Laser Ultrasonics Sensing of Metallurgical Processes

Contributors: Thomas Garcin

Centre for Metallurgical Process Engineering, The University of British Columbia, 309-6350 Stores Rd., Vancouver, BC, Canada V6T 1Z4

Contact: thomas.garcin@ubc.ca

Last modified: August 4th 2016

 

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Abstract

The document summarises important applications of laser ultrasonics dedicated to the real time sensing of metallurgical processes at high temperature. Emphasis is brought to the assessment of the range of process parameters where the technology LUMet is applicable. For some of the applications, a summary of feasibility is provided in this documents, for some other, the interested user must refer to literature available upon request.

Contents

Abstract 1

Introduction. 2

Measured quantities 2

Process variables 3

Sample thickness 4

Grain size. 4

Temperature. 6

Materials 6

Applications 7

Evaluation of austenite grain size in metal 7

Monitoring of phase transformation in steel 8

Monitoring of ferrite recrystallization in steel 9

Monitoring of Austenite recrystallization in steel 10

Monitoring of recovery process in steel 10

Evaluation of grain size in other metals 11

Monitoring of recrystallization in Aluminum alloys 11

Evaluation of residual stresses in Aluminum alloys 11

Monitoring of phase transformation in Titanium.. 12

Ageing study in beta stabilized Titanium alloys 12

Evaluation of texture in hexagonal material 12

Monitoring of sintering process 13

Evaluation of plastic strain ratio in metals 13

Elastic Moduli measurements in other compounds 13

References: 13

 

Introduction

Metals and there elaboration process are constantly improved to meet the desired properties for novel technology in aeronautic, civil engineering, automotive and biomedical industries. These efforts aim to find an optimum balance between weight, strength, ductility, fracture toughness, weldability and reactivity to the environment. New investigations are therefore routinely conducted in universities, research institutes as well as in the industries using numerous characterization techniques. For more than two decades, laser ultrasonics has grown and now finds a place alongside other in-situ methods to provide quantitative information on microstructure evolution during industrial processing routes.

The technology laser ultrasonics was developed in the bases of generating and detecting ultrasound remotely [1]. Among others, two important benefits of using lasers to generate and detect ultrasound are i) the measurement on parts with complex shapes and ii) the investigations at elevated temperature during processes. The focus is brought here only to the later. Numerous scientific papers, patents as well as “proof of concepts” have demonstrated the potential of such technology for the in-situ microstructure control during thermo-mechanical processes of metals. This report summarises the metallurgical applications for which laser ultrasonics is well adapted to measurements in real time and identify areas where, on the other hand, it has some limitations.

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Measured quantities

Ultrasound properties in a polycrystalline sample, i.e. velocity and attenuation, are function of the material properties. For an ultrasound pulse propagating in a polycrystalline material, the ultrasound velocity is directly related to the temperature, elastic constants and sample texture. It can be used to evaluate phase transformation, recrystallization and other phenomena affecting the density and bulk elastic constant of the sample. The attenuation has three sources that are the diffraction (associated to the sample geometry), scattering (caused by elastic mismatch between grains) and internal friction or absorption (generated by numerous mechanisms such as dislocations movement, magnetic domains, interface migration, solute diffusion, etc …).

The principle to measure velocity and attenuation consists on generating a broadband ultrasound pulse in the sample and detecting several echoes after propagation through the microstructure. The time require for the pulse to travel in a given section of the sample is the delay and the amplitude variation between two different echoes is the amplitude decay. It is in addition necessary to estimate the propagation distance between the two echoes which is related to the sample dimension (known a priori). Phase fraction, mean grain size, recrystallized fraction and other metallurgical properties such as elastic constants, plastic strain ratio, and texture component can then be estimated in a certain range of process parameters.

It is not intended to go further into the description of the principle of the technology but rather to focus on the factors that allow and limit its applicability to industrial process control in metallurgy. Number of references can be found in literature where extensive details are provided with example of applications to various materials.

