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  <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-6454</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/6454</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Геомеханика</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Geomechanics</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Implementation of various failure criteria for numerical models of rock mass</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Оценка критериев разрушения для численных моделей горного массива</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Yandris</surname>
            <given-names>M. </given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Яндрис</surname>
              <given-names>М. </given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Yandris</surname>
              <given-names>M. </given-names>
            </name>
          </name-alternatives>
          <email>marek.jendrys@polsl.pl</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Силезский технологический университет (Польша)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Silesian University of Technology (Poland)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Demenkov</surname>
            <given-names>P. A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Деменков</surname>
              <given-names>П. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Demenkov</surname>
              <given-names>P. A.</given-names>
            </name>
          </name-alternatives>
          <email>dem-petr@yandex.ru</email>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский государственный горный институт (технический университет) (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint Petersburg State Mining Institute (Technical University) (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2011-04-05">
        <day>05</day>
        <month>04</month>
        <year>2011</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2011</year>
      </pub-date>
      <volume>190</volume>
      <fpage>225</fpage>
      <lpage>225</lpage>
      <history>
        <date date-type="received" iso-8601-date="2010-08-01">
          <day>01</day>
          <month>08</month>
          <year>2010</year>
        </date>
        <date date-type="accepted" iso-8601-date="2010-10-25">
          <day>25</day>
          <month>10</month>
          <year>2010</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2011-04-05">
          <day>05</day>
          <month>04</month>
          <year>2011</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© M.  Yandris, P. A. Demenkov</copyright-statement>
        <copyright-year>2011</copyright-year>
        <copyright-holder xml:lang="ru">М.  Яндрис, П. А. Деменков</copyright-holder>
        <copyright-holder xml:lang="en">M.  Yandris, P. A. Demenkov</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/6454">https://pmi.spmi.ru/pmi/article/view/6454</self-uri>
      <abstract xml:lang="ru">
        <p>Работа представляет результаты численного моделирования с применением пластических конструктивных моделей с различными критериями разрушения. На языке FISH были разработаны критерии разрушения Балмера и Баландина и применены для моделирования двух основных проблем: сжатие горного образца и сооружение конструкций в горном массиве.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The paper presents results of numerical modeling by application of plastic constitutive models with various failure criteria. The Balmer’s and Balandin’s failure criteria have been elaborated in FISH language and they have been applied to simulate two basic problems which are: compression of rock sample and construction of excavation in rock mass.</p>
      </abstract>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Balmer G.: A general analytical solution for Mohr's envelope. Am. Soc. Test. Mat., 1952.</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Balandin P.P.: K voprosu o gipotezah prochnosti. Vestnik inzhenerov i tehnikow. 1937. N 1.</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Chudek M.: Rock mechanics with the basics of environmental management in the mining areas. Publisher of Silesian Technical University, z. 247. Gliwice, 2010.</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Itasca Consulting Group Inc., FLAC, User’s Guide, Minneapolis, 2002.</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Kawa M., Lydzba D.: Failure criterion of geomaterials with microstructure of layered type. Gornictwo i Geoinzynieria. Krakow, 2008. N 2.</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Kozubal J., Wyjadłowski M.: The notation of condition of plasticity in procedure-oriented language in FLEXPDE and FLAC2D codes. Gornictwo i Geoinzynieria. Krakow, 2008. N 2.</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Kwasniewski M.: Behavior of iso- and anisotropic rocks under triaxial compression conditions. Publisher of Silesian Technical University, z. 247. Gliwice, 2002.</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Sakurai S.: Lessons learned from Fidel measurements in tunneling, Tunnels and Underground Space Technology. Vol.12. 1997. N 4.</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
