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Book Chapter
Book: Systems Failure Analysis
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.tb.sfa.t52780171
EISBN: 978-1-62708-268-6
... point and the overall mean, squaring each difference, and adding the squared differences. The total sum of squares represents the total variability of individual data points from the grand mean. The failure analysis team defines the total degrees of freedom, which are the number of independent...
Abstract
After the failure analysis team hypothesizes failure causes, prepares a failure mode assessment and assignment, and evaluates all potential failure causes, it may find in some cases that several causes are still suspect but cannot be confirmed. In this situation, an experiment is necessary to confirm or rule out suspected causes. This chapter discusses two predominant methods for doing this, namely analysis of variance (ANOVA) and Taguchi methods (a more powerful technique based on ANOVA).
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2016
DOI: 10.31399/asm.tb.ascaam.t59190035
EISBN: 978-1-62708-296-9
... , β Cr , γ Cr Al 9 Cr 4 30.8 45.1 45–49.3 wt% 31.3±0.4 at.% … Al 8 Cr 5 Al 8 Cr 5 38.5 54.6 30.4–41 at.% … Equilibrium reactions in the Al-Cr system Table 2.4 Equilibrium reactions in the Al-Cr system Reaction Degrees of freedom Concentration in liquid (L), at.% Cr...
Abstract
Structurally differentiated intermetallic phases are important constituents in the microstructure of aluminum alloys, with the potential to influence properties, behaviors, and processing characteristics. These phases can form in aluminum-silicon alloys with transition metals (Fe, Mn, Ni, Cr, V, Ti) and with metals such as Mg and Cu. This chapter is a compilation of phase diagrams, microstructure images, and tables, providing information on more than 30 binary, ternary, and quaternary alloy systems associated with intermetallic phases in aluminum-silicon castings. Each section includes tabular information and data on the intermetallic phases in the aluminum corner of the equilibrium phase diagram, the characteristics of the crystal lattice of intermetallic phases, the chemical composition of the alloy intermetallic phases, and equilibrium reactions in the alloy system.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420001
EISBN: 978-1-62708-310-2
..., or alloy, plus the number of degrees of freedom, F , is equal to the sum of the components, C , of the system plus 2: (Eq 1.5) P + F = C + 2 The phases, P , are the homogeneous parts of a system that, having definite bounding surfaces, are conceivably separable by mechanical means...
Abstract
This chapter provides a brief overview of phase diagrams, explaining what they represent and how and why they are used. It identifies key points, lines, and features on a binary nickel-copper phase diagram and explains what they mean from a practical perspective. It also discusses the concept of equilibrium, the significance of Gibb’s phase rule, the theorem of Le Chatelier, and the use of the lever rule.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240075
EISBN: 978-1-62708-251-8
... where P is the number of phases; F is the number of independent variables, called the degrees of freedom; and C is the number of components in the system. Usually, a component, C , is an alloying element, compound, or solution in the system. The degrees of freedom, F , is the number...
Abstract
Phase diagrams are graphical representations that show the phases present in the material at various compositions, temperatures, and pressures. This chapter begins with a section describing the construction of phase diagrams for the simple binary isomorphous system. A binary phase diagram can be used to determine three important types of information: the phases that are present, the composition of the phases, and the percentages or fractions of the phases. The chapter then describes the construction of one common type of binary phase diagram i.e., the eutectic alloy system. The major eutectic systems include the aluminum-silicon eutectic system and the lead-tin eutectic system. The chapter discusses the construction of eutectic phase diagrams from free energy curves. It also provides information on peritectic, monotectic, and solid-state reactions in alloy systems. The presence of intermediate phases is also described. Finally, a brief section provides some information on ternary phase diagrams.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420015
EISBN: 978-1-62708-310-2
... the phase rule becomes: F = C + 2 − P F = 1 + 2 − 1 = 2 Fig. 2.4 Unary diagram for magnesium with points in one-, two-, and three-phase regions of the diagram. Adapted from: Ref 2.1 That is, there are two degrees of freedom. If both the pressure...
Abstract
This chapter describes the physical characteristics, properties, and behaviors of solid solutions under equilibrium conditions. It begins with a review of a single-component pure metal system and its unary phase diagram. It then examines the solid solution formed by copper and nickel atoms. It discusses the difference between interstitial and substitutional solid solutions and the factors that determine the type of solution that two metals are likely to form. It also addresses the development of intermediate phases, the role of free energy, transformation kinetics, liquid-to-solid and solid-state phase transformations, and the allotropic nature of metals.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420191
EISBN: 978-1-62708-310-2
... application of the phase rule, it should be recalled that one degree of freedom has been exercised in the initial construction of the 3-D diagram by electing to draw it at one atmosphere of pressure. 10.1 Space Model of Ternary Systems 10.2 The Gibbs Triangle 10.3 Tie Lines 10.4 Ternary Isomorphous...