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Process variables

The range of applicability and methodologies are defined based on numerous studies that have been conducted in various materials for the last 30 years. The following table contains a non-exhaustive list of important process variables allowing measurements with this technology. There are correlations between the different process variables which directly affects the range of applicability indicated in each section.

For sake of clarity, the comments listed below are based on the typical capabilities of the Laser Ultrasonic for Metallurgy (LUMet) sensor (TECNAR Ltee) attached to the Gleeble 3500 thermomechanical simulator (Dynamic System Inc. Poestenkill, NY). In this sensor, a frequency-doubled Q-switched Nd:YAG laser with a wavelength of 532 nm is used for the generation of a wide band compressive ultrasound pulse. The duration of the laser pulse is approximately 6 ns, it has a maximum energy of 72 mJ and up to 50 pulses can be generated per second. The laser pulse produces a broadband ultrasound pulse by vaporizing a small quantity of material at the surface (of the order of a micrometer per hundred laser pulses). Successive arrivals of the ultrasound pulse at the generation surface are detected with a frequency-stabilized Nd:YAG pulsed laser which illuminates the surface 50 times per second, with an infrared radiation at a wave length of 1064 μm and a pulse duration of 90 μs. The infrared detection laser light reflected on the specimen surface is demodulated inside a photo-refractive crystal using an active interferometer approach. The ultrasound properties measured in this technique are representative of the average properties of the material over a volume created by the surface of the laser spot (about 2 mm) multiplied by the sample diameter.

 

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Sample geometry:

 

Flat sheet with thickness between 1 to 15 mm

 

Cylindrical sample with diameter of 10 to 12 mm and with ratio between length and diameter between 1.5 and 1.

 

Round tube

 

Square bar

 

Hexagonal bar

 

 

·   The thickness range provided here usually allows for the measurement of at least one back wall echo which is required for both attenuation and velocity measurement.

·   The measurements on thick samples are more challenging due to the decrease on the signal to noise ratio at elevated temperature and in sample with large grain size.

·   The two others dimensions of the sample (width and length) must be large compare to the thickness. At least 2 to 3 times the thickness is recommended to avoid reflection of the pulse on other surface. (For instance, measurement in the plan RD,ND or TD,ND of a thin plate are usually not possible)

·   The surface roughness as well as oxide layer also play a role. Measurements are becoming more challenging in surface with roughness larger than 50 to 100 μm. The effect of various type of oxide layers remains to be fully investigated. It is known to depend strongly on the bonding of the layer, i.e. a homogeneous oxide layer well bonded to the sample surface is less dramatic than a flaky oxide layer with poor adhesion developing in the course of a treatments.

·   Measurement on thin specimen can be problematic as a smaller number of grains are sampled through thickness during the measurement creating additional uncertainty in the measured data.

·   The signals measured on thin sample (1mm and less) contain a large amplitude low frequency wave which can be considered almost as a steady wave. It is developing when the ultrasound wavelength is roughly the size of the sample thickness. This wave must be filtered out reducing the effective bandwidth available for the analysis of material parameter.

·   Measurement on cylinder are possible as long as the alignment between the sample and the D-laser is sufficiently good to collect some signal. Faceting both side of the cylinder enhanced the signal to noise and reduces the number of echoes originated from reflection on round surface.

From 5 to 200 μm

·   Grain size measurements can be conducted in materials which are sufficiently highly anisotropic to cause measurable scattering.

·   The measurement of grain size was currently validated in the following materials: Austenite in low alloyed steels, Cobalt and nickel superalloys. Grain size measurement in aluminum, magnesium, are difficult due to the small scattering in these materials. Measurements of grain size in phase with magnetic properties like ferrite in steel has not been validated yet.

·   Grain size lower than a couple of micrometers usually cause very weak scattering even in highly anisotropic materials making measurement challenging.

·   According to the established methodology for grain size measurement, the smallest grain size that can be measured is usually dictated by the mean grain size in the reference sample used for the signal processing. 

·   The mean grain size estimated from ultrasound attenuation corresponds to the average grain size through the sample thickness. For instance, the measurement conducted in a partially recrystallized sample corresponds to the mean grain size considering both the family of recrystallized grains and the recovered grains.

