Microstructure Formation in Rapidly Solidified Alloys View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1986

AUTHORS

W. J. Boettinger , S. R. Coriell

ABSTRACT

In order to apply solidification theory to the interpretation of micro- structures produced by rapid solidification, several modifications are required. Different degrees of non-equilibrium occur during solidification and constitute a hierarchy which is followed with increasing solidification rate. Analytical expressions are given for a model of non-equilibrium interface conditions which describe the temperatures and compositions at the liquid solid interface as a function of solidification velocity. For solidification at intermediate veloicities (≃10 cm/s) the assumption of local interfacial equilibrium remains valid but microstructures are often produced under conditions where the solute Peclet number Pc= V1/2D, is greater than one. The parameters V, 1 and D are the solidification velocity, relevant microstruetural length scale and liquid diffusion coefficient respectively. This fact requires that several topics in solidification theory be modified. Such a modification is presented for alloy dendritic growth theory. For alloys solidifying dendritically into undercooled melts, solute redistribution dominates the relatinship between growth rate and initial undercooling when the initial undercooling is smaller than the alloy freezing range (difference between liquidus and solidus temperatures). This fact has several important consequences for the eutectic coupled zone boundaries and for arrayed dendritic growth. More... »

PAGES

81-109

Book

TITLE

Science and Technology of the Undercooled Melt

ISBN

978-94-010-8483-3
978-94-009-4456-5

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-94-009-4456-5_5

DOI

http://dx.doi.org/10.1007/978-94-009-4456-5_5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1001658689


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0912", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Materials Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA", 
          "id": "http://www.grid.ac/institutes/grid.94225.38", 
          "name": [
            "Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Boettinger", 
        "givenName": "W. J.", 
        "id": "sg:person.013276032373.22", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013276032373.22"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA", 
          "id": "http://www.grid.ac/institutes/grid.94225.38", 
          "name": [
            "Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Coriell", 
        "givenName": "S. R.", 
        "id": "sg:person.07440110737.29", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07440110737.29"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "1986", 
    "datePublishedReg": "1986-01-01", 
    "description": "In order to apply solidification theory to the interpretation of micro- structures produced by rapid solidification, several modifications are required. Different degrees of non-equilibrium occur during solidification and constitute a hierarchy which is followed with increasing solidification rate. Analytical expressions are given for a model of non-equilibrium interface conditions which describe the temperatures and compositions at the liquid solid interface as a function of solidification velocity. For solidification at intermediate veloicities (\u224310 cm/s) the assumption of local interfacial equilibrium remains valid but microstructures are often produced under conditions where the solute Peclet number Pc= V1/2D, is greater than one. The parameters V, 1 and D are the solidification velocity, relevant microstruetural length scale and liquid diffusion coefficient respectively. This fact requires that several topics in solidification theory be modified. Such a modification is presented for alloy dendritic growth theory. For alloys solidifying dendritically into undercooled melts, solute redistribution dominates the relatinship between growth rate and initial undercooling when the initial undercooling is smaller than the alloy freezing range (difference between liquidus and solidus temperatures). This fact has several important consequences for the eutectic coupled zone boundaries and for arrayed dendritic growth.", 
    "editor": [
      {
        "familyName": "Sahm", 
        "givenName": "P. R.", 
        "type": "Person"
      }, 
      {
        "familyName": "Jones", 
        "givenName": "H.", 
        "type": "Person"
      }, 
      {
        "familyName": "Adam", 
        "givenName": "C. M.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-94-009-4456-5_5", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-94-010-8483-3", 
        "978-94-009-4456-5"
      ], 
      "name": "Science and Technology of the Undercooled Melt", 
      "type": "Book"
    }, 
    "keywords": [
      "solidification velocity", 
      "solidification theory", 
      "initial undercooling", 
      "local interfacial equilibrium", 
      "alloy freezing range", 
      "liquid solid interface", 
      "liquid diffusion coefficient", 
      "non-equilibrium occurs", 
      "dendritic growth theories", 
      "rapid solidification", 
      "solidification rate", 
      "microstructure formation", 
      "non-equilibrium interface conditions", 
      "freezing range", 
      "Peclet number", 
      "solute redistribution", 
      "solid interface", 
      "interfacial equilibrium", 
      "interface conditions", 
      "solidification", 
      "undercooled melt", 
      "length scales", 
      "alloy", 
      "undercooling", 
      "diffusion coefficient", 
      "velocity", 
      "dendritic growth", 
      "microstructure", 
      "analytical expressions", 
      "zone boundary", 
      "interface", 
      "temperature", 
      "melt", 
      "conditions", 
      "boundaries", 
      "coefficient", 
      "growth rate", 
      "parameter v", 
      "modification", 
      "different degrees", 
      "growth theory", 
      "rate", 
      "range", 
      "order", 
      "theory", 
      "model", 
      "composition", 
      "redistribution", 
      "formation", 
      "occurs", 
      "equilibrium", 
      "scale", 
      "assumption", 
      "degree", 
      "growth", 
      "fact", 
      "important consequences", 
      "number", 
      "function", 
      "topic", 
      "relatinship", 
      "interpretation", 
      "consequences", 
      "hierarchy", 
      "expression", 
      "intermediate veloicities", 
      "veloicities", 
      "solute Peclet number", 
      "V1/2D", 
      "relevant microstruetural length scale", 
      "microstruetural length scale", 
      "alloy dendritic growth theory"
    ], 
    "name": "Microstructure Formation in Rapidly Solidified Alloys", 
    "pagination": "81-109", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1001658689"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-94-009-4456-5_5"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-94-009-4456-5_5", 
      "https://app.dimensions.ai/details/publication/pub.1001658689"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-01-01T19:27", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/chapter/chapter_58.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-94-009-4456-5_5"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-94-009-4456-5_5'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-94-009-4456-5_5'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-94-009-4456-5_5'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-94-009-4456-5_5'


