Measurement of residual stresses by the hole-drilling method: General stress-strain relationship and its solution

Automatic photoelastic methods for the analysis of Membrane residual stresses in glass

Elaborazione delle immagini con il metodo della trasformata di Fourier: il caso della fotoelasticità.

The carrier fringes method has been proposed in digital photoelasticity in combination with techniques such as Fourier transform and phase shifting method, without considering the influence of the isoclinics on the isochromatic patterns analysis. Unlike other optical methods as moiré and holographic interferometry, in photoelasticity the light intensity emerging from a circular polariscope is related to both the isochromatic retardation and the isoclinic parameter. As it is shown by the theoretical analysis, owing to the misalignment between the principal stresses in the model and in the carrier, the computed retardation is affected by an error which is the same for all photoelastic methods…

Analisi sperimentale delle tensioni con gli estensimetri elettrici a resistenza

Analisi sperimentale delle tensioni con la fotomeccanica

Photothermoelastic analysis of thermal stresses in discs with eccentric holes

The paper deals with thermal stresses that arise in discs with eccentric holes, such as are employed in the rotors of multi-stage gas turbines. The stress distribution was analysed by the photothermoelastic method. CR 39 sheets were used as the material and dry ice as the refrigerant. The effect of several geometric parameters on stress distribution, especially the influence of adjacent holes, was investigated by testing 32 configurations of discs. Curves that allow the determination of the peak stresses and optimum spacing of holes are given.

A single hologram technique for the determination of absolute retardations in holographic photoelasticity

A method for the determination of the absolute retardations families in photoelasticity. The method, which use real-time holographic interferometry, requires only one hologram for the observation of the absolute retardations over the whole model. This is achieved by viewing in the reconstruction process the loaded model through a polarizer. Where the polarization direction is parallel to one of the principal stresses, only the corresponding family of absolute retardations is observed. As an example of application the absolute retardations and stresses in a deep beam centrally loaded are determined.

Review of RGB photoelasticity

Abstract Automatic methods of photoelasticity have had a significant progress with the development of automatic acquisition and image processing methods. This article concerns RGB photoelasticity, which allows the determination of the photoelastic retardation using, usually, a single acquisition of the isochromatic fringes in white light by a colour camera. In particular, the article presents an overview of the main characteristics of RGB photoelasticity that is influence of the quarter-wave plate error, number of acquisitions, type of light source, determination of low and high fringe orders, methods for searching the retardation, scanning procedures, calibration on a material different fr…

Stiffness and Reinforcement Effect of electrical Resistance Strain Gauges

:  The increasing use of low-modulus materials, on which the reinforcement effect of the electrical resistance strain gauge is not negligible, has re-opened the research interest into this issue. This study deals with the evaluation of stiffness, and of the strain gauge Young's modulus involved in the estimation of both the global and the local reinforcement effect; the relationship between the strain gauge stiffness and the local reinforcement effect is also analysed. In particular, the experimental technique used to determine the stiffness of some commercial strain gauges is described. The results show that the strain gauge stiffness alone does not permit an accurate evaluation of the loc…

ON THE REINFORCEMENT EFFECT OF STRAIN GAGES

50 ANNI DI MECCANICA SPERIMENTALE NELL’ATTIVITÀ DIDATTICA DELL’UNIVERSITÀ DI PALERMO

RGB Photoelasticity: Review and Improvements

:  This paper considers the main developments of RGB photoelasticity with reference to the maximum measurable retardation. In this paper, a new procedure based on the standard error function evaluated on a subset of the calibration array is also proposed and experimentally tested. The experiments show that the filament lamp makes it possible to find retardations until approximately 4 fringe orders while the fluorescent lamp makes it possible to determine higher fringe orders (12 fringe orders in this paper) owing to the discrete spectrum of the source. The paper shows that, by using the incandescent lamp, the primary limiting factor is the lack of modulation of the R, G and B signals wherea…

SVILUPPI DELLA FOTOELASTICITÀ RGB

Questa memoria considera le caratteristiche della fotoelasticità RGB con riferimento al massimo ordine di frangia rilevabile che dipende dalla modulazione del segnale, dalla sorgente luminosa, dalla presenza di colori simili e dal gradiente delle frange. Le esperienze mostrano che la lampada ad incandescenza consente di rilevare ritardi fino a circa 4 ordini di frangia mentre la lampada a fluorescenza consente di determinare ordini di frangia ben più elevati (12 in questa memoria) grazie alla natura discreta della sorgente.

