Kerzhaev Alexander Petrovich

born in 1988, in 2010 graduated from the Faculty of Physics and Mathematics of I. Yakovlev Chuvash State Pedagogical University. In 2013 he defended his thesis for the degree of Candidate of Sciences in Physics and Mathematics.

Since 2014 he has been working at the Institute of Earthquake Prediction Theory and Mathematical Geophysics of the Russian Academy of Sciences (IEPT RAS) as a senior researcher.

Teaching activity: from 2012 to 2014 he worked as a lecturer at the Department of Informatics and Computer Science of I. Yakovlev Chuvash State Pedagogical University.

His research interests are related to the biharmonic problem of the theory of elasticity. Within the framework of the biharmonic problem, he and his colleagues constructed examples of exact solutions to classical unsolved boundary value problems of the theory of elasticity with a long history in a half-strip and rectangle (basic, mixed, inhomogeneous, temperature problems). The most important result of the solution to the biharmonic problem was the theory of residual stresses (one of the key problems of the mechanics of deformable solids), which is of applied importance, in particular, for the mechanics of rocks.

He is the author and co-author of more than 30 scientific papers in leading Russian and international peer-reviewed scientific journals.

Participation in RSF and RFBR projects

  • RSF 19-71-00094 “Developing the theoretical foundations of technologies of creating useful residual stresses in elements of thin-walled structures” (leader), 07.2019-06.2021;
  • RFBR 20-51-53021 GFEN_a “Expansions in Papkovich–Fadle eigenfunctions in Cartesian and polar coordinate systems: theory, examples and applications” (executor), 2020-2021;
  • RFBR 16-31-60028 mol_a_dk “Exact solutions to classical boundary value problems of the theory of elasticity in finite domains with nonsmooth boundary in Cartesian and polar coordinate systems” (leader), 2016-2018;
  • RFBR 15-41-02644 r_povolzhye_a “Investigation of the influence of residual stresses on the reliability of inhomogeneous solids and structures made of composite and ceramic materials” (executor), 2015-2017.

Participation in conferences

  • 2021 11th International Conference on Applied Physics and Mathematics (ICAPM 2021), February 1-3, 2021; Shanghai, China. Section report titled Thermoelastic problem for a free square plate: Exact solution;
  • 2020 7th International Conference on Mechanical, Materials and Manufacturing (ICMMM 2020), September 24-26, 2020; Washington, USA. Section report titled Formation of discontinuities in rectangular plates as a result of residual stress relief;
  • 9th International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE 2020), September 7-10, 2020; Tinos island, Greece. Section report titled Thermal stresses in an elastic clamped square: Exact solution;
  • 12th Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS’20), June 24-29, 2020; Albena, Bulgaria. Section report titled Nonhomogeneous boundary value problem for a clamped rectangle: Exact solution;
  • 2020 10th International Conference on Applied Physics and Mathematics (ICAPM 2020), January 10‐12, 2020; Tokyo, Japan. Section report titled Two nonhomogeneous boundary value problems for a rectangle: Exact solutions;
  • 17th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019), September 23-28, 2019; Rhodes, Greece. Section report titled The semi-strip with longitudinal stiffeners in tension-compression and bending: Exact solution;
  • 2018 9th Asia Conference on Mechanical and Aerospace Engineering (ACMAE 2018), December 29-31, 2018; Singapore. Section report titled Two problems for a strip with a transverse crack: Exact solutions;
  • 2018 9th International Conference on Mechanical and Aerospace Engineering (ICMAE 2018), July 10-13, 2018; Budapest, Hungary. Section report titled Nonhomogeneous boundary value problem for a semi-strip clamped at the end: Exact solution;
  • 2017 8th International Conference on Mechanical and Aerospace Engineering (ICMAE 2017), July 22-25, 2017; Prague, Czech Republic. Section report titled Bending of a semi-strip with longitudinal stiffeners: Exact solution;
  • The 8th International Conference on Computational Methods (ICCM2017), July 25-29, 2017; Guilin, Guangxi, China. Section report titled Rectangle clamped at one end: Exact solution;
  • 40th Solid Mechanics Conference (SOLMECH 2016), 29.08-2.09.2016; Warsaw, Poland. Section report titled On the analytical solutions of boundary value problems of the elasticity theory for finite domains with the angular points of a boundary and the changing points of the type of boundary conditions;
  • The VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), June 5-10, 2016; Crete, Greece. Section report titled The features of analytical solutions of boundary value problems of the elasticity theory for finite domains with angular points of a boundary.

