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volume fraction
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Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003248
EISBN: 978-1-62708-199-3
... particles or grains by a line of known length. grain size grain structure inclusion content microstructural parameters volume fraction QUANTIFYING MICROSTRUCTURAL PARAMETERS has received considerable attention in recent years and success in developing procedures and using such data to develop...
Abstract
Quantifying microstructural parameters has received considerable attention and success in developing procedures and using such data to develop structure/property relationships has been achieved. This article reviews many of the simple stereological counting measurements of volume fraction, grain structure (two-phase grain structures, and nonequiaxed grain structures), grain size, and inclusion content. It also reviews simple relationships between number of grains per unit area, number of intersections of a line of known length with particle or grain, and number of interceptions of particles or grains by a line of known length.
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006682
EISBN: 978-1-62708-213-6
... test area P V mm −3 Number of points per unit test volume L mm Length of lineal elements, or test line length L L mm/mm Lineal fraction. Length of lineal intercepts per unit length of test line L A mm/mm 2 Length of lineal elements per unit test area L V...
Abstract
This article reviews many commonly used stereological counting measurements and the relationships based on these parameters. The discussion covers the processes involved in sampling and specimen preparation. Quantitative microstructural measurements are described including volume fraction, number per unit area, intersections and intercepts per unit length, grain size, and inclusion content.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005301
EISBN: 978-1-62708-187-0
... Abstract This article focuses on aspects important for the commercial production of castings. It discusses the modification process in hypoeutectic and eutectic alloys that differ only in the relative volume fraction of primary aluminum and aluminum-silicon eutectic. The article explains how...
Abstract
This article focuses on aspects important for the commercial production of castings. It discusses the modification process in hypoeutectic and eutectic alloys that differ only in the relative volume fraction of primary aluminum and aluminum-silicon eutectic. The article explains how modification changes porosity formation in a casting. It describes the mechanisms responsible for silicon modification, as well as the modifications and changes in eutectic nucleation and eutectic grain structure. The article reviews the usage of strontium during process steps in foundry practices. The growth of silicon eutectic is described to explain effects ancillary to silicon modification. The article also discusses the effects of elements, such as phosphorus, antimony, bismuth, magnesium, boron, and calcium, on the silicon structure.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005225
EISBN: 978-1-62708-187-0
... process that always produces a wide range of droplet diameters. The article schematically illustrates typical log-normal droplet diameter probability density distribution on a mass or volume basis obtained by gas atomization. It also illustrates the changes in solid fraction during the spray casting...
Abstract
Spray casting, also known as spray forming, is a niche casting process for the manufacture of preforms. This article lists commercial examples of alloys manufactured by spray casting and provides sequential steps of the spray casting process. Gas atomization is a chaotic, stochastic process that always produces a wide range of droplet diameters. The article schematically illustrates typical log-normal droplet diameter probability density distribution on a mass or volume basis obtained by gas atomization. It also illustrates the changes in solid fraction during the spray casting process as a function of axial distance from the point of droplet atomization. The article concludes with a section on occurrence of macrosegregation and coarsening in spray cast preforms.
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005936
EISBN: 978-1-62708-166-5
... phase fractions by using atomic lattice data ( Ref 24 , 25 , 26 , 27 , 28 ). The approaches discussed in literature are not presented at this point; the focus here is on the data available to derive the volume changes caused by phase transformations to allow a more general approach. In Ref 25 , 26...
Abstract
In the case of steels, heat treatment plays a fundamental role because no other process step can manipulate the microstructure in order to fulfill such a wide variety of possible in-service conditions. This article addresses heat treatment with regard to hardening and subsequent tempering of steel components in order to optimize tribological properties. It focuses on the heat treatment of tempering and bearing steels and on volume changes that take place due to phase transformations. Plastic deformations that occur due to shrinking and phase transformation are also discussed. The article also describes the generation of thermal, transformation, and hardening residual stresses.
Book Chapter
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0009021
EISBN: 978-1-62708-187-0
... experimental patterns, wall thicknesses would progressively increased or diminished, or revisions may be made to compensate for errors in calculating contraction, at a fraction of the cost entailed in revising production patterns. This method was used for the casting shown in Fig. 3 . Fig. 3 An aluminum...
Abstract
Thin sections save weight and thus contribute to a more favorable strength-to-weight ratio. By requiring a smaller volume of metal, thin walls may also lower casting costs, particularly when an expensive alloy is being poured. This article discusses the design problems in thin-wall steel sand castings, thin-wall aluminum and magnesium castings, thin-wall permanent mold castings, and thin-wall investment castings, with schematic illustrations.
