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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Biological Physics and Chemisrty</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Biological Physics and Chemisrty</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>АКТУАЛЬНЫЕ ВОПРОСЫ БИОЛОГИЧЕСКОЙ ФИЗИКИ И ХИМИИ</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2499-9962</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">54828</article-id>
   <article-id pub-id-type="doi">10.29039/rusjbpc.2022.0491</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>МЕДИЦИНСКАЯ БИОФИЗИКА И БИОФИЗИЧЕСКАЯ ХИМИЯ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>MEDICAL BIOPHYSICS AND BIOPHYSICAL CHEMISTRY</subject>
    </subj-group>
    <subj-group>
     <subject>МЕДИЦИНСКАЯ БИОФИЗИКА И БИОФИЗИЧЕСКАЯ ХИМИЯ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">ELASTIC PROPERTIES OF CRYSTALS OF BIOCOMPATIBLE TINI-BASED ALLOYS WITH SHAPE MEMORY</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Упругие свойства кристаллов биосовместимых сплавов на основе TiNi с памятью формы</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Муслов</surname>
       <given-names>С. А.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Muslov</surname>
       <given-names>S. A.</given-names>
      </name>
     </name-alternatives>
     <email>muslov@mail.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Сухочев</surname>
       <given-names>П. Ю.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Sukhochev</surname>
       <given-names>P. Yu.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Московский государственный медико-стоматологический университет им. А.И. Евдокимова</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">A.I. Yevdokimov Moscow State University of Medicine and Dentistry</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Московский государственный университет им. М.В. Ломоносова</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Lomonosov Moscow State University</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2022-03-25T20:22:29+03:00">
    <day>25</day>
    <month>03</month>
    <year>2022</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-03-25T20:22:29+03:00">
    <day>25</day>
    <month>03</month>
    <year>2022</year>
   </pub-date>
   <volume>7</volume>
   <issue>1</issue>
   <fpage>105</fpage>
   <lpage>112</lpage>
   <history>
    <date date-type="received" iso-8601-date="2022-03-20T20:22:29+03:00">
     <day>20</day>
     <month>03</month>
     <year>2022</year>
    </date>
    <date date-type="accepted" iso-8601-date="2022-03-20T20:22:29+03:00">
     <day>20</day>
     <month>03</month>
     <year>2022</year>
    </date>
   </history>
   <self-uri xlink:href="https://rusjbpc.ru/en/nauka/article/54828/view">https://rusjbpc.ru/en/nauka/article/54828/view</self-uri>
   <abstract xml:lang="ru">
    <p>Представлены собственные и литературные данные по характеристикам упругих свойств кристаллов биосовместимых сплавов на основе никелида титана (нитинола) TiNi с памятью формы, получивших широкое применение в науке, технике и медицине. Оценивали упругие постоянные cij, коэффициенты податливости sij, коэффициенты Пуассона μmin, μmax, &lt;μ&gt; и упругой анизотропии A, полученные опытным и расчетным путем. Численные значения исследованных параметров детально проанализированы с точки зрения описательной статистики. Для визуализации различий упругих характеристик применены диаграммы “box and whiskers” и диаграмма с областями. Знание упругих постоянных кристаллической решетки TiNi и сплавов на его основе позволило рассчитать значения макроскопических упругих модулей E и G, коэффициента Пуассона μ и их ориентационную зависимость. На основании анализа данных сделан вывод о том, что низкий уровень упругих свойств сплавов на основе TiNi (нитинола) может быть использован, например, при разработке бионических протезов для медицины.