info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Ivane Tsagareli

  • Mathematical Problems of the Mechanics of Continua and Related Problems of the Analysis Laboratory
    Senior Researcher
  • Office: room 230, University str.11, 0186 Tbilisi, Georgia
  • Phone: 577072630
  • E-mail: i.tsagareli@yahoo.com
  • Research fields: The theory of Elasticity and Thermoelasticity, Explicit and Numerical solutions of BVPs.

Summary

Education

Student of Tbilisi State University (TSU), faculty of Mechanics and Mathematics. Ianuary 1966, Diploma in Mechanics.
Ph.D. (Candidate of Sciences) in Mechanics of Deformable Bodies Iv. Javakhishvili Tbilisi State University, 1984; Thesis: “Effective solutions of boundary, boundary-contact and mixed boundary value problems of the classical theory elasticity and thermoelasticity”. “(Advisors: Professor M. Basheleishvili and Professor D. Natroshvili).

Work experience

1968-1969 – Mathematician-programmer
1969-1986 - Junior researcher at the I. Vekua Institute of Applied Mathematics
1986-1988 – Researcher at the I. Vekua Institute of Applied Mathematics
1988-2009 - Senior researcher at the I. Vekua Institute of Applied Mathematics
2009-2019 -Researcher at the I. Vekua Institute of Applied Mathematics
2019-2020 -Senior Mathematical Problems of the Mechanics of Continua and Related Problems of the Analysis Laboratory at the I. Vekua Institute of Applied Mathematics
2020- present -Senior researcher at the I. Vekua Institute of Applied Mathematics

Projects

Talks

  • The main contact problem for an elastic plane with voids, by Ivane Tsagareli (Speaker) at XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-23 April, 2021.
  • Ivane Tsagareli Solution of the problems of quasi-statics for an circle with double porosity , by Ivane Tsagareli (Speaker) at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 17-19 September, 2020.
  • Dynamical problems for a porous nonelastic circle with double voids, by Ivane Tsagareli (Speaker) at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2019.
  • Solution of a boundary value problem of elastostatics for an elastic porous circular ring with voids, by Ivane Tsagareli (Speaker) at XXXII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 18-20 April, 2018.
  • Solving boundary problems of elastostatics for a porous circle, by Ivane Tsagareli (Speaker) at XXXI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-21 April, 2017.
  • Solution of the problems of thermoelastostatics for circle with double porosity, by Ivane Tsagareli (Speaker) at XXX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 20-22 April, 2016.
  • Fundamental solution in the fully coupled theory of elasticity for solids with double porosity, by Lamara Bitsadze (Speaker), Ivane Tsagareli at XXIX Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2015.
  • Solution of BVPs In the full coupled theory of elasticity for a sphere with double porosity, by Ivane Tsagareli (Speaker), Lamara Bitsadze at V Annual meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 08-10 October, 2014.
  • Explicit solutions of boundary value problems of statics for an elastic circle with double porosity, by Ivane Tsagareli (Speaker), Lamara Bitsadze at XXVIII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2014.
  • The solutions of Dynamical Problems for Elastic Bodies with Microstructures, by Ivane Tsagareli (Speaker) at Second International Conference "Modern Problems in Applied Mathematics", Tbilisi, Georgia, 04-07 September, 2013.
  • Numerical Solution of Boundary Value Problems of Thermoelasticity with Microtemperatures for Circular Hole, by Ivane Tsagareli (Speaker), Maia Svanadze at III International Conference of the Georgian Mathematical Union, Batumi, Georgia, 02-09 September, 2012.
  • Numerical solution of the boundary value problem of statics in the theory of thermoelastocity with microtemperatures vor circular ring, by Ivane Tsagareli (Speaker), Maia Svanadze at XXVI Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2012.
  • The solution of the first boundary value problem of elastostatics for double porous a circular hole, by Ivane Tsagareli (Speaker), Maia Svanadze at XXV Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 20-23 April, 2011.
  • Explicit solutions of the boundary value problems of the theory of thermoelasticity with microtemperatures for elastic circle, by Ivane Tsagareli (Speaker), Maia Svanadze at 82nd Annual Scientific Conference of the International Association of Applied Mathematics and Mechanics, Graz, Austria, 18-21 April, 2011.
  • Solution of the problems of statics and quasi-statics for an circle with double porosity, by Ivane Tsagareli (Speaker), Maia Svanadze at XXIV Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-23 April, 2010.
  • Explicit Solution of the Boundary Value Problems of the Theory of Elasticity for Solids with Double porosity, by Ivane Tsagareli (Speaker), Maia Svanadze at 81st Annual Scientific Conference of the International Association of Applied Mathematics and Mechanics, Karlsruhe, Germany, 22-26 March, 2010.
  • Contact problem for the Thermoelastic mixture, by Ivane Tsagareli (Speaker) at XXIII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2009.
  • The main contact problem of elasticity for a circrle filled with a binary mixture, by Ivane Tsagareli (Speaker), David Toradze at XXII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2008.