·   The calibration or analytical approach are usually constructing using homogeneous grain size distribution, i.e. maximum grain size is 2 to 3 time larger than the mean value. Large deviations from this criteria will lead to deviation from metallographic data.

·   Calibrations as well as analytical model are usually constructed for materials with equiaxed or spherical grains. Strong variation in grain morphology need to be integrated in the methodology to avoid deviation from metallographic data. It was observed that the attenuation becomes lower [1] (thus predicted grain size is lowered) when the ultrasound pulse propagate in the long axis of the grain.

·   When the grain size becomes large, the number of grain through thickness can decreases dramatically, leading to dispersion in the measurements, i.e. smaller number of grain sampled through thickness leads to bad statistics. As a rule of thumb, a good enough statistic is obtained when the ratio of the sample thickness to the grain diameter is larger than 50. 

·   For large grain size (> 200 um) or wide grain size distribution, conventional established methodology using single scattering approaches are no longer reliable and must be improved.

From room temperature to 1300 C

·   Temperature play a role in the development of factors that can affect the quality of the measured ultrasound waveform. High temperature can leads to the formation of an oxide layer which won’t usually stick to the surface very well and cause challenges in the generation as well as detection of the ultrasound. The surface damage caused by the ablation during generation is also a function of the temperature (This can be problematic in application where the same position on the sample is used for a large number of measurement, i.e. to follow continuously a process for instance) It is usually recommended not to conduct more than 600 pulses at the same position.

·   Temperature also affect the difference between the properties of different phases and therefore the ability to measure a process. The difference between the bulk elastic constant of the parent and product phase can in some material be measurable only in a given temperature range.

 

·   The ability to measure a certain metallurgical process varies from metals to metals. As an analogy, the volume change between parent and product phase has to be sufficiently different to measure the phase transformation by dilatometry. In the same way, the difference between the bulk elastic properties of the parent and product phase should be sufficiently different to be measured by laser ultrasound.

·   The difference between elastic constants of two phases varies with temperature. For instance, almost no difference exists between the ferrite and austenite phase in steel around 900°C where the austenite formation occurs making this process rather complicated to monitor in-situ by use of velocity. However, the difference between the bulk elastic constant of ferrite and austenite is quite large below 700°C, temperature at which the austenite decomposition occurs during cooling. This phase transformation is therefore totally measurable in a certain temperature range only.

·   In the same idea, the monitoring of recrystallization with laser ultrasonics rely on the variation of the bulk elastic constant during recrystallization. This elastic constant varies due to the texture change associated with recrystallization. Depending on the intensity of the texture variation during a particular process or a given material initial state, the change in elastic constant can be large enough or contrary to weak for it to be measurable by velocity measurements.

Applications

A number of applications have proved to be reliable and are detailed in the table below.

·         Range of measurements:

o   Mean grain size range from 5μm to 200 μm,

o   Temperature range from 900°C to 1300°C

o   Grain aspect ratio (long axis divided by short axis) range from 1 to 0.7

o   Grain size distribution (Maximum grain size divided by mean grain size) range from 1 to 3

o   Minimum number of grain through thickness must be larger than 50

o   Calibration already available for the aforementioned range of parameter [2].

o   Measurement can be conducted during isothermal holding and continuous heating

·         Steel compositions:

o   Low carbon and low alloy steel (HSLA, TRIP, DP, CP)

o   Not yet validated for austenitic stainless steel

o   Difficult in Interstitial Free steel

·         Note:

o   The measurement require a reference sample with the same geometry than that of the measured sample and fine grain size (< 5 μm)

o   Measurement on thick samples affects the measurable maximum grain size

o   Measurement at very high temperature affect the measurable maximum grain size

o   Measurement on thin sheet cause statistical problem due to limited number of grains through thickness

o   Sample thickness must be known with a precision of about 0.1 mm

o   Temperature must be known with a precision of about 10 °C

o   Error estimated to be 10 to 15 % of the absolute mean grain size

·         References: [3]–[10]

