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Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005210
EISBN: 978-1-62708-187-0
... in different solidification processing techniques are also shown in the figure. A planar front growth occurs at very low velocity, as in single-crystal casting, or at very high velocity, as in laser processing and atomization of very fine droplets. A cellular microstructure forms at low velocities when...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005437
EISBN: 978-1-62708-196-2
... balance equations planar front growth Fundamentals Some of the most important tools that materials scientists use regularly are equilibrium phase diagrams. These diagrams, derived from thermodynamics, define the phases present and their relative amounts in equilibrium as a function of overall...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005208
EISBN: 978-1-62708-187-0
... and secondary arms indicated. Source: Ref 4 Planar Front Growth As discussed in other articles in this Handbook, the two processing variables that are used to correlate microstructures are the temperature gradient in the liquid at the interface, G L , and the solidification front speed, v n...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005209
EISBN: 978-1-62708-187-0
... crystals, used mainly as substrates for integrated circuits. Other examples of PFS can be found in more basic work of solidification phenomena; the morphological stability of plane fronts at both small and large growth rates has generated substantial interest. This part is fundamental for the theoretical...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005226
EISBN: 978-1-62708-187-0
... in various crystal growth and/or directional solidification apparatuses is well known. Solidification takes place with a planar interface and no microsegregation. Less well known is the fact that the full morphological stability theory of the liquid-solid interface predicts a similar result for freezing...
Image
Published: 01 December 2008
Fig. 2 X-ray radiograms showing planar eutectic and columnar dendritic growth during directional solidification parallel with gravity in an Al-30wt%Cu alloy. Left column: every fifth image from a part of the sequence representing the microstructure evolution at times t 0 , 2.25 and 4.5 s More
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003724
EISBN: 978-1-62708-177-1
... with planar interfaces (single crystals or polycrystals with columnar front) or with equiaxed structure. To obtain single crystals the following methods are used ( Ref 1 ): normal freezing (the boat method or the Bridgman method), crystal pulling (Czochralski), or zone melting and zone freezing (with crucible...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006311
EISBN: 978-1-62708-179-5
... bulk nucleation. In the absence of bulk nucleation, the columnar front will continue to grow. Planar Interfaces Planar growth of alloys can usually be achieved only in crystal growth furnaces at high temperature gradients and low solidification velocities. For example, for planar solidification...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005227
EISBN: 978-1-62708-187-0
... ( Ref 37 ), external fields such as centrifugal force, morphology of the solidification front ( Ref 38 ), and surface energies ( Ref 39 , 40 ) ( Table 5 ). Kim and Rohatgi ( Ref 41 ) have proposed models on particle pushing, taking into account the effect of interface shape, which is initially planar...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005218
EISBN: 978-1-62708-187-0
... on the role of solute pile-up and buoyancy-driven flow of fragments to promote mesoscale segregation, columnar front blocking, and the initial stage of columnar-to-equiaxed transition ( Ref 27 , 28 ). Fig. 2 X-ray radiograms showing planar eutectic and columnar dendritic growth during directional...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003539
EISBN: 978-1-62708-180-1
... by more-or-less curved marks that delineate the position of the crack front at a particular point in time. These marks are commonly called beach marks and are also known as clamshell marks and arrest marks. Beach marks are produced by a change in crack growth conditions, such as a change in environment...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005609
EISBN: 978-1-62708-174-0
... to establish the condition for the CET. The type of growth that occurred was assumed to depend on the volume fraction of equiaxed grains that formed in the undercooled region when the advancing columnar front met the equiaxed grains. The structure was assumed to be fully columnar, and thus the CET was avoided...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006776
EISBN: 978-1-62708-295-2
... such that growth follows a zigzag or serrated faceted pattern, on average normal to the direction of fluctuating tension. The stage I propagation mechanism is favored in materials that exhibit planar slip and in some alloys strengthened by coherent precipitates (such as age-hardened aluminum) and under...
Book Chapter

Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006225
EISBN: 978-1-62708-163-4
..., a lamellar structure may be formed even at a very low volume fraction, because the interfacial energy is then considerably lower along specific planes, along which the lamellae can be aligned. Growth of faceted phases occurs on well-defined atomic planes, thus creating planar, angular surfaces (facets...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006865
EISBN: 978-1-62708-395-9
... growth results from the rupture of fibrils at the trailing edge of a craze. As the nucleated crack increases in size, new craze matter is generated at the craze tip. Crazes are very thin, planar defects; therefore, they form a very flat and smooth fracture origin, commonly known as the mirror zone...
Book Chapter

By S.L. Rohde
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001288
EISBN: 978-1-62708-170-2
... substrate temperatures can be associated with a transition from an open columnar arrangement (zone I), to a dense columnar formation (T-zone), to a second dense columnar microstructure (zone II), and, finally, to dense equiaxed grain structure (zone III), as shown in Fig. 3 . Thus, increasing the growth...
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
... classified as cold work (no accompanying recrystallization) or as hot work (spontaneous recrystallization occurring simultaneously with, or soon after, deformation). The latter is discussed in more detail in the article “Recovery, Recrystallization, and Grain-Growth Structures” in this Volume. It is also...
Series: ASM Handbook
Volume: 12
Publisher: ASM International
Published: 01 June 2024
DOI: 10.31399/asm.hb.v12.a0007034
EISBN: 978-1-62708-387-4
... growth. Note the overlap between these two regimes at larger-than-typical length scales due to the presence of microtexture. The vertical line denotes the common definition for an engineering crack (~0.7 mm, or ~ 1 32 in., surface length). Fig. 2 Crystallographic structure and slip...
Book Chapter

Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003541
EISBN: 978-1-62708-180-1
... are preceded by craze formation and its subsequent breakdown. The initial stage of crack growth results from the rupture of fibrils at the trailing edge of a craze. As the nucleated crack increases in size, new craze matter is generated at the craze tip. Crazes are very thin, planar defects; therefore...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005522
EISBN: 978-1-62708-197-9
... , p 711 – 809 46. Mangelinck-Noel N. and Duffar T. , Modelling of the Transition from a Planar Faceted Front to Equiaxed Growth: Application to Photovoltaic Polycrystalline Silicon , J. Cryst. Growth , Vol 311 , 2008 , p 20 – 25 10.1016/j.jcrysgro.2008.10.011 47...