Publications

  • Ivane Tsagareli, Solution of the problems of thermoelasticity for a circle with double porosity, Journal of Thermal Stresses, Volume 46, Issue 2, Pages 133-139 , Taylor and Francis, 2023.
  • Bakur Gulua, Ivane Tsagareli, Numerical realization of boundary problems of the theory of elasticity for a disk with voids, AMIM, Vol. 27, No. 1, 66-75, Tbilisi State University, 2022.
  • Ivane Tsagareli, Dynamic problems for elastic bodies with double voids, ZAMM Journal of applied mathematics and mechanics,102 (4), e202000335, Wiley, 2022.
  • Ivane Tsagareli, Bakur Gulua, Solution of the problems of quasi-statics for an elastic body with double porosity, Journal of Nature, Science & Technology, Vol. 3, 1-5, ACADEMY Sağlık Hiz. Müh. İnş.-Taah. Elekt. Yayın. Tic. San.Ltd. Şti., 2021.
  • Ivane Tsagareli, Solution of Boundary Value Problems of Thermoelasticity for a Porous Disk with Voids, Journal of Porous Media, vol. 23 (2), 2020, 177–185., Begell House Inc., 2020.
  • Ivane Tsagareli, Solution of dynamic boundary value problems for an elastic disk with double porosity, SN Applied Sciences 2 (12), 2020, 1-9, Springer, 2020.
  • Ivane Tsagareli, Solution of Boundary Problems of Elastostatics for Elastic Porous Circular Ring with Voids, Seminar of I. Vekua Institute of Applied Mathematics, Reports, 45, 2019, 58-63, Tbilisi University Press , 2019.
  • Ivane Tsagareli, Solution of Boundary Value Problems of Elastostatics for a Plane with Circular Hole with Voids, Seminar of I. Vekua Institute of Applied Mathematics, Reports,44, 2018, 54- 60., Tbilisi University Press , 2018.
  • Ivane Tsagareli, Explicit Solution of Elastostatic Boundary Value Problems for the Elastic Circle with Voids, Advances in Mathematical Physics. 2018:1-6, International Press, 2018.
  • Ivane Tsagareli, Solution of the Boundary Problems of Thermoporoelastostatics, Seminar of I. Vekua Institute of Applied Mathematics, Reports, vol. 43, 2017, 83-92, Tbilisi University Press , 2017.
  • Ivane Tsagareli, Solution of the Boundary-Contact Problem of Elastostatics for an Multi-Layer Infinite Cylinder with Double Porosity, YII International Joint Conference of Georgian Mathematical Union and Georgian Mechanical Union, Batumi, September 5-9, Georgian Mathematical Union, 2016.
  • Ivane Tsagareli, Lamara Bitsadze, Explicit solutions on some problems in the fully coupled theory of elasticity for a circle with double porosity, Bulletin of TICMI, 20 (2), 11-23, Tbilisi University Press, 2016.
  • Lamara Bitsadze, Ivane Tsagareli, The solution of the Dirichlet BVP in the fully coupled theory of elasticity for spherical layer with double porosity, Meccanica, 51 (6), 1457-1463, Springer, 2016.
  • Lamara Bitsadze, Ivane Tsagareli, Solutions of BVPs in the fully coupled theory of elasticity for the space with double porosity and spherical cavity, Mathematical Methods in the Applied Science, 39 (8), 2136-2145, Wiley, 2016.
  • Ivane Tsagareli, Solutions of the problems of thermoelastostatics for an circle with double porosity, XXX International Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, , Tbilisi University Press , 2016.
  • Ivane Tsagareli, Lamara Bitsadze, Explicit solution of one boundary value problem in the full coupled theory of elasticity for solids with double porosity, Acta Mechanica volume, 226 (5), 1409–1418, Springer, 2015.
  • Ivane Tsagareli, Lamara Bitsadze, Solutions of BVPs in the fully coupled theory of elasticity for a sphere with double porosity, Bulletin of TICMI, 19 (1), 26-36, Tbilisi University Press, 2015.
  • Ivane Tsagareli, Lamara Bitsadze, The boundary value problems in the full coupled theory of elasticity for plane with double porosity with a circular hole, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Volume 40, 68-79, Tbilisi University Press, 2014.
  • Ivane Tsagareli, The Solutions of the Boundary Value Problems of the Theory of Thermoelasticity with Microtemperatures for an Elastic Circle, Bulletin of TICMI, vol.17 (1), 19-27, Tbilisi State University, 2013.
  • Ivane Tsagareli, Maia Svanadze, Explicit solutions of the problems of elastostatics for an elastic circle with double porosity, Mechanics Research Communications, vol. 46, 2012, 76-80, Elsevier, 2012.
