Fracture of a Liquefied Crack and the Physics of Rayleigh Waves View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2006

AUTHORS

L. Knopoff , J.A. Landoni

ABSTRACT

The standard free-surface boundary conditions for in-plane crack dynamics are shown to be identical to the conditions for crack dynamics on a liquefied crack. The surfaces of both the free and liquefied cracks do not separate during faulting and hence the static normal stress is not relaxed by the faulting. A crack with either free or liquid boundary conditions deforms in the transverse direction during slip. It follows that both the free and liquefied cracks may represent solutions to the heat-flow paradox. As an application of the proof, we derive a physical understanding of the properties of harmonic Rayleigh waves on a uniform elastic half-space without solving a cubic equation. More... »

PAGES

1741-1750

Book

TITLE

Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I

ISBN

978-3-7643-7991-9
978-3-7643-7992-6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-7643-7992-6_2

DOI

http://dx.doi.org/10.1007/978-3-7643-7992-6_2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1029360348


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/2008/0915", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Interdisciplinary Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Physics and Astronomy, University of California, 90095, Los Angeles, CA, USA", 
          "id": "http://www.grid.ac/institutes/grid.19006.3e", 
          "name": [
            "Institute of Geophysics and Planetary Physics, University of California, 90095, Los Angeles, CA, USA", 
            "Department of Physics and Astronomy, University of California, 90095, Los Angeles, CA, 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": "Institute of Geophysics and Planetary Physics, University of California, 90095, Los Angeles, CA, USA", 
          "id": "http://www.grid.ac/institutes/grid.19006.3e", 
          "name": [
            "Institute of Geophysics and Planetary Physics, University of California, 90095, Los Angeles, CA, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Landoni", 
        "givenName": "J.A.", 
        "id": "sg:person.015163221440.50", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015163221440.50"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2006", 
    "datePublishedReg": "2006-01-01", 
    "description": "The standard free-surface boundary conditions for in-plane crack dynamics are shown to be identical to the conditions for crack dynamics on a liquefied crack. The surfaces of both the free and liquefied cracks do not separate during faulting and hence the static normal stress is not relaxed by the faulting. A crack with either free or liquid boundary conditions deforms in the transverse direction during slip. It follows that both the free and liquefied cracks may represent solutions to the heat-flow paradox. As an application of the proof, we derive a physical understanding of the properties of harmonic Rayleigh waves on a uniform elastic half-space without solving a cubic equation.", 
    "editor": [
      {
        "familyName": "Yin", 
        "givenName": "Xiang-chu", 
        "type": "Person"
      }, 
      {
        "familyName": "Mora", 
        "givenName": "Peter", 
        "type": "Person"
      }, 
      {
        "familyName": "Donnellan", 
        "givenName": "Andrea", 
        "type": "Person"
      }, 
      {
        "familyName": "Matsu\u2019ura", 
        "givenName": "Mitsuhiro", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-7643-7992-6_2", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-7643-7991-9", 
        "978-3-7643-7992-6"
      ], 
      "name": "Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I", 
      "type": "Book"
    }, 
    "keywords": [
      "crack dynamics", 
      "free surface boundary conditions", 
      "Rayleigh waves", 
      "static normal stress", 
      "liquid boundary condition", 
      "harmonic Rayleigh waves", 
      "boundary conditions", 
      "heat flow paradox", 
      "normal stress", 
      "cracks", 
      "transverse direction", 
      "physical understanding", 
      "cubic equation", 
      "waves", 
      "slip", 
      "conditions", 
      "surface", 
      "properties", 
      "dynamics", 
      "applications", 
      "equations", 
      "fractures", 
      "stress", 
      "solution", 
      "direction", 
      "faulting", 
      "physics", 
      "proof", 
      "understanding", 
      "paradox"
    ], 
    "name": "Fracture of a Liquefied Crack and the Physics of Rayleigh Waves", 
    "pagination": "1741-1750", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1029360348"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-7643-7992-6_2"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-7643-7992-6_2", 
      "https://app.dimensions.ai/details/publication/pub.1029360348"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-11-24T21:16", 
    "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_351.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-3-7643-7992-6_2"
  }
]
 

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.10.1007/978-3-7643-7992-6_2'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-7643-7992-6_2'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-7643-7992-6_2'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-7643-7992-6_2'


 