La fotoelasticità digitale in luce bianca: parte I - le equazioni dei polariscopi

Review of Some Development of the Hole Drilling Method

This paper contains a survey of some developments of the hole drilling method. It is mainly based on the research work carried out at the University of Palermo in the years from 1978 to 1989. The paper considers the relationship between the relaxed strain and the residual stresses for a rosette with an off-centre hole, the influence of hole eccentricity on the determination of residual stresses and of rosette calibration constants, the sensitivity of strain relaxation.

Impact Force Identification and Location on Isotropic and Composite Panels.

Holographic photoelasticity: Influences of inaccuracies of optical retarders on isochromatics and isopachics

In this paper the influence of inaccuracies of the optical retarders on the isochromatic and isopachic fringes obtained by holographic photoelasticity is studied. For the single-exposure hologram it is shown that the isochromatic visibility decreases as for light- and dark-field configurations, whereas the isochromatic fringes are distorted only for the dark-field configuration. For the double-exposure hologram it is shown that the isopachic fringes are generally distorted; with the isochromatics there is a decrease of fringe visibility. Experimental results confirming the theory are reported.

A method for reducing the influence of quarter-wave plate errors in phase stepping photoelasticity

The phase stepping technique has recently been applied to the automated analysis of photoelastic fringes to determine the isoclinic parameter and the relative retardation. Generally, in these methods the error of quarter-wave plates, due to common manufacturing tolerances, influences the determination of the isoclinic parameter and the fringe order. In this paper a new phase stepping method in which the influence of quarter-wave plate error is null on the isoclinic parameter and negligible on the fringe order is proposed. The theoretical results have been confirmed by experimental tests.

EMBEDDED STRAIN GAUGES: EFFECT OF THE STRESS NORMAL TO THE GRID

:  In general, a strain gauge embedded in a model is subjected to a stress normal to the grid, whereas a gauge on the external surface is free from such a stress. This paper concerns the effect of the stress normal to the grid on the output of the strain gauge; usually, the influence of such a stress has a negligible effect, however, in some cases a notable influence has been noted. Therefore, the output of the strain gauge is determined in function of the strains in the plane of the gauge, ɛl and ɛt, and of the stress, σn, normal to the grid. The analysis shows that the output of the strain gauge is influenced by the coupled effect of transverse sensitivity and pressure sensitivity of the …

TORSIONAL STRESS CONCENTRATIONS IN SHAFTS: FROM ELECTRICAL ANALOGIES TO NUMERICAL METHODS

This paper presents the historical development of methods used for the study of torsional stresses in shafts. In particular the paper covers both analog methods, in particular those based on electrical analogies proposed since about 1925, and numerical methods, in particular finite difference methods (FDM), finite element methods (FEM) and boundary elements (BEM).

Determination of absolute retardations by vectorial reconstruction

In this paper is described the application of the vectorial reconstruction to the holographic determination of absolute retardation fringes. The method requires a double-exposure hologram recorded with two reference beams. During the reconstruction process the image emerging from the hologram is viewed through a linear polarizer. Where the polarization direction is parallel to one of the principal stresses, only the corresponding family of absolute retardations is observed. By rotating the polarizer it is possible to observe the fringes over the whole model. The method is demonstrated experimentally using a deep beam centrally loaded.

Measurement of edge residual stresses in glass by the phase-shifting method

Abstract Control and measurement of residual stress in glass is of great importance in the industrial field. Since glass is a birefringent material, the residual stress analysis is based mainly on the photoelastic method. This paper considers two methods of automated analysis of membrane residual stress in glass sheets, based on the phase-shifting concept in monochromatic light. In particular these methods are the automated versions of goniometric compensation methods of Tardy and Senarmont. The proposed methods can effectively replace manual methods of compensation (goniometric compensation of Tardy and Senarmont, Babinet and Babinet–Soleil compensators) provided by current standards on th…

RGB photoelasticity applied to the analysis of membrane residual stress in glass

The measurement of residual stresses is of great relevance in the glass industry. The analysis of residual stress in glass is usually made by photoelastic methods because glass is a photoelastic material. This paper considers the determination of membrane residual stresses in glass plates by automatic digital photoelasticity in white light (RGB photoelasticity). The proposed method is applied to the analysis of membrane residual stresses in some tempered glass. The proposed method can effectively replace manual methods based on the use of white light, which are currently provided by some technical standards.

