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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-5582</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/5582</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Горная геомеханика</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Mining geomechanics</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Theoretical basis of geomaterial accounted for induced and inherent anisotropy</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Теоретические предпосылки к созданию модели поведения грунтов, учитывающей анизотропию механических свойств</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Karasev</surname>
            <given-names>M. A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Карасев</surname>
              <given-names>М. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Karasev</surname>
              <given-names>M. A.</given-names>
            </name>
          </name-alternatives>
          <email>karasevma@gmail.com</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Национальный минерально-сырьевой университет «Горный» (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">National Mineral Resources University (Mining University) (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2013-11-18">
        <day>18</day>
        <month>11</month>
        <year>2013</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2013</year>
      </pub-date>
      <volume>204</volume>
      <fpage>226</fpage>
      <lpage>235</lpage>
      <history>
        <date date-type="received" iso-8601-date="2012-11-18">
          <day>18</day>
          <month>11</month>
          <year>2012</year>
        </date>
        <date date-type="accepted" iso-8601-date="2013-01-04">
          <day>04</day>
          <month>01</month>
          <year>2013</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2013-11-18">
          <day>18</day>
          <month>11</month>
          <year>2013</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2013 М. А. Карасев</copyright-statement>
        <copyright-statement xml:lang="en">© 2013 M. A. Karasev</copyright-statement>
        <copyright-year>2013</copyright-year>
        <copyright-holder xml:lang="ru">М. А. Карасев</copyright-holder>
        <copyright-holder xml:lang="en">M. A. Karasev</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/5582">https://pmi.spmi.ru/pmi/article/view/5582</self-uri>
      <abstract xml:lang="ru">
        <p>Представлены результаты лабораторных испытаний глинистых грунтов, направленных на выявление анизотропии их деформационных свойств. Рассмотрена концепция взаимодействия между агрегатами глинистых грунтов на микроуровне. Предложен подход к математическому описанию естественной и вынужденной анизотропии деформационных свойств грунтов.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Analysis of anisotropy behavior of clays based on the laboratory testing and publication is presented. Microstructural physical model of interaction between clay aggregates is proposed. Mathematical description of geomaterial based on the microstructural consideration which account for induce and inherent anisotropy is suggested.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>грунты</kwd>
        <kwd>микроструктура</kwd>
        <kwd>частицы</kwd>
        <kwd>механическое поведение</kwd>
        <kwd>анизотропия</kwd>
        <kwd>подземные сооружения</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>soils</kwd>
        <kwd>microstructure</kwd>
        <kwd>particles</kwd>
        <kwd>mechanical behavior</kwd>
        <kwd>anisotropy</kwd>
        <kwd>underground structures</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Бугров А.К. Анизотропные грунты и основания сооружений / А.К. Бугров, А.И. Голубев. СПб, 1993. 245 с.</mixed-citation>
        <mixed-citation xml:lang="en">Bugrov A.K., Golubev A.I. Anisotropic   soils   and   foundation of structures. Saint Petersburg, 1993. 245 p. </mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Полищук Т.Г. Исследование закономерностей процесса консолидации анизотропных пород: Автореф. дис. канд. техн. наук. Л., 1985. 17 с.</mixed-citation>