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The authors present their own and literature data on the characteristics of elastic properties of crystals of biocompatible alloys based on titanium nickelide (nitinol) TiNi with shape memory, which have been widely used in science, technology and medicine. Elastic constants cij, malleability coefficients sij, Poisson coefficients μmin, μmax, &lt;µ&gt; and elastic anisotropy A, obtained experimentally and computationally, were evaluated.The numerical values of the studied parameters are analyzed in detail from the point of view of descriptive statistics. To visualize the differences in elastic characteristics, “box and whiskers” diagrams and a diagram with areas are used. Knowledge of the elastic constants of the TiNi crystal lattice and alloys based on it made it possible to calculate the values of macroscopic elastic modules E and G, the Poisson's ratio μ and their orientation dependence. Based on the data analysis, it is concluded that the low level of elastic properties of TiNi (nitinol) based alloys can be used, for example, in the development of bionic prostheses for medicine.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>биосовместимые сверхэластичные сплавы с памятью формы</kwd>
    <kwd>TiNi</kwd>
    <kwd>упругие постоянные</kwd>
    <kwd>коэффициент Пуассона</kwd>
    <kwd>ауксетики</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>biocompatible superelastic shape memory alloys</kwd>
    <kwd>TiNi</kwd>
    <kwd>elastic constants</kwd>
    <kwd>Poisson's ratio</kwd>
    <kwd>auxetics</kwd>
   </kwd-group>
  </article-meta>
 </front>
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  <p></p>
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 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Муслов С.А. Предмартенситные состояния в монокристаллах сплавов TiNi-TiFe и TiNi-TiCu: (01.04.07). Дисс. … канд. физ.-мат. наук. Том. гос. ун-т им. В.В. Куйбышева, 1987, 166 с.</mixed-citation>
     <mixed-citation xml:lang="en">Muslov S.A. Pre-martensitic states in single crystals of TiNi-TiFe and TiNi-TiCu alloys: (01.04.07). Diss. … Candidate of Physical and Mathematical Sciences. Tomsk State University named after V.V. Kuibyshev, 1987, 166 p. (In Russ.)</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Nye J.F. Physical Properties of Crystals: Their Representation by Tensors and Matrices. Clarendon Press, 1985, 329 p.</mixed-citation>
     <mixed-citation xml:lang="en">Nye J.F. Physical Properties of Crystals: Their Representation by Tensors and Matrices. Clarendon Press, 1985, 329 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Муслов С.А., Лотков А.И., Арутюнов С.Д. Экстремумы упругих свойств кубических кристаллов. Известия ВУЗов. Серия Физика, 2019, т. 62, № 8 (740), с. 102-111.</mixed-citation>
     <mixed-citation xml:lang="en">Muslov S.A., Lotkov A.I., Arutyunov S.D. Extremes of elastic properties of cubic crystals. Izvestiya VUZov. Seriya Fizika, 2019, vol. 62, no. 8 (740), pp. 102-111. (In Russ.)</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wojciechowski K.W. Poisson’s ratio of anisotropic system. Computational methods in science and technology, 2005, vol. 11, no. 1, pp. 73-79.</mixed-citation>
     <mixed-citation xml:lang="en">Wojciechowski K.W. Poisson’s ratio of anisotropic system. Computational methods in science and technology, 2005, vol. 11, no. 1, pp. 73-79.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Муслов С.А., Лотков А.И., Тимкин В.Н. Коэффициент Пуассона TiNi. Перспективные материалы, 2021, № 12, с. 5-20.</mixed-citation>
     <mixed-citation xml:lang="en">Muslov S.A., Lotkov A.I., Timkin V.N. The Poisson's Ratio is TiNi. Perspektivnye materialy, 2021,  no. 12, pp. 5-20. (In Russ.)</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wang X.F. et al. Extreme Poisson's ratios and their electronic origin in B2 CsCl-type AB intermetallic compounds. Physical review B, 2012, vol. 85, 134108.</mixed-citation>
     <mixed-citation xml:lang="en">Wang X.F. et al. Extreme Poisson's ratios and their electronic origin in B2 CsCl-type AB intermetallic compounds. Physical review B, 2012, vol. 85, 134108.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Hatcher N., Kontsevoi O.Y., Freeman A.J. Martensitic transformation path of NiTi. Phys. Rev. B, 2009, vol. 80, 144203.</mixed-citation>
     <mixed-citation xml:lang="en">Hatcher N., Kontsevoi O.Y., Freeman A.J. Martensitic transformation path of NiTi. Phys. Rev. B, 2009, vol. 80, 144203.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bihlmayer G., Eibler R., Neckel A. Elastic properties of B2-NiTi and B2-PdTi. Phys. Rev. B, 1994, vol. 50, 13113.</mixed-citation>