Local Reinforcement Effect of a Strain Gauge Installation on Low Modulus Materials

The reinforcement effect of electrical resistance strain gauges is well documented in the technical literature. In this paper the local reinforcement effect in tension is studied by using a simple theoretical model by considering a strain gauge mounted on a semi-infinite plate having the same width of the strain gauge and subjected to a uniaxial tension load. Neglecting the effect of the adhesive layer and considering the interface shear stress as an exponential distribution, the proposed model gives a closed-form solution. In detail, this model permits a simple formula to be obtained which allows the user to correct the local reinforcement effect provided that a proper calibration is perfo…

Advances in Strain Gauge Measurement on Composite Materials

This article gives an overview on the application of strain gauge techniques to the analysis of the strains in composite materials. The orthotropic behaviour of the composite influences the performance of strain gauges that are calibrated for use on isotropic materials. The article considers therefore the typical topics of the strain gauge technology applied to composites with particular reference to the compensation of thermal output, the measurement of the coefficients of thermal expansion, the determination of the strain and stress state, the influence of the misalignment error, the reinforcement effect, the determination of the stress intensification factor, the analysis of residual str…

Advances in Strain Gauge Measurement on Composite Materials

Abstract:  This article gives an overview on the application of strain gauge techniques to the analysis of the strains in composite materials. The orthotropic behaviour of the composite influences the performance of strain gauges that are calibrated for use on isotropic materials. The article considers therefore the typical topics of the strain gauge technology applied to composites with particular reference to the compensation of thermal output, the measurement of the coefficients of thermal expansion, the determination of the strain and stress state, the influence of the misalignment error, the reinforcement effect, the determination of the stress intensification factor, the analysis of r…

Strain Measurement on Composites: Errors due to Rosette Misalignment

Electrical resistance strain gauges are increasingly used for the determination of the strain field in composite components. The effect of the angular misalignment of a strain gauge rosette on the determination of the strains in a composite material is investigated in this paper. The theoretical analysis shows that the strain error along the principal material directions depends on the difference of principal strains, on the angular misalignment of the rosette and on the angle between the maximum principal strain and the fibre direction. The paper also shows experimental evidence for the theoretical analysis.

SEPARATION OF PRINCIPAL STRESSES ALONG SECTIONS OF SYMMETRY BY MEANS OF ISOPACHIC PATTERNS

An approximate rapid method for the separation of principal stresses along sections of symmetry free from external loads is described. The method is based on the sum of principal stresses and checked by applying it to a circular ring under diametral compression and to a grooved bar in tension.

Determination of Nonuniform Residual Stresses Using the Ring-Core Method

This paper considers residual stress analysis using the ring-core method. In particular, the so-called integral equation method is applied to evaluate nonuniform residual stress fields. The proposed method overcomes typical drawbacks of the incremental strain method which lead to incorrect results for strongly varying stress fields. The experimental results obtained with a specimen subjected to a bending load confirm the theoretical predictions.

The influence of the quarter wave plates in automated photoelasticity

During the last decades, several methods have been proposed to automate photoelastic analyses. Some procedures are based on the circularly polarised light by using quarter wave plates. However, quarter wave plates are typically matched for a specific wavelength, and an error is introduced at different wavelengths. The error of quarter wave plates affects the measurement of isochromatic and isoclinic data. In this paper, the influence of the errors of quarter wave plates in some of the most common automated photoelastic methods is reviewed. The errors in the photoelastic data are given and the procedures to reduce, or eliminate, them are also suggested.

