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Image
(a) Crystal structure and Burgers vectors in the TiAl (γ) phase. (b) Modifi...
Available to PurchasePublished: 01 January 2015
Fig. 3.28 (a) Crystal structure and Burgers vectors in the TiAl (γ) phase. (b) Modified Thompson tetrahedron for the L1 structure
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Image
Published: 01 March 2012
Fig. A.35 Burgers circuit and vector for line dislocation. Source: Ref A.5 as published in Ref A.1
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in Crystalline Imperfections and Plastic Deformation
> Elements of Metallurgy and Engineering Alloys
Published: 01 June 2008
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Deformation in a crystal lattice from slip of line defect (dislocation) fro...
Available to Purchase
in Lattice Structure and Deformation Mechanisms in Metallic Single Crystals
> Mechanics and Mechanisms of Fracture: An Introduction
Published: 01 August 2005
Fig. A1.2 Deformation in a crystal lattice from slip of line defect (dislocation) from a position in (a) to the edge in (c). The vector b is the Burgers vector, which is defined as the unit displacement of a dislocation. Source: Ref A1.1
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Book Chapter
Crystal Structure Defects and Imperfections
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.t56020001
EISBN: 978-1-62708-389-8
... planes, and dislocation passage through precipitates. It also points out important structure-property correlations. antisite defects Burgers vector edge dislocations Frenkel defects grain size impurities mechanical properties pinning Schottky defects screw dislocations solid solution...
Abstract
Alloying, heat treating, and work hardening are widely used to control material properties, and though they take different approaches, they all focus on imperfections of one type or other. This chapter provides readers with essential background on these material imperfections and their relevance in design and manufacturing. It begins with a review of compositional impurities, the physical arrangement of atoms in solid solution, and the factors that determine maximum solubility. It then describes different types of structural imperfections, including point, line, and planar defects, and how they respond to applied stresses and strains. The chapter makes extensive use of graphics to illustrate crystal lattice structures and related concepts such as vacancies and interstitial sites, ion migration, volume expansion, antisite defects, edge and screw dislocations, slip planes, twinning planes, and dislocation passage through precipitates. It also points out important structure-property correlations.
Image
(a) Atom arrangements in an edge dislocation. (b) Illustration of Burgers v...
Available to Purchase
in Crystal Structure Defects and Imperfections
> Crystalline Imperfections: Key Topics in Materials Science and Engineering
Published: 01 October 2021
Fig. 3 (a) Atom arrangements in an edge dislocation. (b) Illustration of Burgers vector derived from the RH/SF (right-hand/start-to-finish) convention.
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Creep data for several face-centered cubic metals plotted as a function of ...
Available to PurchasePublished: 01 November 2012
Fig. 5 Creep data for several face-centered cubic metals plotted as a function of normalized shear stress (σ s / G ) compared with a power law stress exponent of n = 4. b, Burgers vector. Source: Ref 5
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Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.9781627083898
EISBN: 978-1-62708-389-8
Book Chapter
Crystalline Imperfections—Problems and Solutions
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.t56020013
EISBN: 978-1-62708-389-8
... ) = 2 πx e − π x 2 The function is shown in the graph as: Problem 25: Edge Dislocation Gliding in an <italic>fcc</italic> Lattice Consider an edge dislocation with Burgers vector 1 2 [ 110 ] gliding in an fcc lattice. What are the possible glide planes...
Abstract
This chapter provides readers with worked solutions to more than 25 problems related to compositional impurities and structural defects. The problems deal with important issues and challenges such as the design of low-density steels, the causes and effects of distortion in different crystal structures, the ability to predict the movement of dislocations, the influence of impurities on defects, the relationship between gain size and material properties, the identification of specific types of defects, the selection of compatible metals for vacuum environments, and the effect of twinning planes on stacking sequences. The chapter also includes problems on how the formation of precipitates can produce slip planes and how grain boundaries can act as obstacles to dislocation motion.
Book Chapter
Crystalline Imperfections and Plastic Deformation
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240017
EISBN: 978-1-62708-251-8
... description of dislocations is given by the Burgers vector, b , illustrated in Fig. 2.7 . This vector is defined using what is called the Burgers circuit, which is an atom-to-atom path that makes a closed loop in a dislocation-free part of the crystal lattice. Now, if the same Burgers circuit is made...
