Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions

Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an exponential rate as the size of the extra dimension increases. Before this method can be used in dynamical simulations of lattice QCD, the dependence of the restoration rate to the other parameters of the theory and, in particular, the lattice spacing must be investigated. In this paper such an investigation is carried out in the context of the two flavor lattice Schwinger model.Comment: LaTeX, 37 pages including 18 figures. Added comments regarding power law fitting in sect 7. Also, few changes were made to elucidate the content in sect. 5.1 and 5.3. To appear in Phys. Rev.

Damage Assessment in Concrete Structures using PZT patches

Piezoelectric based PZT smart sensors offer significant potential for continuously monitoring the development and progression of internal damage in concrete structures. PZT-based damage sensors consisting of piezo-electric patches, which are bonded to the surface of a concrete structure can be developed for assessing the damage progression of concrete members. The primary challenge in developing a PZT-based sensor lies in developing a methodology to infer about the level of damage in the material from measurement. Changes in the resonant behavior in the measured electrical conductance obtained from electro-mechanical (EM) response of a PZT bonded to a concrete substrate is investigated for increasing levels of damage. The sensitivity of EM impedance- based measurements to level of damage in concrete is reported. Incipient damage in the form of microcracks in the concrete substrate produces a change in the electrical conductance signature associated with the resonant peaks. Changes in the conductance resonant signature from EM conductance measurement are detected before visible signs of cracking. The root mean square deviation of the conductance signature at resonant peaks is shown to accurately reflect the level of damage in the substrate. The findings presented here provide a basis for developing a sensing methodology using PZT patches for continuous monitoring of concrete structures

PZT Sensor Arrays for Integrated Damage Monitoring in Concrete Structures

The broad objective of the work reported here is to provide a fundamental basis for the use of Lead Zirconate Titanate (PZT) patches in damage detection of concrete structures. Damage initiation in concrete structures starts with distributed microcracks, which eventually localize to form cracks. By the time surface manifestation in the form of visible cracking appears there may be significant degradation of the capacity of the structure. Early detection of damage, before visible signs appear on the surface of the structure is essential to initiate early intervention, which can effectively increase the service life of structures. Development of monitoring methodologies involves understanding the underlying phenomena and providing a physical basis for interpreting the observed changes in the parameters which are sensed. PZT is a piezoelectric material, which has a coupled constitutive relationship. In the case of the PZT patches bonded to a concrete structure, any sensing strategy requires developing an understanding of the coupled electromechanical (EM) response of the PZT-concrete system. The challenges associated with the use of PZT patches for damage monitoring in a concrete substrate include providing the following: a clear understanding of the fundamental response of the PZT patch when bonded to a concrete substrate; interpretation of the coupled response of the PZT patch under load induced damage; and development of an efficient, continuous monitoring methodology to sense a large area of the concrete substrate. Due to a lack of a fundamental basis, the use of PZT patches in concrete structures often involves inferring the measured response using model-based procedures. The work outlined in this thesis addresses the key issue of developing the theoretical basis and providing an experimental validation for PZT-based damage monitoring methodology for concrete structures. A fundamental understanding of response of the PZT patch when bonded to concrete substrate is developed. The outcome of the work is an integrated local and distributed sensing methodology for concrete structures by combining the electromechanical impedance and stress wave propagation methods using an array of bonded PZT patches. The work presented in this thesis is focused on using PZT patches bonded to a concrete substrate. A fundamental understanding of the coupled electromechanical behaviour of a PZT patch under an applied electrical excitation in an electrical impedance (EI) measurement, is developed. The influence of the substrate size and its material properties on the frequency dependent EI response of a PZT patch is investigated using concrete substrates of different sizes. The dynamic response of a PZT patch is shown to consist of resonance modes of the PZT patch with superimposed structural response. The resonance behaviour of the PZT patch is shown to be influenced by the material properties of the substrate. The size dependence in the EI response of a PZT patch bonded to a concrete substrate is produced by the dynamic behaviour of the structure. The size of the local zone of the concrete material substrate in the vicinity of the bonded PZT patch, which influences the frequency dependent EI response of the PZT patch is identified. For each resonant mode, a local zone of influence, which is free from the influence of boundary is identified. The dynamic response of the PZT resonant mode is influenced by the elastic material properties and damping within the zone of influence. The structural effects of the concrete substrate produced by the finite size of the specimen are separated from the material effects produced by the material properties and the material damping in the coupled EM response of the bonded PZT patch. The influence of size of the concrete substrate on the coupled impedance response of the PZT is identified with peaks of structural resonance, which are superimposed on the resonant peaks of the bonded PZT patch The EI response of the PZT patch when bonded to concrete for detecting load-induced damage from distributed microcrack to localized cracks within the zone of influence of the PZT patch is investigated. Using an approach which combines an understanding of the coupled EM constitutive behaviour of PZT with experimental validation, a methodology is developed to decouple the effects of stress and damage in the substrate on the coupled EM response of a PZT patch. The features in the EI signature of a bonded PZT patch associated with stress and damage are identified. An increasing level of distributed damage in the concrete substrate produces a decrease in the magnitude and the frequency of the resonant peak of the bonded PZT patch. The substrate stress produces a counter acting effect in the EI spectrum of the bonded PZT patch. A measurement procedure for the use of bonded PZT patches for continuous monitoring of stress-induced damage in the form of distributed microcracks in a structure under loading is developed. An integrated methodology for damage monitoring in concrete structures is developed by combining the EI method for local sensing and the stress wave propagation-based method in a distributed sensing mode. An array of surface mounted PZT sensors are deployed on a concrete beam. The EI measurements from individual PZT sensors are used for detecting damage within the local zone of influence. PZT sensor pairs are used as actuators and sensors for distributed monitoring using stress wave propagation. A stress-induced crack is introduced in a controlled manner. It is detected very accurately from the full-field displacement measurement obtained using digital image correlation. The crack opening profile in concrete produced by the fracture is established from the surface displacement measurements. From the measurements of bonded PZTs, the localized crack is detected in the zone of influence by EI. The change in compliance of the material medium due to a localized crack is small and it is reflected in the smaller change in the measured EI when compared to distributed damage. Stress wave based measurements sensitively detect crack openings on the order of 10m. The material discontinuity produced by a closed crack, after removal of the stress is also detected. A damage matrix is developed for stress wave based method which is independent of transmission path to assess the severity of damage produced by the crack in a concrete structure