Photoelastic Analysis of Edge Residual Stresses in Glass by the Automated Tint Plate Method

The analysis of residual stress in glass is usually carried out by means of photoelastic methods. This article considers the automation of the white light photoelastic method based on the use of a full-wave plate placed behind the glass plate. In particular, the method in based on the use of RGB photoelasticity in white light in conjunction with a full wave plate. The proposed method have been applied to the analysis of membrane residual stresses in tempered glass, showing that it can effectively replace manual methods of photoelastic analysis of residual stresses in glass when a low photoelastic retardation is present.

Strain Measurement on Composites: Effects due to Strain Gauge Misalignment

The present work analyses the errors affecting the strains measured by misaligned strain gauges installed on orthotropic-composite laminae. Various analytical relationships are derived showing that, besides the fibre and strain gauge orientations, the misalignment error in unidirectional off-axis orthotropic composite samples depends also on the lamina stiffness properties (E(1), E(2), nu(12), G(12)). If the fibres are aligned with the loading axis, it is found that the higher Poisson's ratio nu(12) is the only elastic property influencing the misalignment error. Experimental results are shown confirming the theoretical predictions.

The Reinforcement Effect of Strain Gauges Embedded in Low Modulus Materials

The reinforcement effect of electrical resistance strain gauges is well-described in the literature, especially for strain gauges installed on surface. This paper considers the local reinforcement effect of strain gauges embedded within low Young modulus materials. In particular, by using a simple theoretical model, already used for strain gauges installed on the surface, it proposes a simple formula that allows the user to evaluate the local reinforcement effect of a generic strain gauge embedded on plastics, polymer composites, etc. The theoretical analysis has been integrated by numerical and experimental analyses, which confirmed the reliability of the proposed model.

Automated photoelasticity in white light: Influence of quarter-wave plates

This paper deals with the influence of optical retarders on the isochromatic fringes obtained by automated white light photoelasticity using methods such as those based on spectral content analysis (SCA) and on primary colour (red, green and blue) analysis. In the following the light intensity equations of dark- and light-field polariscopes with both crossed and parallel optical retarders are reviewed. In particular, it is shown that the retardance error of the quarter-wave plates produces an attenuation of the maximum intensity in dark field and an increase of minimum intensity in light field. Experimental evidence of the influence of optical retarders is also shown.

High-velocity Impact Location on Aircraft panels Using Macro-fiber Composite piezoelectric Rosettes

In this article, an approach based on an array of macro-fiber composite (MFC) transducers arranged as rosettes is proposed for high-velocity impact location on isotropic and composite aircraft panels. Each rosette, using the directivity behavior of three MFC sensors, provides the direction of an incoming wave generated by the impact source as a principal strain angle. A minimum of two rosettes is sufficient to determine the impact location by intersecting the wave directions. The piezoelectric rosette approach is easier to implement than the well-known time-of-flight-based triangulation of acoustic emissions because it does not require knowledge of the wave speed in the material. Hence, th…

Review of photoelastic image analysis applied to structural birefringent materials: glass and polymers

Photoelasticity is particularly suitable for the analysis of the stress state in structural materials that are transparent and birefringent. Some techniques of digital photoelasticity (phase shifting and RGB) are applied to the analysis of stress field in two classes of structural materials. The first one consists of tempered glasses, such as those used in the automotive and architectural fields. The second one consists of thermoset polymers, typically used as matrices in fiber reinforced plastic structural composites. The birefringence of such resins is, in particular, exploited to investigate the development of swelling stresses and changes in fracture toughness as induced by water uptake…

Photoelastic Analysis of Edge Residual Stresses in Glass by Automated “Test Fringes” Methods

Since the glass is a birefringent material, the analysis of residual stress in glass is usually carried out by means of photoelastic methods. This paper considers the automation of the “test fringes” method which is based on the use of a Babinet compensator or of a beam subjected to bending. In particular, two automated methods are proposed: the first one is based on the use of the centre fringe method in monochromatic light and the second one is based on the use of RGB photoelasticity in white light. The proposed methods have been applied to the analysis of membranal residual stresses in some tempered glasses, showing that they can effectively replace manual methods of photoelastic analysi…