        <mixed-citation xml:lang="en">Polishuk T.G. Consolidation of anisotropic soils and rocks: PhD thesis. Leningrad, 1985. 17 p. </mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Фурса В.М. К изучению физико-механических свойств послеледниковых ленточных отложений // Грунтоведение и инженерная геология. Л., 1964. С.74-87.</mixed-citation>
        <mixed-citation xml:lang="en">Fursa V.M.  Physical  and  mechanical  properties  of  post-glacial  clay  deposits  //  Soils  and  engineering  geology.  Leningrad, 1964. P.74-87. </mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Фурса В.М. Строительные свойства грунтов в районе Ленинграда. Л., 1975. 142 с.</mixed-citation>
        <mixed-citation xml:lang="en">Fursa V.M.  Construction  properties  of  a  Leningrad  soils. Leningrad, 1975. 142 p.  </mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Atkinson J.H. Anisotropic elastic deformation in laboratory tests on undisturbed London clay // Geotechnique. 1975. Vol.25. N.2. P.357-384.</mixed-citation>
        <mixed-citation xml:lang="en">Atkinson J.H. Anisotropic   elastic   deformation   in   laboratory tests on undisturbed London clay // Geotechnique. 1975. Vol.25. N.2. P.357-384. </mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Barden L. Stresses and displacement in crossanisotropic soil // Geotechnique. 1963. Vol.13. N 3. P.198- 210.</mixed-citation>
        <mixed-citation xml:lang="en">Barden L.  Stresses  and  displacement  in  crossanisotropic   soil   //   Geotechnique.   1963.   Vol.13.   N   3.   P.198-210. </mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Bazant Z.P. Microplane model for concrete. II: Data delocalization and verification / Z.P. Bazant, Y. Xiang, М.D. Adley, P.C. Prat, S.A. Akers // J. Eng. Mech. 1996. Vol.123. N 3. P.255-262.</mixed-citation>
        <mixed-citation xml:lang="en">Bazant Z.P., Xiang Y., Adley М.D., Prat P.C., Akers S.A. Microplane model for concrete. II: Data delocalization  and  verification  //  J.Eng.  Mech.  1996.  Vol.123.  N  3.  P.255-262. </mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Chang C.S. Micromechanical modeling of constructive relations for granular material // Micromechanics of granular materials. Amsterdam, 1988. P.271-279.</mixed-citation>
        <mixed-citation xml:lang="en">Chang C.S. Micromechanical modeling of constructive  relations  for  granular  material  //  Micromechanics  of  granular materials. Amsterdam, 1988. P.271-279. </mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Chang C. Elastoplastic Model for Clay with Microstructural Consideration / C. Chang, P. Hicher, Z. Yin, L. Kong // J. Eng. Mech. 2009. Vol.135(9). Р.917-931.</mixed-citation>
        <mixed-citation xml:lang="en">Chang C.,  Hicher  P., Yin Z., Kong L.  Elastoplastic  Model for Clay with Microstructural Consideration // J.Eng. Mech. 2009. Vol.135(9). Р.917-931. </mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Cudny M. On the modelling of anisotropy and destructuration of soft clays within the multi-laminate framework / M. Cudny and P.A. Vermeer // Computer and Geotechnic. 2004. Vol.31. P.1-22.</mixed-citation>
        <mixed-citation xml:lang="en">Cudny M., Vermeer P.A.  On  the  modelling  of  anisotropy  and  destructuration  of  soft  clays  within  the  multilaminate  framework  //  Computer  and  Geotechnic.  2004.  Vol.31. P.1-22. </mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Franklin A.G. Directional variation of elastic wave velocities in oriented clay/ A.G. Franklin, P.A. Mattson // Clay and clay minerals. 1972. Vol.20. P.285-293.</mixed-citation>
        <mixed-citation xml:lang="en">Franklin A.G., Mattson P.A.  Directional  variation  of  elastic  wave  velocities  in  oriented  clay  //  Clay  and  clay  minerals. 1972. Vol.20. P.285-293. </mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Graham J. Anisotropic elasticity of natural clay / J. Graham, G.T. Houlsby // Geotechnique. 1983. Vol.33. N 2. P.165-180.</mixed-citation>
