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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 pub-id-type="doi">10.31897/pmi.2020.3.348</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-13504</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/13504</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Электромеханика и машиностроение</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Electromechanics and mechanical engineering</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Non-destructive testing of multilayer medium by the method of velocity of elastic waves hodograph</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Неразрушающий контроль многослойных сред методом годографа скорости упругих волн</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Potapov</surname>
            <given-names>Aleksandr I.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Потапов</surname>
              <given-names>А. И.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Potapov</surname>
              <given-names>Aleksandr I.</given-names>
            </name>
          </name-alternatives>
          <email>apot@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-1975-5900</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Kondratev</surname>
            <given-names>Artem V.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Кондратьев</surname>
              <given-names>А. В.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Kondratev</surname>
              <given-names>Artem V.</given-names>
            </name>
          </name-alternatives>
          <email>Kondratev_AV@pers.spmi.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0001-8676-4092</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2020-06-30">
        <day>30</day>
        <month>06</month>
        <year>2020</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2020</year>
      </pub-date>
      <volume>243</volume>
      <fpage>348</fpage>
      <lpage>356</lpage>
      <history>
        <date date-type="received" iso-8601-date="2020-06-15">
          <day>15</day>
          <month>06</month>
          <year>2020</year>
        </date>
        <date date-type="accepted" iso-8601-date="2020-06-15">
          <day>15</day>
          <month>06</month>
          <year>2020</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2020-06-30">
          <day>30</day>
          <month>06</month>
          <year>2020</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2020 А. И. Потапов, А. В. Кондратьев</copyright-statement>
        <copyright-statement xml:lang="en">© 2020 Aleksandr I. Potapov, Artem V. Kondratev</copyright-statement>
        <copyright-year>2020</copyright-year>
        <copyright-holder xml:lang="ru">А. И. Потапов, А. В. Кондратьев</copyright-holder>
        <copyright-holder xml:lang="en">Aleksandr I. Potapov, Artem V. Kondratev</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/13504">https://pmi.spmi.ru/pmi/article/view/13504</self-uri>
      <abstract xml:lang="ru">
        <p>Рассмотрен метод годографа скорости упругих волн, направленный на неразрушающий контроль структурно-неоднородных композиционных материалов и изделий на их основе, а также многослойных изделий и конструкций. Приведены теоретические основы определения скорости распространения упругих волн в многослойной среде методом годографа. На основе исследований даны рекомендации по определению скорости распространения упругих волн в каждом отдельном слое многослойной среды, что позволяет обеспечить неразрушающий контроль физико-механических характеристик каждого слоя многослойной среды. Показано, что кроме простых многократных отражений в однородной среде, в многослойной среде с параллельными границами раздела, состоящей из двух и более слоев, могут возникать сложные типы кратных отраженных волн и смешанные волны (отраженно-преломленные и преломленно-отраженные). Основной задачей применения низкочастотного ультразвукового метода является определение акустических параметров распространения упругих волн (скоростей, амплитуд, спектров). Рассмотрены основные способы определения скоростей упругих волн, исходя из уравнения годографа указанных отраженных волн в многослойной среде.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The method of velocity of elastic waves hodograph, aimed at non-destructive testing of structurally heterogeneous composite materials and products based on them, as well as multilayer products and constructions, is considered. The theoretical basis for determining the propagation velocity of elastic waves in a multilayer medium by the hodograph method is given. Based on the studies, recommendations are given for determining the propagation velocity of elastic waves in each individual layer of a multilayer medium, which allows non-destructive testing of the physicomechanical characteristics of each layer of a multilayer medium. It is shown that in addition to simple multiple reflections in a homogeneous medium, in a multilayer medium with parallel interfaces consisting of two or more layers, complex types of multiple reflected waves and mixed waves (reflected-refracted and refracted-reflected) can arise. The main task of applying the low-frequency ultrasonic method is to determine the acoustic parameters of the propagation of elastic waves (velocities, amplitudes, spectra). The main methods for determining the elastic wave velocities are considered, based on the hodograph equation of the indicated reflected waves in a multilayer medium.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>многослойная среда</kwd>
        <kwd>годограф скорости упругих волн</kwd>
        <kwd>отраженные волны</kwd>
        <kwd>преломленные волны</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>multilayer medium</kwd>
        <kwd>velocity of elastic waves hodograph</kwd>
        <kwd>reflected waves</kwd>
        <kwd>refracted waves</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
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</article>