ALGORITHMS FOR THE DETERMINATION OF RETARDATION IN RGB PHOTOELASTICITY

Limitation of fourier transform photoelasticity: Influence of isoclinics

The application of the Fourier transform to photoelasticity was used in the evaluation of the retardation using a carrier system of fringes. In photoelasticity, the light intensity from the analyzer in a circular polariscope depends on both the retardation (isochromatics) and the isoclinic parameter. The theoretical analysis shows that the angle between the principal stresses in the model and in the carrier system of fringes influences the evaluation of the retardation (isochromatics), as occurs when misaligned compensators (namely, Babinet) are used. As a consequence, this method may not be applied as a full-field technique, although the error is small if the angle between the principal st…

Measurement of residual stresses by the hole-drilling method: Influence of hole eccentricity

The hole-drilling method is a semidestructive technique which allows the measurement of residual stresses. In this method, a source of error is due to the misalignment between the hole and rosette centres. This paper presents a theoretical analysis of the influence of such misalignment on the strains measured by the rosette. Formulae which give the residual stresses taking account of the hole eccentricity are derived. Finally, the errors, which affect the residual stresses when the eccentricity is neglected, are evaluated for some commercial strain-gauge rosettes especially developed for the hole-drilling method.

Phase shifting photoelasticity in white light

The availability of image acquisition systems has led to the development of digital photoelasticity both in monochromatic and white light. In particular white light has been used mainly with the following methods: Spectral Content Analysis, RGB photoelasticity and phase shifting photoelasticity. Phase shifting photoelasticity in the colour domain has been used effectively for the determination of the isoclinic parameter in order to reduce the influence of the isochromatic fringes. The method has been also proposed for the determination of the isochromatic fringe order. This paper concerns the general characteristics of phase shifting photoelasticity in the colour domain. Special attention i…

A review of automated methods for the collection and analysis of photoelastic data

Photoelasticity is one of the most widely used full-field methods for experimental stress analysis. However, the collection of photoelastic parameters can be a long and tedious process. The advent of automated photoelastic systems has allowed the experimentalists to speed up the rate of analysis and to perform more complex investigations. This paper provides a survey of recent methods of automated photoelasticity developed in the last 20 years, i.e. methods of the fringe centres, half-fringe photoelasticity, phase-stepping photoelasticity, methods based on the Fourier transform, spectral content analysis (SCA) and RGB (red, green, blue) photoelasticity.

Analisi fotoelastica delle tensioni residue nel vetro

Limitation of carrier fringe methods in digital photoelasticity

The carrier fringes method has been proposed in digital photoelasticity in combination with techniques such as Fourier transform and phase shifting method, without considering the influence of the isoclinics on the isochromatic patterns analysis. Unlike other optical methods as moire and holographic interferometry, in photoelasticity the light intensity emerging from a circular polariscope is related to both the isochromatic retardation and the isoclinic parameter. As it is shown by the theoretical analysis, owing to the misalignment between the principal stresses in the model and in the carrier, the computed retardation is affected by an error which is the same for all photoelastic methods…

Determination of Torsional Stresses in Shafts: From Physical Analogies to Mathematical Models

This paper presents the historical development of methods used for the study of torsional stresses in shafts. In particular, the paper covers both analog methods, especially those based on electrical analogies proposed circa 1925, and numerical methods, especially finite difference methods (FDM), finite element methods (FEM) and boundary element methods (BEM).

The Reinforcement Effect of Strain Gauges Embedded in Low Modulus Material

The reinforcement effect of electrical resistance strain gauges is well-described in the literature, especially for strain gauges installed on surface. This paper considers the local reinforcement effect of strain gauges embedded within low Young modulus materials. In particular, by using a simple theoretical model, already used for strain gauges installed on the surface, it proposes a simple formula that allows the user to evaluate the local reinforcement effect of a generic strain gauge embedded on plastics, polymer composites, etc. The theoretical analysis has been integrated by numerical and experimental analyses, which confirmed the reliability of the proposed model.