  • Ivane Tsagareli, Maia Svanadze, Numerical solution of the boundary value problem of statics in the theory of thermoelasticity with microtemperatures for circular ring, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, vol. 26, 79-83, Tbilisi State University, 2012.
  • Ivane Tsagareli, The solution of the stress problem of the theory of thermoelasticity with microtemperatures for a circular ring, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, vol. 38, 62-68, Tbilisi State University, 2012.
  • Ivane Tsagareli, Maia Svanadze, Boundary value problems of statics in the theory of thermoelasticity with microtemperatures for an elastic plane with a circular hole, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, vol. 25, 125-129, Tbilisi State University, 2011.
  • Ivane Tsagareli, Maia Svanadze, Solution of the problems of elastostatics for double porous an elastic plane with a circular hole. The uniqueness theorems, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, vol. 36-37, 101-107, Tbilisi State University, 2011.
  • Ivane Tsagareli, The solution of the first boundary value problem of elastostatics for double porous plane with a circular hole, Bulletin of TICMI, vol.15, 1-4, Tbilisi State University, 2011.
  • Ivane Tsagareli, Maia Svanadze, Explicit solution of the boundary value problem of the theory of thermoelasticity with microtemperatures for elastic circle, PAMM. Proc. Math. Mech. 11, 2011, pp. 697-698., Institute of Mathematics and Mechanics, 2011.
  • Ivane Tsagareli, Maia Svanadze, Explicit Solution of the Boundary Value Problems of the Theory of Elasticity for Solids with Double porosity, International Conference GAMM 2010, 22-26 March, Karlsruhe, Germany, GAMM, 2010.
  • Ivane Tsagareli, Maia Svanadze, Explicit solution of the boundary value problems of the theory of elasticity for solids with double porosity, PAMM -Proc. Appl. Math. Mech. - 2010, 10, pp. 337-338, Institute of Mathematics and Mechanics, 2010.
  • Ivane Tsagareli, Maia Svanadze, The solution of the stress boundary value problem of elastostatics for double porous plane with a circular hole, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, vol. 24, 130-133, Tbilisi State University, 2010.
  • Ivane Tsagareli, The contact problem of statics for a thermoelastic mixture, AMIM (Applied Mathematics, Informatics and Mechanics) vol. 14, pp. 62-70, Tbilisi University Press , 2009.
  • Ivane Tsagareli, David Toradze, Boundary-Contact Problems of Thermoelasticity of Binary Mixtures for a Multilayer Ring and Circle, AMIM (Applied Mathematics, Informatics and Mechanics), vol.14 (1), 71-78, Tbilisi State University, 2009.
  • Ivane Tsagareli, The Solution of the Boundary-contact Value Problems of thermoelasticity binary Mixtures for the circle and for circular Ring, International Conference on “Modern Problems in Applied Mathematics” , Tbilisi University Press, 2008.
  • David Toradze, Ivane Tsagareli, The principal contact problem for the elastic mixture, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, vol. 34, 43-45, Tbilisi State University, 2008.
  • Ivane Tsagareli, SOLUTION TO THE BOUNDARY VALUE PROBLEMS OF STATICS OF THERMOELASTICITY THEORY OF BINARY MIXTURE FOR CIRCLE AND CIRCLE EXTERNAL DOMAIN , ISAAC conference Complex analysis, Partial differential equations and Mechanics of continua, Tbilisi University Press , 2007.
  • Ivane Tsagareli, Solution to the boundary value problems of statics of thermoelasticity theory of binary mixture for circle and circle external domain, AMIM (Applied Mathematics, Informatics and Mechanics) vol.12,no.1.109-115., Tbilisi University Press , 2007.
  • Ivane Tsagareli, Solution of the first boundary value problems of statics of the theory of thermoelastic mixture for a disc, Reports of Enlarged Session of the Seminar of VIAM. vol. 20, no.2, pp. 32-36 ., Tbilisi University Press , 2005.
  • Ivane Tsagareli, The Solution of the Boundary-Contact Problems of Statics of the Theory of Elastic Mixtures for Compound Circle. , Reports of Enlarged Session of the Seminar of VIAM, Vol. 18, 81-84., Tbilisi University Press , 2003.
  • David Toradze, Ivane Tsagareli, The Solution of the Boundary-Contact Problems of Statics of the Theory of Elastic Mixtures for Compound Circle, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, vol. 18 (1-2), , Tbilisi State University, 2003.