     <mixed-citation xml:lang="en">Bihlmayer G., Eibler R., Neckel A. Elastic properties of B2-NiTi and B2-PdTi. Phys. Rev. B, 1994, vol. 50, 13113.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mercier O., Melton K.N., Gremaud G., Hagi J. Single-crystal elastic constants of the equiatomic NiTi alloy near the martensitic transformation. J. Appl. Phys., 1980, vol. 51, 1833.</mixed-citation>
     <mixed-citation xml:lang="en">Mercier O., Melton K.N., Gremaud G., Hagi J. Single-crystal elastic constants of the equiatomic NiTi alloy near the martensitic transformation. J. Appl. Phys., 1980, vol. 51, 1833.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Gaillac R., Coudert F.-X. Elastic tensor analysis. Электронный ресурс. URL: http://progs.coudert.name/elate/mp?query=mp-571.</mixed-citation>
     <mixed-citation xml:lang="en">Gaillac R., Coudert F.-X. Elastic tensor analysis.  URL: http://progs.coudert.name/elate/mp?query=mp-571.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Кузнецов А.В., Муслов С.А., Лотков А.И., Хачин В.Н., Гришков В.Н., Пушин В. Г. Упругие постоянные TiNi вблизи мартенситных превращений. Известия вузов. Серия Физика, 1987, № 7, с. 98-99.</mixed-citation>
     <mixed-citation xml:lang="en">Kuznetsov A.V., Muslov S.A., Lotkov A.I., Khachin V.N., Grishkov V.N., Pushin V.G. TiNi elastic constants near martensitic transformations. Izvestiya VUZov. Seriya Fizika, 1987, no. 7, pp. 98-99. (In Russ.)</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ren X., Taniwaki K., Otsuka K., Suzuki T., Tanaka K., Chumlyakov Yu.I. Elastic constants of Ti50Ni30Cu20 aloy prior to martensitic transformation. Philosophical Magazine A, 1999, vol. 79, no. 1, pp. 31-41.</mixed-citation>
     <mixed-citation xml:lang="en">Ren X., Taniwaki K., Otsuka K., Suzuki T., Tanaka K., Chumlyakov Yu.I. Elastic constants of Ti50Ni30Cu20 aloy prior to martensitic transformation. Philosophical Magazine A, 1999, vol. 79, no. 1, pp. 31-41.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ren X., Miura N., Zhang J. Otsuka K., Tanaka K., Koiwa M., Suzuki T., Chumlyakov Yu.I. A comparative study of elastic constants of Ti-Ni-based alloys prior to martensitic transformation. Mat. Sci. Eng. A, 2001, vol. 312, pp. 196-206.</mixed-citation>
     <mixed-citation xml:lang="en">Ren X., Miura N., Zhang J. Otsuka K., Tanaka K., Koiwa M., Suzuki T., Chumlyakov Yu.I. A comparative study of elastic constants of Ti-Ni-based alloys prior to martensitic transformation. Mat. Sci. Eng. A, 2001, vol. 312, pp. 196-206.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sestak P. et al. The elastic constants of austenitic and martensitic phases of NiTi shape memory alloy. Pp. 120-124.</mixed-citation>
     <mixed-citation xml:lang="en">Sestak P. et al. The elastic constants of austenitic and martensitic phases of NiTi shape memory alloy. Pp. 120-124.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Zengetal Z.-Y. First-principles determination of the structure, elastic constant, phase diagram and thermodynamics of NiTi alloy. Physica B, 2010, vol. 405, pp. 3665-3672.</mixed-citation>
     <mixed-citation xml:lang="en">Zengetal Z.-Y. First-principles determination of the structure, elastic constant, phase diagram and thermodynamics of NiTi alloy. Physica B, 2010, vol. 405, pp. 3665-3672.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wagner M.F.-X., Windl W. Lattice stability, elastic constants and macroscopic moduli of NiTi martensites from first principles. Acta Mater, 2008, vol. 56, pp. 6232-6245.</mixed-citation>
     <mixed-citation xml:lang="en">Wagner M.F.-X., Windl W. Lattice stability, elastic constants and macroscopic moduli of NiTi martensites from first principles. Acta Mater, 2008, vol. 56, pp. 6232-6245.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Huang X., Bungaro C., Godlevsky V., Rabe K.M. Lattice instabilities of cubic NiTi from first principles. Phys.Rev. B, 2001, vol. 65, 014108.</mixed-citation>
     <mixed-citation xml:lang="en">Huang X., Bungaro C., Godlevsky V., Rabe K.M. Lattice instabilities of cubic NiTi from first principles. Phys.Rev. B, 2001, vol. 65, 014108.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lai W.S., Liu B.X. Lattice stability of some Ni-Ti alloy phases versus their chemical composition and disordering. J. Phys.: Condens. Matter, 2000, vol. 12, no. L53.</mixed-citation>