 

 

·         Range of measurements:

o   Austenite decomposition when occurring below 750°C

o   Austenite formation when associated with texture change, i.e. when starting from a cold rolled state for instance.

o   Measurement can be conducted during isothermal holding and continuous heating

o   Can be conducted during cooling rate up to 150°C/s

o   Measurement is not affected by gas blowing on the sample

o   Cannot be conducted during water quenching

·         Steel compositions:

o   Low, medium and high carbon steel

·         Note:

o   The measurement of the fraction transformed require the continuous evaluation of velocity from the fully austenite region to the lower temperature range

o   For a single shot measurement of the fraction transformed, a calibration is necessary and the accurate knowledge of the sample temperature is required

o   As with dilatometry, the measurements does not provide the fraction of individual phase such as ferrite, bainite and martensite.

o   Evaluation of phase transformation above the Curie temperature (about 750°C) are challenging due to the fact that the velocity of the parent and product phase are similar

o   When using a calibration, sample thickness must be known with a precision of about 0.1 mm

o   When using a calibration, temperature must be known with a precision of about 10 °C

·         Reference [11], [12], [13]

·         Range of measurements:

o   In the ferrite temperature range

o   Measurement can be conducted during isothermal holding and continuous heating

·         Steel compositions:

o   Low, medium and high carbon steel

o   Ferritic stainless steel

o   Other iron based alloys with a ferritic structure

·         Note:

o   The measurement of the recrystallized fraction require the continuous evaluation of velocity from the fully deformed state to the fully recrystallized state

o   For a single shot measurement of the recrystallized fraction, a calibration is necessary and the accurate knowledge of the sample temperature is required

o   The measurement sensitivity depends on the intensity of texture change during the recrystallization process, i.e. the larger the texture evolution the better the sensitivity.

o   When using a calibration, sample thickness must be known with a precision of about 0.1 mm

o   When using a calibration, Temperature must be known with a precision of about 10 °C

·         Reference  [14],[15][3]

·         Range of measurements:

o   Typically conducted in Gleeble during holding at high temperature after uniaxial compression testing

o   Challenging for large grain austenite grain (>150 μm) with thick sample to conserve acceptable signal to noise ratio

·         Sample geometry:

o   Cylindrical sample with diameter of 10 to 12 mm and with ratio between length and diameter between 1.5 and 1.

o   Can be adapted to measurement on plate

·         Steel compositions:

o   Low, medium and high carbon steel

·         Note:

o   The measurement of the recrystallized fraction require the continuous evaluation of attenuation and velocity from the fully deformed state to the fully recrystallized state

o   For a single shot measurement of the recrystallized fraction, a calibration is necessary and the accurate knowledge of the sample temperature is required

o   The measurement sensitivity depends on the intensity of texture change during the recrystallization process, i.e. the larger the texture evolution the better the sensitivity.

o   When using a calibration, sample thickness must be known with a precision of about 0.1 mm

o   When using a calibration, temperature must be known with a precision of about 10 °C

 

·         Reference [16]

·         Few studies shows a variation of velocity during recovery which was associated to the variation in dislocation damping.

·         The attenuation is both a function of the grain scattering and evolution in dislocation density.

·         Model are needed to estimate qualitatively the change in dislocation density

·         Limited study where conducted overall

·         Measurement are challenging and usually require simultaneous stress relaxation measurement.

·         The user must refer to available literature

·         Reference [17],[18], [19]

·         Range of measurements:

o   Mean grain size range from 5 μm to 200 μm,

o   Temperature range from room temperature 1300°C

o   Grain aspect ratio (long axis divided by short axis) range from 1 to 0.7

o   Grain size distribution (Maximum grain size divided by mean grain size) range from 1 to 3

o   Minimum number of grain through thickness must be larger than 50

·         Materials:

o   Any metal with anisotropy factor larger than 2.5

o   Validated for Cobalt based super alloys

o   Validated for Nickel based super alloys

·         Note:

o   The measurement require a reference sample with the same geometry than that of the measured sample.

