Crack fusion as a model for repetitive seismicity View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1983-05

AUTHORS

L. Knopoff, W. I. Newman

ABSTRACT

A renormalization group treatment of a skeletal, hierarchical model of crack fusion and suturing yields the experimental stress versus time-to-fracture law. We construct a model that eliminates the intervening size states in the hierarchy but retains the time delay that represents the time-to-fracture observations. We add a source term to replenish microcracks lost by promotion due to fusion. The system is found to be stable for all values of time delay if the rate of replenishment is steady. If we allow the rate of replenishment of microcracks to be coupled to the rate of appearance of the largest size cracks, which we interpret as large-scale seismicity, then a Hopf bifurcation appears and the system is describable as a limit cycle attractor. More... »

PAGES

495-510

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02590153

DOI

http://dx.doi.org/10.1007/bf02590153

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016222957


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/04", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Earth Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0103", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Numerical and Computational Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0404", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Geophysics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, California, USA", 
          "id": "http://www.grid.ac/institutes/grid.19006.3e", 
          "name": [
            "Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, California, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Knopoff", 
        "givenName": "L.", 
        "id": "sg:person.016534500761.19", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016534500761.19"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Earth and Space Sciences, University of California, 90024, Los Angeles, California, USA", 
          "id": "http://www.grid.ac/institutes/grid.19006.3e", 
          "name": [
            "Department of Earth and Space Sciences, University of California, 90024, Los Angeles, California, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Newman", 
        "givenName": "W. I.", 
        "id": "sg:person.014275640212.53", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014275640212.53"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1038/297047a0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013684870", 
          "https://doi.org/10.1038/297047a0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02590150", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009390519", 
          "https://doi.org/10.1007/bf02590150"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/156055b0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037106212", 
          "https://doi.org/10.1038/156055b0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf03545562", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1126627860", 
          "https://doi.org/10.1007/bf03545562"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1983-05", 
    "datePublishedReg": "1983-05-01", 
    "description": "A renormalization group treatment of a skeletal, hierarchical model of crack fusion and suturing yields the experimental stress versus time-to-fracture law. We construct a model that eliminates the intervening size states in the hierarchy but retains the time delay that represents the time-to-fracture observations. We add a source term to replenish microcracks lost by promotion due to fusion. The system is found to be stable for all values of time delay if the rate of replenishment is steady. If we allow the rate of replenishment of microcracks to be coupled to the rate of appearance of the largest size cracks, which we interpret as large-scale seismicity, then a Hopf bifurcation appears and the system is describable as a limit cycle attractor.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/bf02590153", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136817", 
        "issn": [
          "0033-4553", 
          "1420-9136"
        ], 
        "name": "Pure and Applied Geophysics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "121"
      }
    ], 
    "keywords": [
      "fracture law", 
      "fracture observations", 
      "large size cracks", 
      "size cracks", 
      "time delay", 
      "source term", 
      "microcracks", 
      "model", 
      "experimental stress", 
      "system", 
      "rate of replenishment", 
      "cracks", 
      "seismicity", 
      "fusion", 
      "yield", 
      "stress", 
      "time", 
      "law", 
      "delay", 
      "observations", 
      "terms", 
      "values", 
      "rate", 
      "replenishment", 
      "Hopf bifurcation", 
      "bifurcation", 
      "limit cycle attractor", 
      "renormalization group treatment", 
      "group treatment", 
      "treatment", 
      "hierarchical model", 
      "state", 
      "hierarchy", 
      "rate of appearance", 
      "appearance", 
      "cycle attractor", 
      "attractors", 
      "promotion"
    ], 
    "name": "Crack fusion as a model for repetitive seismicity", 
    "pagination": "495-510", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1016222957"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02590153"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02590153", 
      "https://app.dimensions.ai/details/publication/pub.1016222957"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-11-24T20:45", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20221124/entities/gbq_results/article/article_158.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/bf02590153"
  }
]
 

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/bf02590153'

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/bf02590153'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02590153'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02590153'


 