     <mixed-citation xml:lang="en">Lai W.S., Liu B.X. Lattice stability of some Ni-Ti alloy phases versus their chemical composition and disordering. J. Phys.: Condens. Matter, 2000, vol. 12, no. L53.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lu J.-M., Hu Q.-M., Yang R. Composition-dependent elastic properties and electronic structures of off-stoichiometric TiNi from first-principles calculations. Acta Mater, 2008, vol. 56, no. 4913.</mixed-citation>
     <mixed-citation xml:lang="en">Lu J.-M., Hu Q.-M., Yang R. Composition-dependent elastic properties and electronic structures of off-stoichiometric TiNi from first-principles calculations. Acta Mater, 2008, vol. 56, no. 4913.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ye Y.Y., Chan C.T., Ho K.M. Structural and electronic properties of the martensitic alloys TiNi, TiPd, and TiPt. Phys.Rev. B, 1997, vol. 56, no. 3678.</mixed-citation>
     <mixed-citation xml:lang="en">Ye Y.Y., Chan C.T., Ho K.M. Structural and electronic properties of the martensitic alloys TiNi, TiPd, and TiPt. Phys.Rev. B, 1997, vol. 56, no. 3678.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fang Yu et al. First-Principles Calculations of Structural, Mechanical, and Electronic Properties of the B2-Phase NiTi Shape-Memory Alloy Under High Pressure. Computation, 2019, vol. 7, no. 57.</mixed-citation>
     <mixed-citation xml:lang="en">Fang Yu et al. First-Principles Calculations of Structural, Mechanical, and Electronic Properties of the B2-Phase NiTi Shape-Memory Alloy Under High Pressure. Computation, 2019, vol. 7, no. 57.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Haskins J.B., Lawson J.W. Finite temperature properties of NiTi from first principles simulations: Structure, mechanics, and thermodynamics. J. Appl. Phys., 2017, vol. 121, 205103.</mixed-citation>
     <mixed-citation xml:lang="en">Haskins J.B., Lawson J.W. Finite temperature properties of NiTi from first principles simulations: Structure, mechanics, and thermodynamics. J. Appl. Phys., 2017, vol. 121, 205103.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Cheng D.Y., Zhao S.J., Wang S.Q., Ye H.Q. First-principles study of the elastic properties and electronic structure of NiTi, CoTi and FeTi. Philos. Mag. A, 2001, vol. 81, pp. 1625-1632.</mixed-citation>
     <mixed-citation xml:lang="en">Cheng D.Y., Zhao S.J., Wang S.Q., Ye H.Q. First-principles study of the elastic properties and electronic structure of NiTi, CoTi and FeTi. Philos. Mag. A, 2001, vol. 81, pp. 1625-1632.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Hu Q.M., Yang R., Lu J.M., Wang L., Johansson B., Vitos L. Effect of Zr on the properties of (TiZr)Ni alloys from first-principles calculations. Phys. Rev. B, 2007, vol. 76, 224201.</mixed-citation>
     <mixed-citation xml:lang="en">Hu Q.M., Yang R., Lu J.M., Wang L., Johansson B., Vitos L. Effect of Zr on the properties of (TiZr)Ni alloys from first-principles calculations. Phys. Rev. B, 2007, vol. 76, 224201.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B25">
    <label>25.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yin J.Y. et al. Micromechanism of Cu and Fe alloying process on the martensitic phase transformation of NiTi-based alloys. Journal of Structural Chemistry, 2015, vol. 56, no. 6, pp. 1051-1057.</mixed-citation>
     <mixed-citation xml:lang="en">Yin J.Y. et al. Micromechanism of Cu and Fe alloying process on the martensitic phase transformation of NiTi-based alloys. Journal of Structural Chemistry, 2015, vol. 56, no. 6, pp. 1051-1057.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B26">
    <label>26.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Tan C.L., Tian X.H., Cai W. Phys. B (Amsterdam, Neth.), 2009, vol. 404, pp. 3662-3665.</mixed-citation>
     <mixed-citation xml:lang="en">Tan C.L., Tian X.H., Cai W. Phys. B (Amsterdam, Neth.), 2009, vol. 404, pp. 3662-3665.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B27">
    <label>27.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Епишин А.И., Лисовенко Д.С. Экстремальные значения коэффициента Пуассона кубических кристаллов. Журнал технической физики, 2016, т. 86, вып. 10, с. 74-82.</mixed-citation>
     <mixed-citation xml:lang="en">Epishin A.I., Lisovenko D.S. Extreme values of the Poisson's ratio of cubic crystals. Journal of Technical Physics, 2016, vol. 86, iss. 10, pp. 74-82. (In Russ.)</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