Abstract
This chapter discusses the construction, interpretation, and use of ternary phase diagrams. It begins by examining a hypothetical phase space diagram and several corresponding two-dimensional plots. It then describes one of the most basic tools of metallurgy, the Gibbs triangle, and explains how to construct tie lines to analyze intermediate compositions and phases. It also discusses the use of three-dimensional temperature-composition diagrams, three- and four-phase equilibrium phase diagrams, and binary and ternary phase diagrams associated with the iron-chromium-nickel alloy system.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 31 December 2020
DOI: 10.31399/asm.tb.phtbp.t59310001
EISBN: 978-1-62708-326-3
... ) under thermal equilibrium from thermodynamic theory such that: (Eq 3) P = C − F + 2 Where C is number of different elements in the system, and F is the number of degrees of freedom in the system—that is, the number externally controllable independent variables (temperature...
Abstract
The building block of all matter, including metals, is the atom. This chapter initially provides information on atomic bonding and the crystal structure of metals and alloys, followed by a description of three crystal lattice structures of metals: face-centered cubic, hexagonal close-packed, and body-centered cubic. It then describes the four main divisions of crystal defects, namely point defects, line defects, planar defects, and volume defects. The chapter provides information on grain boundaries of metals, processes involved in atomic diffusion, and key properties of a solid solution. It also explains the aspects of a phase diagram that shows what phase or phases are present in the alloy under conditions of thermal equilibrium. Finally, a discussion on the applications of equilibrium phase diagrams is presented.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420263
EISBN: 978-1-62708-310-2
.... This section therefore concentrates on the general principles rather than going into detail concerning the currently available software programs, which, in any case, often contain proprietary code. Essentially, the calculation must be defined so that the number of degrees of freedom is reduced, the Gibbs...
Abstract
This chapter provides an overview of a computational method, called CALPHAD, used for the study of phase equilibria in multicomponent systems. It describes the thermodynamic models and calculation techniques employed in the software and explains how it applies to complex alloys used in industry. It also provides examples showing how CALPHAD has been used to determine the formability of metallic glass, calculate the dilation of stainless steel during phase transformation, and predict the beta transus and approach curves of commercial titanium alloys.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320091
EISBN: 978-1-62708-357-7
... and 4.16 are Gibbs phase rule; f (or f ′) is called the degree of freedom; a system is called a nonvariant system if the degree of freedom = 0 and a monovariant system if the degree of freedom = 1. For example: Nonvariant system: Figure 4.5(a) ternary eutectic point E (L, A, B, C, four-phase...
Abstract
This chapter explains the significance of the phase diagram and its use in the development of new materials. The chapter describes the basic rules of heterogeneous equilibrium, presents a comparison between liquidus line and solidus line, and provides information on the solubility curve and the binodal curve.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420239
EISBN: 978-1-62708-310-2
... degrees of freedom are required to fix temperature and pressure and to vary the composition. Reaction morphologies consisting of two-phase structures (i.e., precipitates or wavy interfaces) are, therefore, thermodynamically forbidden for binary systems, assuming that only volume diffusion takes place...
Abstract
This chapter discusses some of the methods and measurements used to construct phase diagrams. It explains how cooling curves were widely used to determine phase boundaries, and how equilibrated alloys examined under controlled heating and cooling provide information for constructing isothermal and vertical sections as well as liquid projections. It also explains how diffusion couples provide a window into local equilibria and identifies typical phase diagram construction errors along with problems stemming from phase-boundary curvatures and congruent transformations.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2016
DOI: 10.31399/asm.tb.ascaam.t59190vii
EISBN: 978-1-62708-296-9
... composition, wt% Si Reaction Degrees of freedom Liquid alloy composition, wt% Si Solid phase composition, wt% Si Temperature ( T ), °C Hypoeutectic 1.65–11.7 L →Al 1 C L Si ( T ) C αAl Si ( T ) T Lα–Al L →Al+Si 0 12.6 1.65 577 Eutectic 11.7 L →Al+Si 0 12.6 1.65 577...
Abstract
This chapter provides an overview of the microstructure-property relationships associated with aluminum-silicon alloys. It includes information on commercial designations and grades, phase compositions, solidification paths, alloying elements, and intermetallic phases. It also provides solubility data and maps out the topics covered in subsequent chapters in the book.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060013
EISBN: 978-1-62708-261-7
...—is the Gibb’s phase rule that relates the number of components in a system to the physical state of the system. The number of stable phases ( p ) in a system is defined by the rule: (Eq 2.4) p = c − f + 2 where f is the number of independent variables (called degrees of freedom...
Abstract
This chapter introduces many of the key concepts on which metallurgy is based. It begins with an overview of the atomic nature of matter and the forces that link atoms together in crystal lattice structures. It discusses the types of imperfections (or defects) that occur in the crystal structure of metals and their role in mechanical deformation, annealing, precipitation, and diffusion. It describes the concept of solid solutions and the effect of temperature on solubility and phase transformations. The chapter also discusses the formation of solidification structures, the use of equilibrium phase diagrams, the role of enthalpy and Gibb’s free energy in chemical reactions, and a method for determining phase compositions along the solidus and liquidus lines.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420073
EISBN: 978-1-62708-310-2
... in adjacent fields in a multicomponent diagram must differ by one. Stable equilibria for binary systems Table 4.2 Stable equilibria for binary systems Number of components Number of phases Degrees of freedom Equilibrium 2 3 0 Invariant 2 2 1 Univariant 2 1 2 Bivariant...