Abstract
In a perfect crystalline structure, there is an orderly repetition of the lattice in every direction in space. Real crystals contain a considerable number of imperfections, or defects, that affect their physical, chemical, mechanical, and electronic properties. Defects play an important role in processes such as deformation, annealing, precipitation, diffusion, and sintering. All defects and imperfections can be conveniently classified under four main divisions: point defects, line defects, planar defects, and volume defects. This chapter provides a detailed discussion on the causes, nature, and impact of these defects in metals. It also describes the mechanisms that cause plastic deformation in metals.
Book Chapter
Physical Metallurgy of Beryllium
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.bcp.t52230151
EISBN: 978-1-62708-298-3
... that pyramidal (or c/a) slip does not occur at ambient temperatures. Dislocations that have Burgers vectors with c-axis components are not energetically favored and therefore are not found in samples that have been deformed at low temperatures. These elastic compliances give an elastic modulus of over 300 GPa...
Abstract
This chapter provides an overview of the physical metallurgy of beryllium, discussing phases and phase transformations, physical and mechanical properties, heat treatment, and alloying. It explains how the atomic structure of beryllium, particularly its sp hybrid state, contributes to the anisotropy of elastic constants and slip properties, resulting in a specific stiffness, or modulus-to-density ratio, six times higher than that of any other structural material.
Book Chapter
Lattice Structure and Deformation Mechanisms in Metallic Single Crystals
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540357
EISBN: 978-1-62708-309-6
... (dislocation) from a position in (a) to the edge in (c). The vector b is the Burgers vector, which is defined as the unit displacement of a dislocation. Source: Ref A1.1 Slip from shear stress is the most common deformation mechanism within crystalline lattices of metallic materials, although...
Abstract
Deformation within a crystal lattice is governed principally by the presence of dislocations, which are two-dimensional defects in the lattice structure. Slip from shear stress is the most common deformation mechanism within crystalline lattices of metallic materials, although deformation of crystal lattices can also occur by other processes such as twinning and, in special circumstances, by the migration of vacant lattice sites. This appendix describes the notation used to specify lattice planes and directions and discusses the mechanisms of slip and twinning as well as the effect of stacking faults.
Book Chapter
Review of Metallic Structure
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420363
EISBN: 978-1-62708-310-2
.... The method for finding the direction of the a 1 axis is shown in Fig. A.25 . This axis has the same direction as the vector sum of the three vectors, one of them of length +2 along the a 1 axis, another of length –1 along the a 2 axis, and the third of length –1 along the a 3 axis. This yields...
Abstract
This appendix provides a detailed overview of the crystal structure of metals. It describes primary bonding mechanisms, space lattices and crystal systems, unit cell parameters, slip systems, and crystallographic planes and directions as well as plastic deformation mechanisms, crystalline imperfections, and the formation of surface or planar defects. It also discusses the use of X-ray diffraction for determining crystal structure.
Book Chapter
Phases and Structures
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410017
EISBN: 978-1-62708-265-5
... of an incomplete atom plane in a crystal, and the magnitude and direction of the resulting discontinuity is designated as the Burgers vector. As the dislocation moves across a slip plane, from (a) to (d), the top part of the crystal is displaced relative to the bottom part of the crystal. Only the atomic bonds...
Abstract
This chapter describes the iron-carbon phase diagram, its modification by alloying elements, and the effect of carbon on the chemistry and crystallography of austenite, ferrite, and cementite found in Fe-C alloys and steels. It also lays the groundwork for understanding important metallurgical concepts, including solubility, critical temperature, dislocation defects, slip, and diffusion, and how they affect the microstructure, properties, and behaviors of steel.
Book Chapter
Deformation, Strengthening, and Fracture of Ferritic Microstructures
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410213
EISBN: 978-1-62708-265-5
... in the strain-hardening process, τ 0 is the friction stress to move a dislocation through a crystal without obstacles, G is the shear modulus, b is the dislocation Burgers vector, l is the average effective dislocation line free length at some moment during strain hardening, and ρ is the dislocation...