o   Measurement on thick samples affects the measurable maximum grain size

o   Measurement at very high temperature affect the measurable maximum grain size

o   Measurement on thin sheet cause statistical problem due to limited number of grains through thickness

o   Sample thickness must be known with a precision of about 0.1 mm

o   Temperature must be known with a precision of about 10 °C

o   Error estimated to be 10 to 15 % of the absolute mean grain size

·         References: [20],[21]

 

The user must refer to available literature to evaluate the feasibility

Reference

[22], [23], [24], [25] [26]

The user must refer to available literature to evaluate the feasibility

Reference

[27]

·         Range of measurements:

o   Measurement can be conducted during isothermal holding and continuous heating

o   Can be conducted during cooling rate up to 150°C/s

o   Measurement is not affected by gas blowing on the sample

o   Cannot be conducted during water quenching

·         compositions:

o   Pure Titanium and Titanium alloys

·         Note:

o   The measurement of the fraction transformed require the continuous evaluation of velocity during beta to alpha or alpha to beta transition

o   For a single shot measurement of the fraction transformed, a calibration is necessary and the accurate knowledge of the sample temperature is required

o   Extensive grain growth in the beta phase can lead to lack or repeatability in the measurement.

o   When using a calibration, sample thickness must be known with a precision of about 0.1 mm

o   When using a calibration, temperature must be known with a precision of about 10 °C

Reference

[28]

·         Range of measurements:

o   Measurement can be conducted during isothermal holding

·         Steel compositions:

o   Beta stabilized Titanium alloys

·         Note:

o   The measurement of the fraction transformed may require preliminary calibration

o   When using a calibration, sample thickness must be known with a precision of about 0.1 mm

o   When using a calibration, temperature must be known with a precision of about 10 °C

o    

Reference [29]

 

The user must refer to available literature to evaluate the feasibility

Reference

[30], [31],

The laser ultrasonic technology can be used to monitor sintering processes. [32] [34]

The rational is relatively simple. In a two phase materials, the elastic properties as well as the density of the compound are a function of the property of the individual phases weighted by the volume fraction of each phase. In compacted metallic powder, the two phases are the void and the powder which have obviously very different elastic property and density. The simple manner to quantify sintering process therefore is to follow the variation of the ultrasonics velocity during the process. As the fraction of void decreases, the velocity v = sqrt(Elastic modulus/density) will increase.

Attenuation is more complicated to explain but likely provide also a way to estimate the stage of sintering as void will act as strong scattering centre and disperse the wave energy. The paper from Liu is more fundamental and explains this concept of attenuation measurement applied to the sintering processes. [33]

 

The user must refer to available literature to evaluate the feasibility

Reference

[35]

The user must refer to available literature to evaluate the feasibility

Reference

[36]

 

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References:

[1]    J. P. Monchalin, “Laser-Ultrasonics: From the Laboratory to Industry,” Rev. Quant. Nondestruct. Eval., vol. 23, pp. 3–31, 2004.

 

[2]    Kruger, S.E., US7353709, 2008.pdf.” .

 

[3]    E.-L. Ulmgren, M. Ericsson, D. Artymowicz, and B. Hutchinson, “Laser-Ultrasonics as a Technique to Study Recrystallisation and Grain Growth,” Mater. Sci. Forum, vol. 467–470, no. Recrystallization and Grain Growth, pp. 1353–1362, 2004.

 

[4]    M. Dubois, M. Militzer, A. Moreau, and J. F. Bussière, “A new technique for the quantitative real-time monitoring of austenite grain growth in steel,” Scr. Mater., vol. 42, no. 9, pp. 867–874, 2000.

 

[5]    A. Smith, S. E. Kruger, J. Sietsma, and S. Van Der Swaag, “Laser-ultrasonic Monitoring of Austenite Recrystallization in C–Mn Steel,” ISIJ Int., vol. 46, no. 8, pp. 1223–1232, 2006.