Abstract
This chapter discusses the unique characteristics of isomorphous alloy systems. It begins with a review of the naming conventions for multi-component systems and the construction of a three-dimensional phase diagram for a two-component alloy system. It explains how phase diagrams can be constructed from time-temperature cooling curves and how they can be used to predict the phases present, their chemical compositions, and relative amounts. It also shows how phase diagrams can be modified to account for nonequilibrium cooling conditions.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.tb.scm.t52870489
EISBN: 978-1-62708-314-0
... analysis codes and finite element modeling tools are available for detailed composite designs. Modern design is done on workstations with advanced computer-aided design (CAD)/computer-aided manufacturing (CAM) packages. Integrated product definition teams have more freedom with composite construction...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780028
EISBN: 978-1-62708-281-5
... freedom of rotation for the carbon-carbon single bond. Of course, the greater electron density of the carbon-carbon triple bond does restrict the motion of that bond. Consideration of neopentane shows the resulting reduction of degrees of freedom when substituent hydrogens are replaced by the considerably...
Abstract
This article describes in more detail the fundamental building-block level, atomic, then expands to a discussion of molecular considerations, intermolecular structures, and finally supermolecular issues. An explanation of important thermal, mechanical, and physical properties of engineering plastics and commodity plastics follows, and the final section briefly outlines the most common plastics manufacturing processes.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2011
DOI: 10.31399/asm.tb.cfw.t52860035
EISBN: 978-1-62708-338-6
... advantageous and essential to consider all the different machine configurations, from a simple two-axis machine to one with six or more degrees of freedom. Indeed, postprocessing to allow winding by using a standard commercially available six-axis robot is also desirable. When the wealth of different types...
Abstract
This chapter discusses the ways in which the evolution of filament winding software systems has capitalized on the inherent flexibility of computer numerical controlled winding machines and enhanced their productivity. It provides a detailed discussion on different types of geometries that can be wound, from the simple to the highly complex, with insight into the limitations, advantages, and challenges of each. Components covered include classic axisymmetric parts (rings, pipes, driveshafts, pipe reducers, tapered shafts, closed-end pressure vessels, and storage tanks), nonround sections (aeromasts, airfoils, box sections, and fuselage sections), curved-axis parts (elbows, ducts), and special applications (tees). Basic winding concepts, such as band pattern, are discussed and explained, and some simple predictive formulae are introduced. The chapter also provides examples of programming various geometries using advanced software tools and discusses how various materials, such as rovings, tow-preg, prepreg tape, and woven materials, affect winding program generation.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1995
DOI: 10.31399/asm.tb.sch6.t68200048
EISBN: 978-1-62708-354-6
... to other cast metals and other methods of steel fabrication is also included in this chapter. Design Flexibility Steel castings offer greater freedom to design engineers. The casting process permits the formation of streamlined, intricate, integral parts with strength and rigidity which...
Abstract
Casting is one of the basic processes used for the shaping of steel. It is economical in both cost and time of production. Numerous components are produced from cast steel because of the advantages of the process. These advantages can best be described under the following headings: design flexibility, metallurgical versatility and quality, and economic benefits. This chapter looks at these advantages of steel castings. Of major interest is the comparison of cast steel with wrought steel and weldments in terms of properties, availability, cost, and quality. The chapter also includes information on cast steel compared to other cast metals and other methods of steel fabrication.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060137
EISBN: 978-1-62708-355-3
... at the smaller cross section in the gage region. The second situation involves notched specimens. A molded notch may not affect strength to the same degree, or even in the same sense, that would be inferred from stress-concentration theory, because the local flow geometry near the crack tip may enhance...
Abstract
The testing of plastics includes a wide variety of chemical, thermal, and mechanical tests. This chapter reviews the tensile testing of plastics, which has been standardized in ASTM D 638, "Standard Test Method for Tensile Properties of Plastics," and other comparable standards. It describes the fundamental factors that affect data from tensile tests, examines the stipulations in standardized tensile testing, and discusses the utilization of data from tensile tests.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2018
DOI: 10.31399/asm.tb.aceg.t68410103
EISBN: 978-1-62708-280-8
... in.). Maintain a minimum clearance of about 25 mm (1 in.) between the outside edges of the retainer and the tie bars for quick die changing. Design multiple cavities with slides, recognizing the degrees of freedom as shown in Fig. 6.5 . Fig. 6.5 Die cavities and freedom for slides Selection...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780314
EISBN: 978-1-62708-281-5
... ). The pan contains three phases (liquid and gaseous forms of water, and polymer) and thus has but one degree of freedom by Gibb’s phase rule, namely temperature, because this is necessarily the independent variable in a measurement of T g . Results of using this method are given in Table 3 , where...
Abstract
This article describes the mechanisms of moisture-induced damage in polymeric materials, covering the characteristics of important structural plastics; the effects of moisture on glass transition temperature, modulus, creep, and stress relaxation of plastic materials; and moisture-induced fatigue failure in composites. The effect of moisture on the mechanical properties of thermoset resins and thermoplastics are also discussed.