        <mixed-citation xml:lang="en">Graham J., Houlsby G.T.  Anisotropic  elasticity  of  natural clay // Geotechnique. 1983. Vol.33. N 2. P.165-180. </mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Jenkins J.T. Volume change in small strain axisymmetric deformations of a granular material / J.T. Jenkins, M. Satake // Micromechanics of granular materials. Amsterdam, 1988. P.143-152.</mixed-citation>
        <mixed-citation xml:lang="en">Jenkins J.T.,Satake M.  Volume  change  in  small  strain  axisymmetric  deformations  of  a  granular  material  //  Micromechanics  of  granular  materials.  Amsterdam,  1988.  P.143-152.</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Karstunen M. Criterion for strain loca1ization based on multilaminate framework / M. Karstunen, G.N. Pande // Numerical mode1s in geomechanics. Rotteram, 1997. Р.199-204.</mixed-citation>
        <mixed-citation xml:lang="en">Karstunen M., Pande G.N.   Criterion   for   strain   localization based on multilaminate framework // Numerical mode1s in geomechanics. Rotterdam, 1997. Р.199-204. </mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Karstunen M. Strain localization in granular media using multilaminate framework / M. Karstunen, G.N. Pande // Applications of computational mechanics in geotechnical engineering. Rotterdam, 1997. Р.149-173.</mixed-citation>
        <mixed-citation xml:lang="en">Karstunen M., Pande G.N.  Strain  localization  in  granular  media  using  multilaminate  framework  //  Applications  of  computational  mechanics  in  geotechnical  engineering. Rotterdam, 1997. Р.149-173. </mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Kirkgard M.M. Anisotropy of normally consolidated San Francisco bay mud / M.M. Kirkgard, P.V. Lade // Geotechnical testing journal. 1991. Vol.14. N 3. P.231-246.</mixed-citation>
        <mixed-citation xml:lang="en">Kirkgard M.M., Lade P.V. Anisotropy of normally consolidated  San  Francisco  bay  mud  //  Geotechnical  testing  journal. 1991. Vol.14. N 3. P.231-246.  </mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Kirkpatric W.M. Directional properties of consoli- dated kaolin / W.M. Kirkpatric, I.A. Rennie // Geotechnique. 1972. Vol.22. N.1. P.166-169.</mixed-citation>
        <mixed-citation xml:lang="en">Kirkpatric W.M., Rennie I.A.  Directional  properties  of  consolidated  kaolin  //  Geotechnique.  1972.  Vol.22.  N.1. P.166-169. </mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Lo K.Y. Interpretation and significance of anisotropic deformation behavior of soft clays / K.Y. Lo, G.A. Leonards, C. Yuen // Norvegian Geotechnical Institute. 1977. N.117.</mixed-citation>
        <mixed-citation xml:lang="en">Lo K.Y., Leonards G.A., YuenC. Interpretation and significance  of  anisotropic  deformation  behavior  of  soft  clays // Norvegian Geotechnical Institute. 1977. N.117.  </mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Loh A.K. Directional variation in undrained shear strength and fabric of Winnipeg Upper Brown clay / A.K. Loh, R.T. Holt // Canadian Geotechnical Journal. 1974. Vol.11. N 3. P.430-437.</mixed-citation>
        <mixed-citation xml:lang="en">Loh A.K., Holt R.T. Directional variation in undrained shear strength and fabric of Winnipeg Upper Brown clay // Canadian Geotechnical Journal. 1974. Vol.11. N 3. P.430-437. </mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Pande G.N. Multilaminate model of clays – a numerical evaluation of the influence of rotation of the principal stress axis / G.N. Pande, K.G. Sharma // Proc., Symp. on Implementation of Computer Procedures and Stress-Strain Laws in Geotechnical Engineering. 1982. Р.575-590.</mixed-citation>
        <mixed-citation xml:lang="en">Pande G.N., Sharma K.G.  Multi-laminate  model  of  clays  –  a  numerical  evaluation  of  the  influence  of  rotation  of  the  principal  stress  axis  //  Proc.,  Symp.  on  Implementation  of  Computer  Procedures  and  Stress-Strain  Laws  in Geotechnical Engineering. 1982. Р.575-590.</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Rothenburg L. Micromechanical definitions of the Cauchy stress tensor for particular media / L. Rothenburg, A.P.S. Selvadurai // Mechanics of structured media. Amsterdam, 1981. P.469-486.</mixed-citation>
