Crack Fusion as a Model for Repetitive Seismicity View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1983

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

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-0348-6608-8_9

DOI

http://dx.doi.org/10.1007/978-3-0348-6608-8_9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027316174


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/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0202", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
        "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"
      }
    ], 
    "datePublished": "1983", 
    "datePublishedReg": "1983-01-01", 
    "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.", 
    "editor": [
      {
        "familyName": "Knopoff", 
        "givenName": "L.", 
        "type": "Person"
      }, 
      {
        "familyName": "Keilis-Borok", 
        "givenName": "V. I.", 
        "type": "Person"
      }, 
      {
        "familyName": "Puppi", 
        "givenName": "G.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-0348-6608-8_9", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-0348-6609-5", 
        "978-3-0348-6608-8"
      ], 
      "name": "Instabilities in Continuous Media", 
      "type": "Book"
    }, 
    "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.1027316174"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-0348-6608-8_9"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-0348-6608-8_9", 
      "https://app.dimensions.ai/details/publication/pub.1027316174"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-11-24T21:20", 
    "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/chapter/chapter_86.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-3-0348-6608-8_9"
  }
]
 

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.10.1007/978-3-0348-6608-8_9'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-6608-8_9'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-6608-8_9'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-6608-8_9'


 

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

116 TRIPLES      22 PREDICATES      63 URIs      56 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-0348-6608-8_9 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author N4ad20200afca4099a18fb697bdfcd723
4 schema:datePublished 1983
5 schema:datePublishedReg 1983-01-01
6 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.
7 schema:editor N3bddf97a741d4ae7ae0994f3e2074f9f
8 schema:genre chapter
9 schema:isAccessibleForFree false
10 schema:isPartOf N5a1442b765c046c3a7e7addd24a0bfa9
11 schema:keywords Hopf bifurcation
12 appearance
13 attractors
14 bifurcation
15 cracks
16 cycle attractor
17 delay
18 experimental stress
19 fracture law
20 fracture observations
21 fusion
22 group treatment
23 hierarchical model
24 hierarchy
25 large size cracks
26 law
27 limit cycle attractor
28 microcracks
29 model
30 observations
31 promotion
32 rate
33 rate of appearance
34 rate of replenishment
35 renormalization group treatment
36 replenishment
37 seismicity
38 size cracks
39 source term
40 state
41 stress
42 system
43 terms
44 time
45 time delay
46 treatment
47 values
48 yield
49 schema:name Crack Fusion as a Model for Repetitive Seismicity
50 schema:pagination 495-510
51 schema:productId N4395d2b6bbc64c3fbfddba3d5b2a4944
52 Nb2019d5056014132ad94632dc0385000
53 schema:publisher Ncd78cc22688745b5990ff832b05d2054
54 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027316174
55 https://doi.org/10.1007/978-3-0348-6608-8_9
56 schema:sdDatePublished 2022-11-24T21:20
57 schema:sdLicense https://scigraph.springernature.com/explorer/license/
58 schema:sdPublisher N802e0becbc244aa6a3c62cc20d591b87
59 schema:url https://doi.org/10.1007/978-3-0348-6608-8_9
60 sgo:license sg:explorer/license/
61 sgo:sdDataset chapters
62 rdf:type schema:Chapter
63 N02f6c105ad3c4f119b1ccb0e4a0b6cef rdf:first N926dd661f7d24c9bb804d27fbb5d2dfc
64 rdf:rest N7e8ca2a395e146598ca56eb7c897ba8a
65 N1e28f93b644c4c0d959a99154115a0f3 schema:familyName Puppi
66 schema:givenName G.
67 rdf:type schema:Person
68 N3bddf97a741d4ae7ae0994f3e2074f9f rdf:first Nd45b70e619784611a28012764c13115e
69 rdf:rest N02f6c105ad3c4f119b1ccb0e4a0b6cef
70 N4395d2b6bbc64c3fbfddba3d5b2a4944 schema:name doi
71 schema:value 10.1007/978-3-0348-6608-8_9
72 rdf:type schema:PropertyValue
73 N4ad20200afca4099a18fb697bdfcd723 rdf:first sg:person.016534500761.19
74 rdf:rest N61bf956baa2c4d72bb5f47fd2faab960
75 N5a1442b765c046c3a7e7addd24a0bfa9 schema:isbn 978-3-0348-6608-8
76 978-3-0348-6609-5
77 schema:name Instabilities in Continuous Media
78 rdf:type schema:Book
79 N61bf956baa2c4d72bb5f47fd2faab960 rdf:first sg:person.014275640212.53
80 rdf:rest rdf:nil
81 N7e8ca2a395e146598ca56eb7c897ba8a rdf:first N1e28f93b644c4c0d959a99154115a0f3
82 rdf:rest rdf:nil
83 N802e0becbc244aa6a3c62cc20d591b87 schema:name Springer Nature - SN SciGraph project
84 rdf:type schema:Organization
85 N926dd661f7d24c9bb804d27fbb5d2dfc schema:familyName Keilis-Borok
86 schema:givenName V. I.
87 rdf:type schema:Person
88 Nb2019d5056014132ad94632dc0385000 schema:name dimensions_id
89 schema:value pub.1027316174
90 rdf:type schema:PropertyValue
91 Ncd78cc22688745b5990ff832b05d2054 schema:name Springer Nature
92 rdf:type schema:Organisation
93 Nd45b70e619784611a28012764c13115e schema:familyName Knopoff
94 schema:givenName L.
95 rdf:type schema:Person
96 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
97 schema:name Physical Sciences
98 rdf:type schema:DefinedTerm
99 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
100 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
101 rdf:type schema:DefinedTerm
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 grid-institutes:grid.19006.3e schema:alternateName Department of Earth and Space Sciences, University of California, 90024, Los Angeles, California, USA
113 Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, California, USA
114 schema:name Department of Earth and Space Sciences, University of California, 90024, Los Angeles, California, USA
115 Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, California, USA
116 rdf:type schema:Organization
 




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


...