Identifiers

WoS ResearcherID: Q-8573-2016

SCOPUS AuthorID: 57191964904

ORCID ID: 0000-0002-8499-3753

Researchgate profile: Alexander Kerzhaev

RSCI AuthorID: 671189

IstinaResearcherID: 302883494

Essential publications for the last 5 years

  • Kovalenko M.D., Menshova I.V., Kerzhaev A.P., Yu G. An inhomogeneous problem for an elastic half-strip: An exact solution. Mathematics and Mechanics of Solids, 2021. DOI: 10.1177/1081286521996418;
  • Kovalenko M.D., Menshova I.V., Kerzhaev A.P., Yu G. Expansions in terms of Papkovich–Fadle eigenfunctions in the problem for a half-strip with stiffeners. Zeitschrift für Angewandte Mathematik und Mechanik, 2021. DOI: 10.1002/zamm.202000093;
  • Kovalenko M.D., Menshova I.V., Kerzhaev A.P., Yu G. A boundary value problem in the theory of elasticity for a rectangle: exact solutions. Zeitschrift für angewandte Mathematik und Physik, 2020, vol. 71, no. 6, art. 199. DOI: 10.1007/s00033-020-01425-2;
  • Matrosov A.V., Kovalenko M.D., Menshova I.V., Kerzhaev A.P. Method of initial functions and integral Fourier transform in some problems of the theory of elasticity. Zeitschrift für angewandte Mathematik und Physik, 2020, vol. 71, no. 1, art. 24. DOI: 10.1007/s00033-019-1247-3;
  • Kovalenko M.D., Menshova I.V., Kerzhaev A.P., Yu G. Inhomogeneous problem of the theory of elasticity in a half-strip. Exact solution. Mechanics of Solids, 2020, vol. 55, no. 6, pp. 784–790. DOI: 10.3103/S0025654420060096;
  • Kovalenko M.D., Abrukov D.A., Menshova I.V., Kerzhaev A.P., Yu G. Exact solutions of boundary value problems in the theory of plate bending in a half-strip: basics of the theory. Zeitschrift für angewandte Mathematik und Physik, 2019, vol. 70, no. 4, art. 98. DOI: 10.1007/s00033-019-1139-6;
  • Kovalenko M.D., Menshova I.V., Kerzhaev A.P. On the exact solutions of the biharmonic problem of the theory of elasticity in a half-strip. Zeitschrift für angewandte Mathematik und Physik, 2018, vol. 69, no. 5, art. 121. DOI: 10.1007/s00033-018-1013-y;
  • Kovalenko M.D., Menshova I.V., Kerzhaev A.P., Guangming Yu. Mixed boundary value problems in the theory of elasticity in an infinite strip. Acta Mechanica, 2018, vol. 229, no. 11, pp. 4339–4356. DOI: 10.1007/s00707-018-2244-x;
  • Kerzhaev A.P., Kovalenko M.D., Menshova I.V. Borel transform in the class W of quasi-entire functions. Complex Analysis and Operator Theory, 2018, vol. 12, no. 3, pp. 571–587. DOI: 10.1007/s11785-017-0643-y;
  • Zveryaev E.M., Kovalenko M.D., Menshova I.V., Kerzhaev A.P. On the properties of exact solutions to boundary value problems of the theory of elasticity in a half-strip and their application to the theory of residual stresses in rocks. Keldysh Institute Preprints, 2018, no. 56, 28 p. DOI: 10.20948/prepr-2018-56. (in Russian).

Awards

Kerzhaev A.P. is a 2014 scholar of the Head of the Chuvash Republic for representatives of youth and students for special creative aspiration.