Abstract
This chapter discusses the stress-strain response of ferritic microstructures and its influence on tensile deformation, strain hardening, and ductile fracture of carbon steels. It describes the ductile-to-brittle transition that occurs in bcc ferrite, the effects of aging and grain size on strength and toughness, continuous and discontinuous yielding behaviors, and dispersion and solid-solution strengthening processes.
Book Chapter
Mechanical Behavior of High-Entropy Alloys—Questions and Answers
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 February 2022
DOI: 10.31399/asm.tb.mbheaktmse.t56030021
EISBN: 978-1-62708-418-5
... dislocation’s Burgers vector, the SFE ( γ ) can be determined by fitting the experimental data using Eq A.1 ( Ref 46 ): (Eq A.1) d = G b p 2 8 πγ · 2 − v 1 − v · ( 1 − 2 v cos 2 θ 2 − v ) where G is the shear modulus, b p is the 1/6...
Abstract
This chapter, presented in a question-and-answer format, covers many practical aspects of high-entropy alloys (HEAs). It provides clear and concise answers to more than 50 questions, imparting knowledge on alloying elements, heat treatments, diffusion mechanisms, phase formation, lattice distortion, crystal and grain structures, structure-property relationships, microstructure control, and characterization methods. It likewise explains how to calculate the effect of strengthening processes on the mechanical properties of HEAs and offers insights on how to balance strength, ductility, and density for specific applications. It also provides information on twinning behaviors, stacking faults, elastic properties, coating and film deposition methods, manufacturing challenges, and the use of computational techniques for alloy design.
Book
Mechanical Behavior of High-Entropy Alloys: Key Topics in Materials Science and Engineering
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 February 2022
DOI: 10.31399/asm.tb.mbheaktmse.9781627084185
EISBN: 978-1-62708-418-5
Book Chapter
Principles of Alloying Titanium
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.tpmpa.t54480051
EISBN: 978-1-62708-318-8
Abstract
This chapter discusses the basic principles of alloying and their practical application in the production of titanium mill products and engineered parts. It begins with a review of the atomic and crystal structure of titanium and the conditions for interstitial and substitutional alloying. It then describes the different classes of alloying elements, their effect on mechanical properties and behaviors, and their influence on phase transitions and transformations. The chapter also discusses the role of intermetallic compounds and their effect on crystal structure and creep behavior.
Book Chapter
Recovery, Recrystallization, and Grain Growth
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240117
EISBN: 978-1-62708-251-8
... occurs, and, in the process, the annihilation of dislocations of opposite signs (of the Burger’s vector) takes place. The rearrangement of dislocations is assisted by thermal energy, which aids in both climb and slip mechanisms. Since impurities and alloying elements are attracted to both vacancies...
Abstract
Annealing, a heat treatment process, is used to soften metals that have been hardened by cold working. This chapter discusses the following three distinct processes that can occur during annealing: recovery, recrystallization, and grain growth. The types of processes that occur during recovery are the annihilation of excess point defects, the rearrangement of dislocations into lower-energy configurations, and the formation of subgrains that grow and interlock into sub-boundaries. The article also discusses the main factors that affect recrystallization. They are temperature and time; degree of cold work; purity of the metal; original grain size; and temperature of deformation. The types of grain growth discussed include normal or continuous grain growth and abnormal or discontinuous grain growth.
Book Chapter
Selected Relevant Background Information
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870375
EISBN: 978-1-62708-344-7
... and bond with atom B . The result is the extra atomic plane appears to have moved one atomic spacing (a Burgers vector) to the left. Breaking and remaking only one weakened atomic bond accomplished this apparent movement. Continued application of the shear stress causes a series of similar weakened atomic...
Abstract
This appendix provides supplemental information on the metallurgical aspects of atomic structure, the use of dislocation theory, heat treatment processes and procedures, important engineering materials and strengthening mechanisms, and the nature of elastic, plastic, and creep strain components. It also provides information on mechanical property and fatigue testing, the use of hysteresis energy to analyze fatigue, a procedure for inverting equations to solve for dependent variables, and a method for dealing with the statistical nature of failure.
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