of masonry double curvature structures , 2012 .

[26]  Paulo B. Lourenço,et al.  Homogenization approach for the limit analysis of out-of-plane loaded masonry walls , 2006 .

[27]  Eugenio Ruocco,et al.  The roof of the Church of the Nativity in Bethlehem: Structural problems and intervention techniques , 2012 .