Practical Stereology

Russ, John C.; DeHoff, R. T.

doi:10.1007/978-1-4615-1233-2

Cited by 386 publications

(368 citation statements)

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“…Polarized light microscopy is an emerging method tested on titanium alloys to better detect the boundaries of the lamellae colonies (Chraponski and Szkliniarz 2001). Although different standards have been studied for characterising microstructures based on image analysis technology (Russ 2002;Russ and Dehoff 2005), the quantification of microstructure features in + titanium alloys is still very difficult because the microstructure is quite complex and involves structures at varying size scales. Moreover the information available from a two dimensional section of the microstructure image using optical microscopy is limited in terms of understanding three dimensional aspects.…”

Section: Quantitative Characterisation Of Microstructurementioning

confidence: 99%

A model for Ti–6Al–4V microstructure evolution for arbitrary temperature changes

Murgau

Pederson

Lindgren

2012

Modelling Simul. Mater. Sci. Eng.

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This thesis is devoted to microstructure modelling of Ti-6Al-4V. The microstructure and the mechanical properties of titanium alloys are highly dependent on the temperature history experienced by the material. The developed microstructure model accounts for thermal driving forces and is applicable for general temperature histories. It has been applied to study wire feed additive manufacturing processes that induce repetitive heating and cooling cycles. The microstructure model adopts internal state variables to represent the microstructure through microstructure constituents' fractions in finite element simulation. This makes it possible to apply the model efficiently for large computational models of general thermomechanical processes. The model is calibrated and validated versus literature data. It is applied to Gas Tungsten Arc Welding -also known as Tungsten Inert Gas welding-wire feed additive manufacturing process. Four quantities are calculated in the model: the volume fraction of phase, consisting of Widmanstätten , grain boundary , and martensite . The phase transformations during cooling are modelled based on diffusional theory described by a Johnson-Mehl-AvramiKolmogorov formulation, except for diffusionless martensite formation where the Koistinen-Marburger equation is used. A parabolic growth rate equation is used for the to transformation upon heating. An added variable, structure size indicator of Widmanstätten , has also been implemented and calibrated. It is written in a simple Arrhenius format. The microstructure model is applied to in finite element simulation of wire feed additive manufacturing. Finally, coupling with a physically based constitutive model enables a comprehensive and predictive model of the properties that evolve during processing.

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Section: Quantitative Characterisation Of Microstructurementioning

confidence: 99%

A model for Ti–6Al–4V microstructure evolution for arbitrary temperature changes

Murgau

Pederson

Lindgren

2012

Modelling Simul. Mater. Sci. Eng.

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“…The area fractions of closed and open cell faces, as well as those of the ligaments, were measured by the point counting method, where the point fraction, P P , is equal to the area fraction, A f , of the measured microstructural feature (Ref. 30). Measurements of P P were conducted by electronically overlaying a rectangular grid with 9 rows and 11 columns on each field of view ( Fig.…”

Section: Methodsmentioning

confidence: 99%

Effect of Microstructural Parameters on the Relative Densities of Metal Foams

Raj

Kerr

2011

Metall Mater Trans A

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“…The resulting mineral mappings typically serve as an input to the first principle of stereology to straightforwardly derive the volumetric ratios of minerals from planar ratios. The accuracy of volumic ratio estimations is dependent upon the number, but also critically upon the randomness of cross-sections through the specimen (Isotropic Uniform Random (IUR) sections - Russ and Dehoff, 2001), a topic which is rarely discussed and validated in the geological/mineralogical image analysis literature. When dealing with particulate ores, the randomness prerequisite appears easier to satisfy because of the large number of particles involved.…”

Section: Image Analysis Of Particulate Ore Materialsmentioning

confidence: 99%

Particle texture analysis using polarized light imaging and grey level intercepts

Pirard

Lebichot

Krier

2007

International Journal of Mineral Processing

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The usual characterization of particulate ore material with image analysis includes modal analysis and liberation analysis. Both methods include stereological corrections based on intercept length distributions within each phase of interest. The first principle of stereology relies on a simple assumption of uniform random sectioning, whereas the liberation models require all particles to have similar textural properties. However, for the sake of adequate prediction of ore behavior in industrial processes it is becoming more and more important to be able to describe particle populations in terms of texture classes.Among the texture analysis techniques, this paper focuses on mean intercept length (MIL). It brings two important improvements: the first one is to improve grain boundary imaging by using images of bireflectant minerals under plane polarized illumination, the second one is to consider intercept analysis on grey level images instead of binary ones. The method is illustrated on a selection of critical hematite textures found within banded iron formations.

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Practical Stereology

Abstract: Practical stereology/John C. RlIss and Robert T. Dehoff.-2nd ed.p. cm. Includes bibliographical references and index.

Cited by 386 publications

References 0 publications

A model for Ti–6Al–4V microstructure evolution for arbitrary temperature changes

A model for Ti–6Al–4V microstructure evolution for arbitrary temperature changes

Effect of Microstructural Parameters on the Relative Densities of Metal Foams

Particle texture analysis using polarized light imaging and grey level intercepts

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