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

128 TRIPLES      21 PREDICATES      69 URIs      55 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02590153 schema:about anzsrc-for:01
2 anzsrc-for:0103
3 anzsrc-for:04
4 anzsrc-for:0404
5 schema:author Nbf9d72cac19d47f9b7ee08b7feb326b3
6 schema:citation sg:pub.10.1007/bf02590150
7 sg:pub.10.1007/bf03545562
8 sg:pub.10.1038/156055b0
9 sg:pub.10.1038/297047a0
10 schema:datePublished 1983-05
11 schema:datePublishedReg 1983-05-01
12 schema:description A renormalization group treatment of a skeletal, hierarchical model of crack fusion and suturing yields the experimental stress versus time-to-fracture law. We construct a model that eliminates the intervening size states in the hierarchy but retains the time delay that represents the time-to-fracture observations. We add a source term to replenish microcracks lost by promotion due to fusion. The system is found to be stable for all values of time delay if the rate of replenishment is steady. If we allow the rate of replenishment of microcracks to be coupled to the rate of appearance of the largest size cracks, which we interpret as large-scale seismicity, then a Hopf bifurcation appears and the system is describable as a limit cycle attractor.
13 schema:genre article
14 schema:isAccessibleForFree false
15 schema:isPartOf Nca714973d2924d8b85e26e8aba5fe5cd
16 Ne6b5a47cc1ab48e3a5eaadc1ddb2076c
17 sg:journal.1136817
18 schema:keywords Hopf bifurcation
19 appearance
20 attractors
21 bifurcation
22 cracks
23 cycle attractor
24 delay
25 experimental stress
26 fracture law
27 fracture observations
28 fusion
29 group treatment
30 hierarchical model
31 hierarchy
32 large size cracks
33 law
34 limit cycle attractor
35 microcracks
36 model
37 observations
38 promotion
39 rate
40 rate of appearance
41 rate of replenishment
42 renormalization group treatment
43 replenishment
44 seismicity
45 size cracks
46 source term
47 state
48 stress
49 system
50 terms
51 time
52 time delay
53 treatment
54 values
55 yield
56 schema:name Crack fusion as a model for repetitive seismicity
57 schema:pagination 495-510
58 schema:productId N7c2f66a06e4f48b2ade021a37d0cfadf
59 Nb4ced4a3a3f847ca817eab4b252ab9ff
60 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016222957
61 https://doi.org/10.1007/bf02590153
62 schema:sdDatePublished 2022-11-24T20:45
63 schema:sdLicense https://scigraph.springernature.com/explorer/license/
64 schema:sdPublisher Nff86da33c2184294824b789b48c828ac
65 schema:url https://doi.org/10.1007/bf02590153
66 sgo:license sg:explorer/license/
67 sgo:sdDataset articles
68 rdf:type schema:ScholarlyArticle
69 N39f050ac7a324d48bc87d61b09010a43 rdf:first sg:person.014275640212.53
70 rdf:rest rdf:nil
71 N7c2f66a06e4f48b2ade021a37d0cfadf schema:name doi
72 schema:value 10.1007/bf02590153
73 rdf:type schema:PropertyValue
74 Nb4ced4a3a3f847ca817eab4b252ab9ff schema:name dimensions_id
75 schema:value pub.1016222957
76 rdf:type schema:PropertyValue
77 Nbf9d72cac19d47f9b7ee08b7feb326b3 rdf:first sg:person.016534500761.19
78 rdf:rest N39f050ac7a324d48bc87d61b09010a43
79 Nca714973d2924d8b85e26e8aba5fe5cd schema:issueNumber 3
80 rdf:type schema:PublicationIssue
81 Ne6b5a47cc1ab48e3a5eaadc1ddb2076c schema:volumeNumber 121
82 rdf:type schema:PublicationVolume
83 Nff86da33c2184294824b789b48c828ac schema:name Springer Nature - SN SciGraph project
84 rdf:type schema:Organization
85 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
86 schema:name Mathematical Sciences
87 rdf:type schema:DefinedTerm
88 anzsrc-for:0103 schema:inDefinedTermSet anzsrc-for:
89 schema:name Numerical and Computational Mathematics
90 rdf:type schema:DefinedTerm
91 anzsrc-for:04 schema:inDefinedTermSet anzsrc-for:
92 schema:name Earth Sciences
93 rdf:type schema:DefinedTerm
94 anzsrc-for:0404 schema:inDefinedTermSet anzsrc-for:
95 schema:name Geophysics
96 rdf:type schema:DefinedTerm
97 sg:journal.1136817 schema:issn 0033-4553
98 1420-9136
99 schema:name Pure and Applied Geophysics
100 schema:publisher Springer Nature
101 rdf:type schema:Periodical
102 sg:person.014275640212.53 schema:affiliation grid-institutes:grid.19006.3e
103 schema:familyName Newman
104 schema:givenName W. I.
105 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014275640212.53
106 rdf:type schema:Person
107 sg:person.016534500761.19 schema:affiliation grid-institutes:grid.19006.3e
108 schema:familyName Knopoff
109 schema:givenName L.
110 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016534500761.19
111 rdf:type schema:Person
112 sg:pub.10.1007/bf02590150 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009390519
113 https://doi.org/10.1007/bf02590150
114 rdf:type schema:CreativeWork
115 sg:pub.10.1007/bf03545562 schema:sameAs https://app.dimensions.ai/details/publication/pub.1126627860
116 https://doi.org/10.1007/bf03545562
117 rdf:type schema:CreativeWork
118 sg:pub.10.1038/156055b0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037106212
119 https://doi.org/10.1038/156055b0
120 rdf:type schema:CreativeWork
121 sg:pub.10.1038/297047a0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013684870
122 https://doi.org/10.1038/297047a0
123 rdf:type schema:CreativeWork
124 grid-institutes:grid.19006.3e schema:alternateName Department of Earth and Space Sciences, University of California, 90024, Los Angeles, California, USA
125 Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, California, USA
126 schema:name Department of Earth and Space Sciences, University of California, 90024, Los Angeles, California, USA
127 Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, California, USA
128 rdf:type schema:Organization
 




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


...