 

This table displays all metadata directly associated to this object as RDF triples.

149 TRIPLES      23 PREDICATES      98 URIs      91 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-94-009-4456-5_5 schema:about anzsrc-for:09
2 anzsrc-for:0912
3 schema:author N577b44f9f3ff45098c311ba9b6569c62
4 schema:datePublished 1986
5 schema:datePublishedReg 1986-01-01
6 schema:description In order to apply solidification theory to the interpretation of micro- structures produced by rapid solidification, several modifications are required. Different degrees of non-equilibrium occur during solidification and constitute a hierarchy which is followed with increasing solidification rate. Analytical expressions are given for a model of non-equilibrium interface conditions which describe the temperatures and compositions at the liquid solid interface as a function of solidification velocity. For solidification at intermediate veloicities (≃10 cm/s) the assumption of local interfacial equilibrium remains valid but microstructures are often produced under conditions where the solute Peclet number Pc= V1/2D, is greater than one. The parameters V, 1 and D are the solidification velocity, relevant microstruetural length scale and liquid diffusion coefficient respectively. This fact requires that several topics in solidification theory be modified. Such a modification is presented for alloy dendritic growth theory. For alloys solidifying dendritically into undercooled melts, solute redistribution dominates the relatinship between growth rate and initial undercooling when the initial undercooling is smaller than the alloy freezing range (difference between liquidus and solidus temperatures). This fact has several important consequences for the eutectic coupled zone boundaries and for arrayed dendritic growth.
7 schema:editor N04773060966f411d8768940687984b9e
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf Ndcf254ef7efd471aa325bfdc22e12ba3
12 schema:keywords Peclet number
13 V1/2D
14 alloy
15 alloy dendritic growth theory
16 alloy freezing range
17 analytical expressions
18 assumption
19 boundaries
20 coefficient
21 composition
22 conditions
23 consequences
24 degree
25 dendritic growth
26 dendritic growth theories
27 different degrees
28 diffusion coefficient
29 equilibrium
30 expression
31 fact
32 formation
33 freezing range
34 function
35 growth
36 growth rate
37 growth theory
38 hierarchy
39 important consequences
40 initial undercooling
41 interface
42 interface conditions
43 interfacial equilibrium
44 intermediate veloicities
45 interpretation
46 length scales
47 liquid diffusion coefficient
48 liquid solid interface
49 local interfacial equilibrium
50 melt
51 microstructure
52 microstructure formation
53 microstruetural length scale
54 model
55 modification
56 non-equilibrium interface conditions
57 non-equilibrium occurs
58 number
59 occurs
60 order
61 parameter v
62 range
63 rapid solidification
64 rate
65 redistribution
66 relatinship
67 relevant microstruetural length scale
68 scale
69 solid interface
70 solidification
71 solidification rate
72 solidification theory
73 solidification velocity
74 solute Peclet number
75 solute redistribution
76 temperature
77 theory
78 topic
79 undercooled melt