Book: Surface Engineering
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001290
EISBN: 978-1-62708-170-2
... ) 0.007 to 0.03 (5 × 10 −5 to 2 × 10 −4 ) Ion current, mA/cm 2 (mA/in. 2 ) Fraction-exchange neutralized 0.1–2 (0.6–13) 0.05–0.40 Arrival ratio 0.1–1.5 Substrate temperature, °C (°F) <100 (<210) The IBAD process is a hybrid of PVD and ion implantation. It...
Abstract
Ion-beam-assisted deposition (IBAD) refers to the process wherein evaporated atoms produced by physical vapor deposition are simultaneously struck by an independently generated flux of ions. This article discusses the energy utilization of this process. It describes the physical and chemical processes occurring at the film-vacuum interface during IBAD and dual-ion-beam sputtering with illustrations. The article also reviews the methods used for large-area, high-volume implementation of IBAD and the modes of film formation for IBAD. It contains a table that presents information on deposition and synthesis of inorganic compounds by IBAD and concludes with a discussion on the improved coating properties, advantages, limitations, and applications of IBAD.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 November 1995
DOI: 10.31399/asm.hb.emde.a0003040
EISBN: 978-1-62708-200-6
... yarns are interlaced. Braiding has many similarities to filament winding. Dry or prepreg yarns, tapes, or tow can be braided over a rotating and removable form or mandrel in a controlled manner to assume various shapes, fiber orientations, and fiber volume fractions. Although braiding cannot achieve...
Abstract
Braiding is a textile process that is known for its simplicity and versatility. Braided structures are unique in their high level of conformability, torsional stability, and damage resistance. This article describes the braiding process and the mechanical properties of two-dimensional and three-dimensional braiding.
Series: ASM Handbook
Volume: 7
Publisher: ASM International
Published: 30 September 2015
DOI: 10.31399/asm.hb.v07.9781627081757
EISBN: 978-1-62708-175-7
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005409
EISBN: 978-1-62708-196-2
... beta phase) at high temperatures. For pure titanium, this transformation occurs at 882 °C. In many titanium alloys, the beta phase is partially ilized at lower temperatures, and the equilibrium volume fractions of alpha and beta vary with temperature. The temperature at which a specific alloy becomes...
Abstract
This article focuses on the modeling of microstructure evolution during thermomechanical processing in the two-phase field for alpha/beta and beta titanium alloys. It also discusses the mechanisms of spheroidization, the coarsening, particle growth, and phase decomposition in titanium alloys, with their corresponding equations.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005421
EISBN: 978-1-62708-196-2
... of a particle γ i , surface energy of the particle-matrix interface C v , cavity volume fraction C v o , initial cavity volume fraction D , diffusion coefficient δ, grain-boundary thickness δ ij , Kronecker delta ε ¯ , effective strain ε ¯ ˙ , effective strain rate ε 0...
Abstract
This article focuses on the modeling and simulation of cavitation phenomena. It summarizes the experimental observations of cavitation and reviews the modeling of cavity nucleation and growth. The article discusses the modeling of the cavity growth based on mesoscale and microscale under uniaxial versus multiaxial tensile-stress conditions. Mesoscale models incorporate the influence of local microstructure and texture on cavitation. The article outlines the descriptions of cavity coalescence and shrinkage. It also describes the simulation of the tension test to predict tensile ductility and to construct failure-mechanism maps.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005222
EISBN: 978-1-62708-187-0
.... As a result, gray cast irons and ductile irons with composition close to or higher than the eutectic composition usually expand during solidification. This is because the volume fraction of the graphite phase is large enough that volume expansion due to graphite formation is larger than the volume...
Abstract
This article provides a detailed discussion on the causes of formation of shrinkage porosity and gas porosity along with the methods involved in eliminating them. It discusses the process of porosity formation and the factors affecting porosity formation, including alloy composition, external pressure, and cooling conditions.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005211
EISBN: 978-1-62708-187-0
... ) proposed that the volume fraction of solute phase in the eutectic structure will also influence the morphology of the eutectic structure. Hence, the morphology of the eutectic structure in a binary metallic system can be broadly classified as shown in Fig. 3 . In Fig. 3 , the regular or normal eutectic...
Abstract
This article presents the binary eutectic phase diagram to understand the various structures that evolve in a binary eutectic system during solidification. It describes the various classifications and solidification principles of the eutectic structures. Formation of halos in eutectic microstructures of most alloy systems is also discussed.
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005933
EISBN: 978-1-62708-166-5
... quench media, known as nanoquenchants, with varying cooling severities is feasible and would be extremely useful for quench heat treatment. Experiments on nanofluids have indicated that the additions of small volume fraction of nanoparticles into the base fluid have significant impact on the effective...
