<?xml version="1.0" encoding="UTF-8"?>
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" dtd-version="1.4" article-type="research-article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-10188</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/10188</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Без раздела</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Without section</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">About structural-temporal approach in analyzing dynamic fracture of brittle rocks</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>О структурно-временном подходе при анализе динамического разрушения хрупких горных пород</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Morozov</surname>
            <given-names>N. F.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Морозов</surname>
              <given-names>Н. Ф.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Morozov</surname>
              <given-names>N. F.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru"> (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en"> (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Petrov</surname>
            <given-names>Yu. V.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Петров</surname>
              <given-names>Ю. В.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Petrov</surname>
              <given-names>Yu. V.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru"> (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en"> (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Utkin</surname>
            <given-names>A. A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Уткин</surname>
              <given-names>А. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Utkin</surname>
              <given-names>A. A.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru"> (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en"> (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="1991-11-28">
        <day>28</day>
        <month>11</month>
        <year>1991</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1991</year>
      </pub-date>
      <volume>125</volume>
      <fpage>78</fpage>
      <lpage>86</lpage>
      <history>
        <date date-type="received" iso-8601-date="1990-08-26">
          <day>26</day>
          <month>08</month>
          <year>1990</year>
        </date>
        <date date-type="accepted" iso-8601-date="1990-10-03">
          <day>03</day>
          <month>10</month>
          <year>1990</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1991-11-28">
          <day>28</day>
          <month>11</month>
          <year>1991</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© N. F. Morozov, Yu. V. Petrov, A. A. Utkin</copyright-statement>
        <copyright-year>1991</copyright-year>
        <copyright-holder xml:lang="ru">Н. Ф. Морозов, Ю. В. Петров, А. А. Уткин</copyright-holder>
        <copyright-holder xml:lang="en">N. F. Morozov, Yu. V. Petrov, A. A. Utkin</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0">
          <license-p>CC BY 4.0</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/10188">https://pmi.spmi.ru/pmi/article/view/10188</self-uri>
      <abstract xml:lang="ru">
        <p>Многие способы моделирования эффектов динамического разрушения связывают их непосредственно с неупругой реологией и развитием микротрещин.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Many ways of modeling dynamic fracture effects relate them directly to inelastic rheology and microcrack development.</p>
      </abstract>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Морозов Н.Ф. Математические вопросы теории трещин. М.: Наука, 1984.</mixed-citation>
        <mixed-citation xml:lang="en">Morozov N.F. Mathematical questions of crack theory. Moscow: Nauka, 1984.</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Морозов Н.Ф., Петров Ю.В., Уткин А.А. О разрушении у вершины трещины при ударном нагружении // Физико—химическая механика материалов. 1988. № 4.</mixed-citation>
        <mixed-citation xml:lang="en">Morozov N.F., Petrov Yu.V., Utkin A.A. About fracture at the crack tip under shock loading // Physico-Chemical Mechanics of Materials. 1988. № 4.</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Ней6ер Г. Концентрация напряжений. М.: ОГИЗ, 1947.</mixed-citation>