IL METODO DI PROVA “AIAS - TR” PER LA MISURA DELLE TENSIONI RESIDUE COSTANTI O VARIABILI CON LA TECNICA DEL FORO INCREMENTALE

Viene presentata una sintesi dell’attività svolta dal Gruppo di lavoro AIAS “Tensioni Residue” nel periodo dal 2006 al 2009. Lo scopo dell’attività è stata l’elaborazione del metodo AIAS - TR 01 per la misura delle tensioni residue con il metodo del foro incrementale. La normativa tecnica esistente sull’argomento (ASTM E 837-08) [1] ha un campo di applicabilità ristretto; infatti essa non considera alcuni effetti che possono influenzare l’accuratezza della misura. Il metodo di prova (AIAS - TR 01) fornisce una visione d’insieme del metodo della rosetta forata, aggiornata all’attuale stato dell’arte (2009) sia a livello tecnologico che a livello teorico. Le principali innovazioni riguardano …

ANALISI DELLE TENSIONI RESIDUE NEL VETRO MEDIANTE LA FOTOELASTICITÀ CON FRANGE DI RIFERIMENTO

L’analisi delle tensioni residue nei vetri viene di solito effettuata con metodi fotoelastici dato che il vetro è un materiale birifrangente. Questa memoria considera l’automazione del cosiddetto "test fringes” metodo che si basa sull’impiego di un compensatore di Babinet o di un provino inflesso. In particolare si propongono due metodi automatici basati sull’impiego del metodo del centro frangia in luce monocromatica e sull’impiego della fotoelasticità RGB in luce bianca. I metodi proposti possono efficacemente sostituire i metodi manuali.

L’EFFETTO RINFORZANTE DEGLI ESTENSIMETRI INGLOBATI

L’effetto rinforzante degli estensimetri elettrici a resistenza è ben documentato nella letteratura tecnica soprattutto per ciò che riguarda gli estensimetri installati in superficie. Questa memoria riguarda l’effetto rinforzante locale degli estensimetri inglobati all’interno dei materiali. In particolare si estende agli estensimetri inglobati un semplice modello già utilizzato per gli estensimetri installati in superficie. Il modello - che si basa sulle seguenti ipotesi: influenza dell’adesivo trascurabile, modulo di Young dell’estensimetro costante, distribuzione esponenziale delle tensione tangenziali e spessore della struttura uguale a quello dell’estensimetro – conduce ad una semplice…

Developments in RGB photoelasticity

In this paper the combined use of both RGB and phase stepping photoelasticity is proposed. The method is characterised by the following features: maximum measurable order greater than that of the RGB method, ability to determine the total fringe order without necessity of unwrapping.

Stress separation in the photoelastic study of centrifugal stresses

This technical note refers to the problem of stress separation in the photoelastic analysis of plane models under centrifugal stresses. Two methods are described in order to determine the sum of principal stresses. These methods, which are based on the compatibility equation, reduce the determination of the sum of principal stresses to the solution of a Laplace's or Poisson's equations. As an example of application, the separation of stresses in a rotating disk with two eccentric holes is shown and comparison with the stresses obtained by using the shear-difference method is made.

Introduzione all'analisi sperimentale delle tensioni

Strain Measurement on Composites: Effects due to Strain Gauge Misalignment

:  The present work analyses the errors affecting the strains measured by misaligned strain gauges installed on orthotropic-composite laminae. Various analytical relationships are derived showing that, besides the fibre and strain gauge orientations, the misalignment error in unidirectional off-axis orthotropic composite samples depends also on the lamina stiffness properties (E1, E2, ν12, G12). If the fibres are aligned with the loading axis, it is found that the higher Poisson's ratio ν12 is the only elastic property influencing the misalignment error. Experimental results are shown confirming the theoretical predictions.

On the history of torsional stress concentrations in shafts: From electrical analogies to numerical methods

This article proposes a retrospective on experimental and numerical methods developed throughout the past century to solve the torsion problem in shafts, with particular emphasis on the determination of shear stress concentration factors in discontinuities of typical use in shaft design. This article, in particular, presents the theory and related solutions distinguishing between two classes of geometries: shafts with constant cross section and axisymmetric shafts with variable diameter. Emphasis is given to approaches based on physical analog methods and, in particular, those based on electrical analogies proposed since about 1925. Experimental methods based on structural physical models …

