Numerical analysis of the in-plane behaviour of three-leaf stone masonry panels consolidated with grout injection

This paper presents the calibration procedures of a numerical model based on the results of uniaxial and shear-compression tests on three-leaf stone masonry panels in scale 1:1 and 2:3, both in original and injected conditions. The stone masonry panels were simulated considering a macro-scale approach, where a nonlinear continuum damage model with distinct scalar damage parameters for tension and compression, implemented in the finite element software Cast3 M, was used to simulate the walls behaviour. The main goal of this paper is, first to calibrate, based on the obtained experimental results and using a phenomenological calibration strategy, a single set of parameters that represent a macroscopic constitutive law, by type of masonry, which is able to describe the different experimental tests. Afterwards, a parametric study was performed using the calibrated material laws, with the scope of assessing the influence of vertical pre-compression, slenderness and material strength on failure mechanisms and on different performance parameters such as the maximum load and displacement capacity (drift at ultimate state and drift at maximum load), for each type of masonry condition.

[1]  Vinh Phu Nguyen,et al.  MULTISCALE CONTINUOUS AND DISCONTINUOUS MODELING OF HETEROGENEOUS MATERIALS: A REVIEW ON RECENT DEVELOPMENTS , 2011 .

[2]  P. Lourenço.  Computational strategies for masonry structures : Proefschrift , 1996 .

[3]  Rui Faria,et al.  SIMULATION OF THE CYCLIC BEHAVIOUR OF R/C RECTANGULAR HOLLOW SECTION BRIDGE PIERS VIA A DETAILED NUMERICAL MODEL , 2004 .

[4]  Aníbal Costa,et al.  Calibration and application of a continuum damage model on the simulation of stone masonry structures: Gondar church as a case study , 2012, Bulletin of Earthquake Engineering.

[5]  Rui Faria.  Avaliação do comportamento sísmico de barragens de betão através de um modelo de dano contínuo , 1994 .

[6]  Luca Pelà,et al.  Seismic assessment of masonry arch bridges , 2009 .

[7]  Claudio Modena,et al.  Comparison of seismic analysis methods applied to a historical church struck by 2009 L’Aquila earthquake , 2015, Bulletin of Earthquake Engineering.

[8]  A. Saisi,et al.  Diagnosis and strengthening of historic masonry structures , 2004 .

[9]  R. Vitaliani,et al.  An orthotropic damage model for masonry structures , 2002 .

[10]  M. Massanas,et al.  Structural analysis of Küçük Ayasofya Mosque in istanbul , 2016 .

[11]  Miguel Cervera,et al.  A crack-tracking technique for localized damage in quasi-brittle materials , 2010 .

[12]  Z. Bažant.  Mechanics of Distributed Cracking , 1986 .

[13]  D. Addessi,et al.  A cosserat based multi-scale model for masonry structures , 2011 .

[14]  S. Oller,et al.  Regularization of first order computational homogenization for multiscale analysis of masonry structures , 2015, Computational Mechanics.

[15]  Mgd Marc Geers,et al.  Structural Damage Analysis of Masonry Walls using Computational Homogenization , 2007 .

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

[17]  M. Cervera,et al.  An orthotropic damage model for the analysis of masonry structures , 2013 .

[18]  Sergio Lagomarsino,et al.  DAMAGE MODELS FOR THE SEISMIC RESPONSE OF BRICK MASONRY SHEAR WALLS. PART II: THE CONTINUUM MODEL AND ITS APPLICATIONS , 1997 .

[19]  Maria Rosa Valluzzi,et al.  Compression and Sonic Tests to Assess Effectiveness of Grout Injection on Three-Leaf Stone Masonry Walls , 2014 .

[20]  Claudio Modena,et al.  Experimental assessment of in-plane behaviour of three-leaf stone masonry walls , 2014 .

[21]  Miguel Cervera,et al.  Structural Analysis of Masonry Historical Constructions. Classical and Advanced Approaches , 2010 .

[22]  Maria Rosa Valluzzi,et al.  Calibration of analytical formulations predicting compressive strength in consolidated three-leaf masonry walls , 2014 .

[23]  J. Oliver,et al.  A strain-based plastic viscous-damage model for massive concrete structures , 1998 .

[24]  24 .-Some Experimental Results on the Strength of Brick Masonry Walls , 2022 .

[25]  Z. Bažant,et al.  Crack band theory for fracture of concrete , 1983 .

[26]  Aníbal Costa,et al.  Experimental testing, numerical modelling and seismic strengthening of traditional stone masonry: comprehensive study of a real Azorian pier , 2012, Bulletin of Earthquake Engineering.

[27]  C. Modena,et al.  Macro-Scale Analysis of Damage to Churches after Earthquake in Abruzzo (Italy) on April 6, 2009 , 2012 .