Studies on Nundydroog gold ore with a view to improving gold recovery

GOLD is distributed widely in India though occurrence in workable quantities are not many. The most important gold mines are found in Kolar Gold Field situated in Mysore State. Although some 26 quartz lodes more or less parallel are known to occur, only one reef namely, the Champion, is being exploited and all the four mines viz., Mysore, Champion, Oreeaum and Nundydroog have been developed along its strike. During the last few years the ore from the western reef of Nundydroog is being mined in large tonnages. Nearly 21 000 tons per month are milled and the ore as an average carried a gold content of 5.6 dwt/ton. Since the ore body is highly mineralised, several metallurgical problems, such as greater wear and tear of machineries, difficulties during cyanidation due to the presence of sulphides, increased consumption of chemicals and higher tailing values are experienced at Kolar

Lattice Chiral Schwinger Model in the Continuum Formulation

We pursue further an approach to lattice chiral fermions in which the fermions are treated in the continuum. To render the effective action gauge invariant, counterterms have to be introduced. We determine the counterterms for smooth gauge fields, both analytically and numerically. The final result is that the imaginary part of the effective action can be computed analytically from the lattice gauge field, while the real part is given by one half of the action of the corresponding vector model.Comment: 3 pages, 2 figures, contribution to the LATTICE97 Proceeding

Studies on Nundydroog Gold Ore with a view to Improving Gold Recovery

Gold is distributed widely in India though occurences in workable quantities are not many. The most important gold mines are found in Kolar Gold field situated in Mysore state. Although some 26 quartz lodes, more or less parallel are known to occur, only one reef namely, the champion, is being exploited and all the four mines viz. Mysore, Champion, Coregaum and Nundyroog have been developed along its strike.During the last few years the ore from the Western reef of Nundydroog is being mined in large tonnages. Nearly 21000 tons per month are milled and the ore as an average carried a gold content of 5.6 dwt/ton gold. Since the ore body is highly mineralised, several metallurgical problems, such as greater wear and tear of machineries, difficulties during cyanidation due to the presence of sulphides, increased consumption of chemicals and higher tailing values are experienced at Kola

Damage Assessment in Concrete Structures using PZT patches

Piezoelectric based PZT smart sensors offer significant \ud potential for continuously monitoring the development and \ud progression of internal damage in concrete structures. \ud PZT-based damage sensors consisting of piezo-electric \ud patches, which are bonded to the surface of a concrete \ud structure can be developed for assessing the damage \ud progression of concrete members. The primary challenge \ud in developing a PZT-based sensor lies in developing a \ud methodology to infer about the level of damage in the \ud material from measurement. Changes in the resonant \ud behavior in the measured electrical conductance obtained \ud from electro-mechanical (EM) response of a PZT bonded \ud to a concrete substrate is investigated for increasing \ud levels of damage. The sensitivity of EM impedance- \ud based measurements to level of damage in concrete is \ud reported. Incipient damage in the form of microcracks in \ud the concrete substrate produces a change in the electrical \ud conductance signature associated with the resonant \ud peaks. Changes in the conductance resonant signature \ud from EM conductance measurement are detected before \ud visible signs of cracking. The root mean square deviation \ud of the conductance signature at resonant peaks is shown \ud to accurately reflect the level of damage in the substrate. \ud The findings presented here provide a basis for developing \ud a sensing methodology using PZT patches for continuous \ud monitoring of concrete structures

Lattice chiral fermions in the background of non-trivial topology

We address the problem of numerical simulations in the background non-trivial topology in the chiral Schwinger model. An effective fermionic action is derived which is in accord with established analytical results, and which satisfies the anomaly equation. We describe a numerical evaluation of baryon number violating amplitudes, specifically the 't Hooft vertex.Comment: LATTICE99(Chiral Gauge Theories