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

113 TRIPLES      22 PREDICATES      55 URIs      48 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-7643-7992-6_2 schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author N81aac434878b4ad3b1abd3054f2a28c7
4 schema:datePublished 2006
5 schema:datePublishedReg 2006-01-01
6 schema:description The standard free-surface boundary conditions for in-plane crack dynamics are shown to be identical to the conditions for crack dynamics on a liquefied crack. The surfaces of both the free and liquefied cracks do not separate during faulting and hence the static normal stress is not relaxed by the faulting. A crack with either free or liquid boundary conditions deforms in the transverse direction during slip. It follows that both the free and liquefied cracks may represent solutions to the heat-flow paradox. As an application of the proof, we derive a physical understanding of the properties of harmonic Rayleigh waves on a uniform elastic half-space without solving a cubic equation.
7 schema:editor Nc4a89941faf4453e9c7f2fdd25c5542d
8 schema:genre chapter
9 schema:isAccessibleForFree false
10 schema:isPartOf N8002df233e31429f8a667279af1e38fc
11 schema:keywords Rayleigh waves
12 applications
13 boundary conditions
14 conditions
15 crack dynamics
16 cracks
17 cubic equation
18 direction
19 dynamics
20 equations
21 faulting
22 fractures
23 free surface boundary conditions
24 harmonic Rayleigh waves
25 heat flow paradox
26 liquid boundary condition
27 normal stress
28 paradox
29 physical understanding
30 physics
31 proof
32 properties
33 slip
34 solution
35 static normal stress
36 stress
37 surface
38 transverse direction
39 understanding
40 waves
41 schema:name Fracture of a Liquefied Crack and the Physics of Rayleigh Waves
42 schema:pagination 1741-1750
43 schema:productId N2daaaaed206d44b3959df6dd54d1318a
44 N3b2031ea2a1044b6a2251b2181f89165
45 schema:publisher N17f5299215de4cad9779429b56f0a8ca
46 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029360348
47 https://doi.org/10.1007/978-3-7643-7992-6_2
48 schema:sdDatePublished 2022-11-24T21:16
49 schema:sdLicense https://scigraph.springernature.com/explorer/license/
50 schema:sdPublisher Na9df25d102f342ecb72f8b831f7d8934
51 schema:url https://doi.org/10.1007/978-3-7643-7992-6_2
52 sgo:license sg:explorer/license/
53 sgo:sdDataset chapters
54 rdf:type schema:Chapter
55 N0b6dbee7347b4763a0a6f46ebf137c18 rdf:first N998933b877f14f9b92990a9dc432d74f
56 rdf:rest N67be22e839a1478ca4ff7d6255d1a4ae
57 N17f5299215de4cad9779429b56f0a8ca schema:name Springer Nature
58 rdf:type schema:Organisation
59 N2daaaaed206d44b3959df6dd54d1318a schema:name dimensions_id
60 schema:value pub.1029360348
61 rdf:type schema:PropertyValue
62 N32596b2c4efa4be58dcdb5e7f1b24f4c schema:familyName Yin
63 schema:givenName Xiang-chu
64 rdf:type schema:Person
65 N3b2031ea2a1044b6a2251b2181f89165 schema:name doi
66 schema:value 10.1007/978-3-7643-7992-6_2
67 rdf:type schema:PropertyValue
68 N512c65c77a054ce782b60ae9a9d20af4 rdf:first sg:person.015163221440.50
69 rdf:rest rdf:nil
70 N67be22e839a1478ca4ff7d6255d1a4ae rdf:first Nbc4d6bddcc4e4792820eced88f484b8a
71 rdf:rest Nb2be4820547f4de3acfe5a5fe486e90c
72 N8002df233e31429f8a667279af1e38fc schema:isbn 978-3-7643-7991-9
73 978-3-7643-7992-6
74 schema:name Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I
75 rdf:type schema:Book
76 N81aac434878b4ad3b1abd3054f2a28c7 rdf:first sg:person.016534500761.19
77 rdf:rest N512c65c77a054ce782b60ae9a9d20af4
78 N998933b877f14f9b92990a9dc432d74f schema:familyName Mora
79 schema:givenName Peter
80 rdf:type schema:Person
81 Na9df25d102f342ecb72f8b831f7d8934 schema:name Springer Nature - SN SciGraph project
82 rdf:type schema:Organization
83 Nb2be4820547f4de3acfe5a5fe486e90c rdf:first Nf23ebbc3f7734b9e875fd5e2910f5555
84 rdf:rest rdf:nil
85 Nbc4d6bddcc4e4792820eced88f484b8a schema:familyName Donnellan
86 schema:givenName Andrea
87 rdf:type schema:Person
88 Nc4a89941faf4453e9c7f2fdd25c5542d rdf:first N32596b2c4efa4be58dcdb5e7f1b24f4c
89 rdf:rest N0b6dbee7347b4763a0a6f46ebf137c18
90 Nf23ebbc3f7734b9e875fd5e2910f5555 schema:familyName Matsu’ura
91 schema:givenName Mitsuhiro
92 rdf:type schema:Person
93 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
94 schema:name Engineering
95 rdf:type schema:DefinedTerm
96 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
97 schema:name Interdisciplinary Engineering
98 rdf:type schema:DefinedTerm
99 sg:person.015163221440.50 schema:affiliation grid-institutes:grid.19006.3e
100 schema:familyName Landoni
101 schema:givenName J.A.
102 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015163221440.50
103 rdf:type schema:Person
104 sg:person.016534500761.19 schema:affiliation grid-institutes:grid.19006.3e
105 schema:familyName Knopoff
106 schema:givenName L.
107 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016534500761.19
108 rdf:type schema:Person
109 grid-institutes:grid.19006.3e schema:alternateName Department of Physics and Astronomy, University of California, 90095, Los Angeles, CA, USA
110 Institute of Geophysics and Planetary Physics, University of California, 90095, Los Angeles, CA, USA
111 schema:name Department of Physics and Astronomy, University of California, 90095, Los Angeles, CA, USA
112 Institute of Geophysics and Planetary Physics, University of California, 90095, Los Angeles, CA, USA
113 rdf:type schema:Organization
 




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


...