Metodo automatici per l'analisi fotoelastica delle tensioni residue nel vetro

Nei manufatti in vetro sono generalmente presenti tensioni residue provocate dalle lavorazioni. In tali componenti, il controllo delle tensioni residue riveste grande importanza; a tal fine si impiegano diversi metodi di analisi, codificati anche dalla normativa internazionale. Poiché il vetro è un materiale birifrangente, le tecniche sviluppate per l’analisi delle tensioni residue sono basate principalmente sul metodo fotoelastico. In questo lavoro vengono proposti due metodi automatici di analisi delle tensioni residue di tipo membranale nei vetri basati rispettivamente sulla fotoelasticità RGB, in luce bianca, e sul metodo a variazione di fase, in luce monocromatica. I suddetti metodi po…

A critical assessment of automatic photoelastic methods for the analysis of edge residual stresses in glass

The measurement of residual stresses is of great importance in the glass industry. The analysis of residual stresses in the glass is usually carried out by photoelastic methods since the glass is a photoelastic material. This article considers the determination of membrane residual stresses of glass plates by digital photoelasticity. In particular, it presents a critical assessment concerning the automated methods based on gray-field polariscope, spectral content analysis, phase shifting, RGB photoelasticity, “test fringes” methods and “tint plate” method. These methods can effectively automate manual methods currently specified in some standards.

ANALISI DELL’EFFETTO RINFORZANTE DEGLI ESTENSIMETRI INGLOBATI IN MATERIALI A BASSO MODULO

L’effetto rinforzante degli estensimetri elettrici a resistenza è ben documentato nella letteratura tecnica soprattutto per ciò che riguarda gli estensimetri installati in superficie. Questa memoria riguarda l’effetto rinforzante locale degli estensimetri inglobati all’interno dei materiali. In particolare si estende agli estensimetri inglobati un semplice modello già utilizzato per gli estensimetri installati in superficie. Il modello - che si basa sulle seguenti ipotesi: modulo di Young dell’estensimetro costante, distribuzione esponenziale delle tensione tangenziali all’interfaccia ER-struttura e larghezza della struttura uguale a quella dell’estensimetro – conduce ad una semplice formul…

La fotoelastIcità digitale in luce bianca: parte II - il metodo a variazione di fase

Estensimetri elettrici a resistenza

Local reinforcement effect of embedded strain gauges

The reinforcement effect of strain gauges installed on low Young's modulus materials has received attention by many researchers with respect to both strain gauges installed on the surface [1,2] and embedded inside the material [3,4]. In the case of strain gauges installed on the surface, the evaluation of the local reinforcement effect gives [5] the following correction coefficient C, i.e. the ratio between the actual strain (without the strain gauge) and the strain ' measured by the strain gauge: * ' 1 sg s E C E (1) being * sg g , sg sg sg sg sg sg t L L E E L t t (2) where Esg is the Young’s modulus of the strain gauge, * Esg is a characteristic of the strain gauge which gives the strain…

Holographic photoelasticity: Determination of absolute retardations by a single hologram

In this paper, real-time holographic interferometry is applied to determine the absolute-retardation fringes in the photoelastic analysis of plane models. The method requires only one hologram recorded with the model unloaded. In the reconstruction process, the mcdel is loaded and the polarizers on the reference and object beams are rotated through the same angle. At the points of the model where the polarization direction is parallel to one of the principal stresses, only the corresponding family of absolute retardations is obtained. The technique is demonstrated experimentally using a deep beam centrally loaded.

Lo sviluppo delle Scienze Meccaniche nell'Università di Palermo

MATERIALI COMPOSITI: EFFETTO DEL DISALLINEAMENTO DELL’ESTENSIMETRO SULLA MISURA DELLA DEFORMAZIONE

On the effect of quarter-wave-plate errors in stress-holo-interferometry

On the Stiffness and the Reinforcement Effect of Electrical Resistance Strain Gauges

The reinforcement effect of a strain gauge installed on low modulus materials can be significant. The increasing use of low modulus materials requires therefore the evaluation of such effect. This paper concerns the relationship between the local reinforcement effect and the strain gauge stiffness. The conclusion is that the gauge stiffness alone does not allow the user a thorough evaluation of the reinforcement effect.

L’ATTIVITÀ DI ANTHOS BRAY NELL’ANALISI DELLE SOLLECITAZIONI ED IN AMBITO AIAS