80 undercooling
81 velocity
82 veloicities
83 zone boundary
84 schema:name Microstructure Formation in Rapidly Solidified Alloys
85 schema:pagination 81-109
86 schema:productId N2d79c1942d7846c185ae9d7a13a3b0c3
87 Ncc91af1d08044972a5d495f4fa29499b
88 schema:publisher Nd5f09f22f67f42148f5b7cc855e94fed
89 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001658689
90 https://doi.org/10.1007/978-94-009-4456-5_5
91 schema:sdDatePublished 2022-01-01T19:27
92 schema:sdLicense https://scigraph.springernature.com/explorer/license/
93 schema:sdPublisher N346cd9143dfa491d9a61f982a133a7a2
94 schema:url https://doi.org/10.1007/978-94-009-4456-5_5
95 sgo:license sg:explorer/license/
96 sgo:sdDataset chapters
97 rdf:type schema:Chapter
98 N04773060966f411d8768940687984b9e rdf:first N6b49023380b943c59711faea8e49aad9
99 rdf:rest N95290094960847c2a52214368d93baa9
100 N04d64a3e39d144ce8b5358a04f430f46 schema:familyName Jones
101 schema:givenName H.
102 rdf:type schema:Person
103 N2d79c1942d7846c185ae9d7a13a3b0c3 schema:name doi
104 schema:value 10.1007/978-94-009-4456-5_5
105 rdf:type schema:PropertyValue
106 N346cd9143dfa491d9a61f982a133a7a2 schema:name Springer Nature - SN SciGraph project
107 rdf:type schema:Organization
108 N577b44f9f3ff45098c311ba9b6569c62 rdf:first sg:person.013276032373.22
109 rdf:rest N7ff6c52d71e44d76826c9bd100a87888
110 N6b49023380b943c59711faea8e49aad9 schema:familyName Sahm
111 schema:givenName P. R.
112 rdf:type schema:Person
113 N7ff6c52d71e44d76826c9bd100a87888 rdf:first sg:person.07440110737.29
114 rdf:rest rdf:nil
115 N95290094960847c2a52214368d93baa9 rdf:first N04d64a3e39d144ce8b5358a04f430f46
116 rdf:rest Nef6387c7dedb4659af466c877408f410
117 Ncbc92ec8704f45248171988dc21fe239 schema:familyName Adam
118 schema:givenName C. M.
119 rdf:type schema:Person
120 Ncc91af1d08044972a5d495f4fa29499b schema:name dimensions_id
121 schema:value pub.1001658689
122 rdf:type schema:PropertyValue
123 Nd5f09f22f67f42148f5b7cc855e94fed schema:name Springer Nature
124 rdf:type schema:Organisation
125 Ndcf254ef7efd471aa325bfdc22e12ba3 schema:isbn 978-94-009-4456-5
126 978-94-010-8483-3
127 schema:name Science and Technology of the Undercooled Melt
128 rdf:type schema:Book
129 Nef6387c7dedb4659af466c877408f410 rdf:first Ncbc92ec8704f45248171988dc21fe239
130 rdf:rest rdf:nil
131 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
132 schema:name Engineering
133 rdf:type schema:DefinedTerm
134 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
135 schema:name Materials Engineering
136 rdf:type schema:DefinedTerm
137 sg:person.013276032373.22 schema:affiliation grid-institutes:grid.94225.38
138 schema:familyName Boettinger
139 schema:givenName W. J.
140 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013276032373.22
141 rdf:type schema:Person
142 sg:person.07440110737.29 schema:affiliation grid-institutes:grid.94225.38
143 schema:familyName Coriell
144 schema:givenName S. R.
145 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07440110737.29
146 rdf:type schema:Person
147 grid-institutes:grid.94225.38 schema:alternateName Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA
148 schema:name Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA
149 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...