 

[6]    M. Militzer, T. Garcin, M. Kulakov, and W. J. POOLE, “Laser ultrasonics for in-situ monitoring of microstructure evolution in steels,” in The fifth Baosteel Biennial Academic Conference, 2013, p. in Press.

 

[7]    W. J. Poole, M. Militzer, and T. Garcin, “An Integrated Model to Predict Microstructure and Mechanical Properties in the Heat Affected Zone for X80 Linepipe,” in Volume 3: Materials and Joining, 2012, p. 301.

 

[8]    T. Garcin, M. Militzer, W. J. Poole, and L. Collins, “Microstructure model for the heat-affected zone of X80 linepipe steel,” Mater. Sci. Technol., vol. 32, no. 7, pp. 708–721, May 2016.

 

[9]    S. KRUGER, G. LAMOUCHE, J.-P. MONCHALIN, R. KOLARK, G. JESKEY, and M. CHOQUEL, “On-line monitoring of wall thickness and austenite grain size on a seamless tubing production line at the timken Co,” Iron steel Technol., vol. 2, no. 10, pp. 25–31.

 

[10]   S. Sarkar, M. Militzer, W. J. Poole, and A. Moreau, “Austenite Grain Size Measurements by Laser- Ultrasonics on Modern Low Carbon Steel,” Int. Symp. Adv. Steels, vol. J.A. Szpun, pp. 119–130, 2006.

 

[11]   M. Dubois, A. Moreau, M. Militzer, and J. F. Bussière, “Laser-ultrasonic monitoring of phase transformations in steels,” Scr. Mater., vol. 39, no. 6, pp. 735–741, 1998.

 

[12]   M. Dubois, A. Moreau, and J. F. Bussiere, “Ultrasonic velocity measurements during phase transformations in steels using laser ultrasonics,” J. Appl. Phys., vol. 89, no. 11, pp. 6487–6495, 2001.

 

[13]   S. E. Kruger and E. B. Damm, “Monitoring austenite decomposition by ultrasonic velocity,” Mater. Sci. Eng. A, vol. 425, no. 1–2, pp. 238–243, 2006.

 

[14]   G. Lamouche, S. E. Kruger, L. Gille, N. Giguère, S. Bolognini, and A. Moreau, “Laser-Ultrasonic Characterization of the Annealing Process of Low-Carbon Steel,” in AIP Conference Proceedings, 2003, vol. 657, no. 1, pp. 1681–1688.

 

[15]   M. Militzer, T. Garcin, and W. J. Poole, “In-Situ Measurements of Grain Growth and Recrystallization by Laser Ultrasonics,” Mater. Sci. Forum, vol. 753, pp. 25–30, Mar. 2013.

 

[16]   S. Sarkar, A. Moreau, M. Militzer, and W. J. Poole, “Evolution of Austenite Recrystallization and Grain Growth Using Laser Ultrasonics,” Metall. Mater. Trans. A, vol. 39, no. 4, pp. 897–907, 2008.

 

[17]   A. Smith, S. E. Kruger, J. Sietsma, and S. van der Zwaag, “Laser-ultrasonic monitoring of ferrite recovery in ultra low carbon steel,” Mater. Sci. Eng. A, vol. 458, no. 1–2, pp. 391–401, 2007.

 

[18]   S. Bolognini and A. Moreau, “Ultrasonic absorption in ultra-low carbon steel,” J. Appl. Phys., vol. 94, no. 6, pp. 3771–3780, 2003.

 

[19]   A. Moreau, M. Lord, D. Lévesque, M. Dubois, and J. F. Bussière, “Laser-ultrasonic absorption measurements in low carbon steels,” J. Alloys Compd., vol. 310, no. 1–2, pp. 427–431, 2000.

 

[20]   T. Garcin, J. H. Schmitt, and M. Militzer, “In-situ laser ultrasonic grain size measurement in superalloy INCONEL 718,” J. Alloys Compd., vol. 670, pp. 329–336, 2016.

 

[21]   S. E. Kruger, S. Bolognini, G. Lamouche, and A. Moreau, “Monitoring microstructure evolution of nickel at high temperature,” in Quantitative Nondestructive Evaluation, AIP Conference Proceedings, Vol. 615, 2002, vol. 615, pp. 1518–1525.