Abstract
Nanofluids offer a completely different behavior of wetting kinetics and heat-removal characteristics, which are exploited in industrial heat treatment for quenching. This article provides information on the important thermophysical properties of nanofluids, namely, thermal conductivity, viscosity, specific heat, density, and surface tension. It reviews wetting and boiling heat-transfer characteristics of nanofluids as quenchants and highlights the importance of using nanofluids as effective quench media for the hardening process during heat treatment. The article describes the effect of nanoparticle addition on the microstructure, mechanical properties of components, wetting kinetics, and kinematics.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005217
EISBN: 978-1-62708-187-0
... of solidification per unit volume, and df / dT is the volume fraction of solid formed at a changing temperature. The change in shape of the temperature-time curve now depends on the volume fraction of solid formed. The larger the rate of increase of volume fraction of solid, the smaller the slope...
Abstract
Thermal analysis is a classical method of determining phase diagrams and can be used to analyze the deviation from solidification under equilibrium conditions. This article discusses the use of thermal analysis in industrial processes and in research. It describes the theoretical basis of simplified and differential thermal analysis. The article explains how to determine the liquidus and solidus temperatures by using cooling curves.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005401
EISBN: 978-1-62708-196-2
... the formation of related alpha variants. In the specific work of Gey et al. ( Ref 69 ), therefore, the volume fractions of alpha variants for each beta crystal orientation were assigned in direct proportion to the relative activity on those slip systems that underwent a certain minimum shear strain...
Abstract
The modeling and simulation of texture evolution for titanium alloys is often tightly coupled to microstructure evolution. This article focuses on a number of problems for titanium alloys in which such coupling is critical in the development of quantitative models. It discusses the phase equilibria, crystallography, and deformation behavior of titanium and titanium alloys. The article describes the modeling and simulation of recrystallization and grain growth of single-phase beta and single-phase alpha titanium. The deformation- and transformation-texture evolution of two-phase (alpha/beta) titanium alloys are also discussed.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003163
EISBN: 978-1-62708-199-3
... tensile strength and yield strength increase with an increase in reinforcement fraction. (It should be noted that these properties are decreased with an increase in volume fraction of soft particles, e.g., graphite.) The fracture toughness and ductility (percent elongation and strain to failure...
Abstract
Metal-matrix composites (MMCs) are a class of materials with potential for a wide variety of structural and thermal applications. This article discusses the mechanical properties of MMCs, namely aluminum-matrix composites, titanium-matrix composites, magnesium-matrix composites, copper-matrix composites, superalloy-matrix composites, and intermetallic-matrix composites. It describes the processing methods of discontinuous aluminum MMCs which include casting processes, liquid-metal infiltration, spray deposition and powder metallurgy. The article provides useful information on aluminum MMC designation system and also describes the types of continuous fiber aluminum MMCs, including aluminum/boron MMC, aluminum/silicon carbide MMC, aluminum/graphite MMC, and aluminum/alumina MMC.
Book Chapter
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005214
EISBN: 978-1-62708-187-0
... solidify to α-crystals and then transform to stable β-crystals. Alloys between I and II also solidify to α-crystals, but they are partially transformed to β-crystals later. Fig. 2 Phase diagram with a peritectic reaction The volume fraction of each phase will be given by the lever rule if the...
Abstract
This article describes the three solidification mechanisms of peritectic structures, namely, peritectic reaction, peritectic transformation, and direct precipitation. It discusses the theoretical analysis, which shows that the rate of the peritectic transformation is influenced by the diffusion rate and the extension of the beta-phase region in the phase diagram. The article provides information on peritectic transformations in multicomponent systems.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005335
EISBN: 978-1-62708-187-0
... phase. The role of carbon and carbides is paramount in these alloys. During solidification and subsequent cooling, carbides of various compositions are formed interdendritically and at grain boundaries. As carbon content and refractory element concentration are increased, the volume fraction of...
Abstract
This article discusses the physical metallurgy of cast cobalt alloys with emphasis on crystallography, compositions, phases and microstructure, and properties. Cobalt alloys are cast by several different foundry methods. The article describes the argon-oxygen decarburization and continuous casting process. It provides information on castability and quality of the casted alloys. The article details postcasting treatment, including heat treatment, hot isostatic pressing, and coatings. It summarizes the applications of cast cobalt alloys.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005236
EISBN: 978-1-62708-187-0
... resolved and is approximated by microscopic models. Special algorithms have to be designed to integrate the evolution of the volume fraction of the phases present in the REV over time, as well as to integrate the kinetics of the development of envelopes defining the grains. Fig. 2 Schematic of a...
Abstract
Modeling of structure formation in casting of alloys involves several length scales, ranging from the atomic level to macroscopic scale. Intermediate length scales are used to define the microstructure of the growing phases and the grain structure. This article discusses the principles and applications of phase field method and cellular automaton method for modeling the direct evolution of structure at the intermediate length scales, where transport phenomena govern the spatial and temporal evolution of the structure that involves nucleation and growth.