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Burgers orientation relationship

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Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006277
EISBN: 978-1-62708-169-6
..., and transformation texture development during heat treatment of multicomponent alpha/beta and beta titanium alloys. It includes quantitative description of Burgers orientation relationship and path, discussion of lattice correspondence between the alpha and beta phases, and determination of the total number...
Image
Published: 01 June 2016
Fig. 23 Illustrations of all special crystallographic orientation relationships among grain-boundary α (red) and two adjacent β grains (blue and green) that are able to hold the Burgers orientation relationship with the grain-boundary α. (a) Type 1: 10.52°/⟨110⟩ β . (b) Type II: 49.48°/49.48 More
Image
Published: 01 June 2016
Fig. 11 Schematic lattice correspondences between the body-centered cubic (bcc) β phase and the hexagonal close-packed α phase during β → α transformation when maintaining (a) Pitsch-Schrader and (b) Burgers orientation relationships More
Image
Published: 01 June 2016
Fig. 6 Schematic lattice correspondence between the body-centered cubic (bcc) β phase and the hexagonal close-packed (hcp) α phase during β → α transformation maintaining Burgers orientation relationship in both (a) to (c) three dimension and (e) to (f) two dimension. Source: Ref 15 More
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005455
EISBN: 978-1-62708-196-2
.... Because the Burgers vectors of these defects are inclined to one another, it is not possible for both of them to be in the screw orientation simultaneously, and so, a weak interaction between at least one of the partials and both interstitial and substitutional solutes in fcc will occur. Summary...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006644
EISBN: 978-1-62708-213-6
... tracing ( Fig. 5b ). Under low-absorption conditions, the aforementioned orientation contrast formation mechanism also applies to ordinary dislocations with Burgers vectors smaller than that of micropipes ( Ref 18 ). Fig. 5 (a) Synchrotron transmission topograph of superscrew dislocations in 6H-SiC...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003742
EISBN: 978-1-62708-177-1
... will provide additional short-range three-dimensional mobility of dislocations for deformation temperatures above one-half of the melting temperature, T m . Deformation mode and grain orientation determine slip system activity and hence the Burgers vector population of dislocations. The slip pattern...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005412
EISBN: 978-1-62708-196-2
... Abstract This article summarizes a physical model of an interface structure and shows how the model helps in optimizing atomistic modeling studies. It presents the orientation relationship of the interface structure to define the mutual crystallographic position of adjacent crystals...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004029
EISBN: 978-1-62708-185-6
... as an approximation and a point of reference. Fig. 5 (002) pole figure of all variants of the bcc α phase formed from an (001)[100] oriented face-centered cubic (fcc) γ crystal following the Bain and Kurdjumov-Sachs (K-S) relationships The K-S relations correspond to “rotations” of +90° about each...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004018
EISBN: 978-1-62708-185-6
... , where G is the shear modulus, and b 2 is the magnitude of the Burgers vector). Thus, the total of possible slip directions (or systems) depends on the number of slip planes and slip directions in each plane. The orientations of slip planes and the direction of slip are described by using Miller...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005418
EISBN: 978-1-62708-196-2
... parameters such as the twin thickness, orientation relationship, and so on. Source: Ref 47 Two-Phase Aggregates Many materials are composed of dual-phase composites, such as duplex steels and α + β titanium alloys. Therefore, it is desirable to be able to model such situations within codes...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005507
EISBN: 978-1-62708-197-9
... are needed to mathematically define a two-dimensional grain boundary: the orientation relationship as expressed by a rotation angle, ω; an angle, θ, that defines the spatial orientation of the grain boundary with respect to one of the grains; and the components t 1 , t 2 of the translation vector t...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006934
EISBN: 978-1-62708-395-9
.... Then, the widely used models to simulate the service life of polymers are highlighted. These include the Burgers power-law model, the Findley power-law model, the time-temperature superposition (or equivalence) principle (TTSP), and the time-stress superposition principle (TSSP). Additionally, the Larson-Miller...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003254
EISBN: 978-1-62708-176-4
...) in an engineering stress-versus-engineering strain curve. Figure 7 introduces the influence of crystallographic orientation on the deformation of single crystals. Although this relationship becomes more complex in polycrystalline metals, the deformation will still depend on the orientation of the load...
Book Chapter

By Sammy Tin
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005404
EISBN: 978-1-62708-196-2
... , being performed on the crystal: (Eq 4) d W = τ a b l d x where b is the Burgers vector, and ldx is the area on the slip plane being swept out by the mobile dislocation segment. For small plastic strains, the relationship between the glide resistance, τ , and the shear...
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
.... Fig. 1 Close-packed planes/directions and crystallography of (a) hexagonal close-packed alpha titanium and (b) body-centered cubic beta titanium. The close-packed layer of atoms lying between the upper and lower close-packed layers has been removed from (a) for clarity. (c) Burgers orientation...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005413
EISBN: 978-1-62708-196-2
... of the material. It is given by the relationship: (Eq 1) τ μ ∝ b l where τ is the resolved shear stress, l is the average obstacle distance, μ is the shear modulus, and b is the length of Burgers vector. The proportionality constant depends on the geometrical arrangement and the profile...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001766
EISBN: 978-1-62708-178-8
... diffracted from a given family of atomic planes. Certain crystallographic details of the sample, such as crystal orientation and matrix-precipitate orientation relationships, may also be obtained. The newest generation of microscopes can generate electron-diffraction patterns from small volumes (<50 nm...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005428
EISBN: 978-1-62708-196-2
... crystallographic orientations, which are associated with each lattice site, s i ∈ {0, Q }, where i labels the lattice site. The system defines a boundary between unlike orientations and no interface between like orientations. In the most basic Potts model, the Q orientations can be represented...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006681
EISBN: 978-1-62708-213-6
.... 8 Summary of configurations of an electron gun and lenses in transmission electron microscopy. CCD, charge-coupled device Optical Lens Properties Figure 9(a) shows the relationship between a point object and its image through an optical round lens. In an ideal optical lens, the point...