 

[22]   T. Robinson and J. Yankeelov, “Textures in Strip-Cast Aluminum Alloys: Their On-Line Monitoring and Quantitative Effects on Formability,” 2003.

 

[23]   S. E. Kruger, A. Moreau, M. Militzer, and T. Biggs, “In-Situ, Laser-Ultrasonic Monitoring of the Recrystallization of Aluminum Alloys,” Mater. Sci. Forum, vol. vol. 426 -, no. THERMEC'2003, pp. pp. 483–488, 2003.

 

[24]   S. E. Kruger, A. Moreau, M. Militzer, and T. Biggs, “Monitoring the annealing of an Al-Mg alloy by laser-ultrasonics.” 2002.

 

[25]   A. Moreau, C. Bescond, S. Bolognini, M. Lord, S. E. Kruger, and C. S. Man, “Inline measurements of texture and recrystallization on aluminum alloys,” Autom. Control. Adv. OnLine Metall. Model., vol. Materials, pp. 3–10, 2005.

 

[26]   A. Moreau, “Laser-Ultrasonic Characterization of the Microstructure of Aluminium,” Mater. Sci. Forum, vol. 519–521, pp. 1373–1378, 2006.

 

[27]   A. Moreau and C. Man, “Laser-Ultrasonic Measurements of Residual Stresses on Aluminum 7075 Surface-Treated by Low Plasticity Burnishing,” pp. 97–108, 2005.

 

[28]   A. Shinbine, T. Garcin, and C. Sinclair, “In-situ laser ultrasonic measurement of the hcp to bcc transformation in commercially pure titanium,” Mater. Charact., vol. 117, pp. 57–64, 2016.

 

[29]   A. Shinbine, “In-situ evaluation of the hcp to bcc phase transformation kinetics in commercially pure titanium and Ti-5Al-5Mo-5V-3Cr alloy using laser ultrasonics,” The University of British Columbia, 2016.

 

[30]   P. J. Kielczynski, A. Moreau, and J. F. Bussiere, “Determination of texture coefficients in hexagonal polycrystalline aggregates with orthorhombic symmetry using ultrasounds,” J. Acoust.. Soc. Am., vol. 95, no. 2, pp. 813–827, 1994.

 

[31]   A. Moreau, P. J. Kielczynski, J. F. Buissiere, and J. H. Root, “Ultrasonic characterization of texture in pure and alloyed Zirconium,” in Nondestructive Characterization of Materials VI, vol. VI, R.E.Green, Ed. Plenum Press, New York, 1994, pp. 119–118.

 

[32]   A. L. Dawson and J. F. Bussière, “Ultrasonic Characterization of Iron Powder Metallurgy Compacts during and after Compaction,” Adv. Perform. Mater., vol. 5, no. 1, pp. 97–115, 1998.

 

[33]   D. Liu and J. a Turner, “Influence of spatial correlation function on attenuation of ultrasonic waves in two-phase materials.,” J. Acoust. Soc. Am., vol. 123, no. 5, pp. 2570–6, May 2008.

 

[34]   M. Dubois, A. Moreau, A. Dawson, M. Militzer, and J. F. Bussiere, “Laser Ultrasonic Measurement of Microstructure evolution during metals processing,” RTO AVT Work. "Intelligent Process. High Perform. Mater., vol. 9, 1998.

 

[35]   a Moreau, D. Lévesque, M. Lord, M. Dubois, J.-P. Monchalin, C. Padioleau, and J. F. Bussière, “On-line measurement of texture, thickness and plastic strain ratio using laser-ultrasound resonance spectroscopy.,” Ultrasonics, vol. 40, no. 10, pp. 1047–56, Dec. 2002.

 

[36]   C. H. Gür and B. O. Tuncer, “Characterization of microstructural phases of steels by sound velocity measurement,” Mater. Charact., vol. 55, no. 2, pp. 160–166, 2005.