The b‐Value Analysis for the Stability Investigation of the Ancient Athena Temple in Syracuse

Some of the most significant architectural works are monumental masonry constructions. Among these, the Cathedral of Syracuse can be viewed as a fundamental element in the cultural heritage of Europe. For the preservation of these monuments, it is necessary to assess their durability by taking into account cumulative damage and cracking conditions in the structures. The paper describes the methods used by the authors to determine the conditions of the materials and the crack patterns in the stonework structures of the Cathedral. In particular, the acoustic emission (AE) technique is used to evaluate the time dependence of damage and the onset of critical conditions in a pillar, which is part of the vertical load-bearing structures. The authors show that the damage evolution in the stonework structures, experimentally investigated in situ by the AE technique, can be described by a power law characterised by a non-integer exponent, βt. In this way, the time dependence of damage is evaluated by working out the βt exponent and making a prediction of the stability conditions of the structure. Furthermore, the achievement of the critical condition is characterised through another synthetic parameter, the b-value of the Gutenberg-Richter law. The b-value systematically changes during the different stages of the failure process and tends to 1.0 as the structure reaches the final collapse. In the present study, this behaviour is documented by several AE tests carried out on specimens of different dimensions extracted from the pillar. In addition, these results are compared with the AE data obtained from the in situ-monitored pillar.

[1]  Antonella Saisi,et al.  Evaluation of the seismic vulnerability of the Syracuse Cathedral: investigation and modelling , 2007 .

[2]  I. Palmer,et al.  Acoustic emission — 3: The use of ring-down counting , 1973 .

[3]  N. Kato,et al.  Microfracture processes in the breakdown zone during dynamic shear rupture inferred from laboratory observation of near-fault high-frequency strong motion , 1994 .

[4]  D. Lockner,et al.  Quasi-static fault growth and shear fracture energy in granite , 1991, Nature.

[5]  C. Scholz,et al.  Dilatancy in the fracture of crystalline rocks , 1966 .

[6]  C. Scholz The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes , 1968 .

[7]  Michael Forde,et al.  Assessing Damage of Reinforced Concrete Beam using b -value Analysis of Acoustic Emission Signals , 2003 .

[8]  T. Hirata Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales , 1989 .

[9]  Surendra P. Shah,et al.  Frequency-Dependent Stress Wave Attenuation in Cement-Based Materials , 1995 .

[10]  K. Mogi,et al.  Frequency characteristics of acoustic emission in rocks under uniaxial compression and its relation to the fracturing process to failure , 1982 .

[11]  Antonella Saisi,et al.  Investigation on the pillars of the Syracuse Cathedral in Sicily , 2006 .

[12]  Zhang Liu,et al.  Granite deformation and behavior of acoustic emission sequence under the temperature and pressure condition at different crust depths , 2000 .

[13]  Luigia Binda,et al.  Stability of the vertical bearing structures of the Syracuse Cathedral: experimental and numerical evaluation , 2009 .

[14]  Christopher H. Scholz,et al.  Microfracturing and the inelastic deformation of rock in compression , 1968 .

[15]  Xinglin Lei,et al.  How do asperities fracture? An experimental study of unbroken asperities , 2003 .

[16]  Alberto Carpinteri,et al.  Mechanical damage and crack growth in concrete: Plastic collapse to brittle fracture , 2011 .

[17]  John B. Rundle,et al.  Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems , 2003 .

[18]  Giuseppe Lacidogna,et al.  Damage Monitoring of an Historical Masonry Building by the Acoustic Emission Technique , 2005 .

[19]  Luigia Binda,et al.  Evaluation of the repair on multiple leaf stone masonry by acoustic emission , 2008 .

[20]  Antonella Saisi,et al.  INVESTIGATION PROCEDURES FOR THE DIAGNOSIS OF HISTORIC MASONRIES , 2000 .

[21]  A. Pollock Acoustic emission - 2: Acoustic emission amplitudes , 1973 .

[22]  Alberto Carpinteri,et al.  Damage evaluation of three masonry towers by acoustic emission , 2007 .

[23]  Kiyoo Mogi,et al.  Magnitude-Frequency Relation for Elastic Shocks Accompanying Fractures of Various Materials and Some Related problems in Earthquakes (2nd Paper) , 1963 .

[24]  A. Carpinteri Scaling laws and renormalization groups for strength and toughness of disordered materials , 1994 .

[25]  Luigia Binda,et al.  Numerical simulation and monitoring of the Cathedral of Siracusa in Sicily , 2008 .

[26]  Giuseppe Lacidogna,et al.  Structural damage diagnosis and life-time assessment by acoustic emission monitoring , 2007 .

[27]  Z. T. Bieniawski,et al.  Mechanism of brittle fracture of rockPart IIexperimental studies , 1967 .

[28]  S. Stanchits,et al.  Source analysis of acoustic emissions in Aue granite cores under symmetric and asymmetric compressive loads , 1998 .

[29]  N. Odling,et al.  Scaling of fracture systems in geological media , 2001 .

[30]  Antonella Saisi,et al.  The complementary use of on site non destructive tests for the investigation of historic masonry structures , 2003 .

[31]  John A. Hudson,et al.  SOFT, STIFF AND SERVO-CONTROLLED TESTING MACHINES: A REVIEW WITH REFERENCE TO ROCK FAILURE , 1972 .

[32]  Alberto Carpinteri,et al.  Structural Monitoring and Integrity Assessment of Medieval Towers , 2006 .

[33]  Z. T. Bieniawski,et al.  Mechanism of brittle fracture of rockPart Itheory of the fracture process , 1967 .

[34]  Alessandro Vespignani,et al.  Intermittent dislocation flow in viscoplastic deformation , 2001, Nature.

[35]  B. Stimpson,et al.  Identifying crack initiation and propagation thresholds in brittle rock , 1998 .

[36]  Xinglin Lei,et al.  Compressive failure of mudstone samples containing quartz veins using rapid AE monitoring: the role of asperities , 2000 .

[37]  Giuseppe Lacidogna,et al.  Morphological Fractal Dimension Versus Power-law Exponent in the Scaling of Damaged Media , 2009 .

[38]  S. Puzzi,et al.  Critical defect size distributions in concrete structures detected by the acoustic emission technique , 2008 .

[39]  M. V. M. S. Rao,et al.  Analysis of b-value and improved b-value of acoustic emissions accompanying rock fracture , 2005 .

[40]  Giuseppe Lacidogna,et al.  Acoustic emission monitoring and numerical modeling of FRP delamination in RC beams with non-rectangular cross-section , 2007 .