        <mixed-citation xml:lang="en">Rothenburg L., S.Selvadurai A.P.   Micromechanical definitions of the Cauchy stress tensor for particular media  //  Mechanics  of  structured  media.  Amsterdam,  1981.  P.469-486. </mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Saada A.S The dynamic response of anisotropic clay. Earthquake engineering and soil dynamics / A.S. Saada, G.F. Bianchini, Palmer Shook L. // Pasadena, CA. 1978. Vol.1. P.777-801.</mixed-citation>
        <mixed-citation xml:lang="en">Saada A.S, Bianchini G.F., Palmer  Shook  L.  The  dynamic response of anisotropic clay. Earthquake engineering and soil dynamics // Pasadena CA. 1978. Vol.1. P.777-801.  </mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Scharinger F. Multilaminate framework for modelling soil behaviour / F. Scharinger, H.F. Schweiger, V. Galavi // Proc. International Workshop on Constitutive Modelling. Development, Implementation, Evaluation and Application. Hong Kong, 2007. P.65-74.</mixed-citation>
        <mixed-citation xml:lang="en">Scharinger F., Schweiger H.F., Galavi V.  Multilaminate  framework  for  modelling  soil  behaviour  //  Proc.  International   Workshop   on   Constitutive   Modelling.   Development,   Implementation, Evaluation and Application. Hong Kong, 2007. P.65-74. </mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Schuller H. Application of a multilaminate model to simulation of shear band information in NATM-tunnelling / H. Schuller, H.F. Schweiger// Computer and geotechnics. 2002. Vol.29. P.501-524.</mixed-citation>
        <mixed-citation xml:lang="en">Schuller H., Schweiger H.F. Application of a multilaminate  model  to  simulation  of  shear  band  information  in  NATM-tunnelling   //   Computer   and   geotechnics.   2002.   Vol.29. P.501-524. </mixed-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Walton K. The effective elastic moduli of a random packing of spheres // J. Mech. Phys. Solids. 1987. Vol.35. P.213-226.</mixed-citation>
        <mixed-citation xml:lang="en">Walton K.  The  effective  elastic  moduli  of  a  random  packing  of  spheres  //  J.Mech.  Phys.  Solids.  1987.  Vol.35. P.213-226. </mixed-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Ward W.H. Properties of the London clay at the Ashford common shaft: insitu and undrained strength tests/ W.H. Ward, A. Marsland, S.G. Samuels // Geotechnique. 1965. Vol.15, N 4. P.321-344.</mixed-citation>
        <mixed-citation xml:lang="en">Ward W.H.,Marsland A., Samuels S.G.  Properties  of the London clay at the Ashford common shaft: in-situ and undrained strength tests // Geotechnique. 1965. Vol.15, N 4. P.321-344. </mixed-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Ward W.H. Further studies of the properties of London Clay/ W.H. Ward, S.G. Samuels, M.E. Gutler // Geotechnique. 1959. Vol.9. N.2. P.321-344.</mixed-citation>
        <mixed-citation xml:lang="en">Ward W.H., Samuels S.G., Gutler M.E.   Further   studies  of  the  properties  of  London  Clay  //  Geotechnique.  1959. Vol.9. N.2. P.321-344. </mixed-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Wiltafsky Ch. A multilaminate model for normally consolidated clay: Ph.D. thesis / Gruppe Geotechnik Graz, Graz University of Technology. Graz, 2003. 18 р.</mixed-citation>
        <mixed-citation xml:lang="en">Wiltafsky  Ch.  A  multilaminate  model  for  normally  consolidated  clay:  Ph.D.  thesis  /  Gruppe  Geotechnik  Graz,  Graz University of Technology. Graz, 2003. 18 р. </mixed-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Yong R.N. Anisotropic behavior of sensitive clay / R.N. Yong, V. Silvestri // Canadian Geotechnical Journal. 1979. Vol.16. N.2. P.335-350.</mixed-citation>
        <mixed-citation xml:lang="en">Yong R.N., Silvestri V.   Anisotropic   behavior   of   sensitive   clay   //   Canadian   Geotechnical   Journal.   1979.   Vol.16. N.2. P.335-350.</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