        <mixed-citation xml:lang="en">Neiber G. Concentration of Stresses. M.: OGIZ, 1947.</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Никифоровский B.C. О кинетическом характере xpyпкого разрушения твердых тел // Прикладная математика и теоретическая физика. 1976. № 5.</mixed-citation>
        <mixed-citation xml:lang="en">Nikiforovskiy V.S. On the Kinetic Character of Brittle Fracture of Solid Bodies // Applied Mathematics and Theoretical Physics. 1976. № 5.</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Никифоровский B.C., Шемякин Е.И. Динамическое разрушение твердых тел. Новосибирск: Наука, 1979.</mixed-citation>
        <mixed-citation xml:lang="en">Nikiforovskiy V.S., Shemyakin E.I. Dynamic Fracture of Solids. Novosibirsk: Nauka, 1979.</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Новожилов В.В. О необходимом и достаточном критерии хрупкой прочности // Прикладная математика и механика. 1969, Т. 33. № 2.</mixed-citation>
        <mixed-citation xml:lang="en">Novozhilov V.V. About Necessary and Sufficient Criterion of Brittle Strength // Applied Mathematics and Mechanics. 1969, V. 33. № 2.</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Партон В.З., Борисковский В.Г. Динамическая механика разрушения. М.: Машиностроение, 1985.</mixed-citation>
        <mixed-citation xml:lang="en">Parton V.Z., Boriskovsky V.G. Dynamic Fracture Mechanics. M.: Mashinostroenie, 1985.</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Петров Ю.В., Уткин А.Т. О зависимости динамической прочности от скорости нагружения // Физико-химическая механика материалов, 1989. № 2.</mixed-citation>
        <mixed-citation xml:lang="en">Petrov Y.V., Utkin A.T. On the Dependence of Dynamic Strength on the Rate of Loading // Physico-Chemical Mechanics of Materials, 1989. № 2.</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Broberg К.В. Some aspects of the mechanism of scabbing// Strese Wave ropcqmt. Mater. N.—Y.—L. 1959. lnterscience. 1960.</mixed-citation>
        <mixed-citation xml:lang="en">Broberg К.В. Some aspects of the mechanism of scabbing// Strese Wave ropcqmt. Mater. N.—Y.—L. 1959. lnterscience. 1960.</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Fleund L.B. The analysis of elastodynamic crack tip stress fields // In. S. Nemet-nasser (Ed.) Mechanics Today. V.3. Pergamon Press. New-York, 1976.</mixed-citation>
        <mixed-citation xml:lang="en">Fleund L.B. The analysis of elastodynamic crack tip stress fields // In. S. Nemet-nasser (Ed.) Mechanics Today. V.3. Pergamon Press. New-York, 1976.</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Kalthoff J.F. and Shockey D.A. Instability ot cracks under impulse loads // Journal of Applied Physics. 1977. V.48. № 3.</mixed-citation>
        <mixed-citation xml:lang="en">Kalthoff J.F. and Shockey D.A. Instability ot cracks under impulse loads // Journal of Applied Physics. 1977. V.48. № 3.</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Ma С.С. and Freund L.В. The extent of the stress intensity factor during crack growth under dynamic loading conditions// ASME Journal of Applied Mechanics. 1986. V.53.</mixed-citation>
        <mixed-citation xml:lang="en">Ma С.С. and Freund L.В. The extent of the stress intensity factor during crack growth under dynamic loading conditions// ASME Journal of Applied Mechanics. 1986. V.53.</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Homma H., Shockey D.A. and Hada S. Minimum tone criterion for crack instability in structural materials // In: Fracture Mechanics: Seventeen. Volume. ASTM. Philadelphia. 1986.</mixed-citation>
        <mixed-citation xml:lang="en">Homma H., Shockey D.A. and Hada S. Minimum tone criterion for crack instability in structural materials // In: Fracture Mechanics: Seventeen. Volume. ASTM. Philadelphia. 1986.</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Ravi-Chandar K. and Knauss W.G. An experimental investigation into dynamic fracture: 1. Crack initiation and arrest // Int. J. Fract. 1984. V. 25.</mixed-citation>
        <mixed-citation xml:lang="en">Ravi-Chandar K. and Knauss W.G. An experimental investigation into dynamic fracture: 1. Crack initiation and arrest // Int. J. Fract. 1984. V. 25.</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Seaman L., Curran D.R., Murri W. J. A continuum model for dynamic tensic microfracture and fragmentation // J. of Applied Mechanics. 1985. V. 52.</mixed-citation>
        <mixed-citation xml:lang="en">Seaman L., Curran D.R., Murri W. J. A continuum model for dynamic tensic microfracture and fragmentation // J. of Applied Mechanics. 1985. V. 52.</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
