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Research Associate

Photo of A. Tkachuk

Dr.-Ing. Anton Tkachuk
M.Sc.

Institute for Structural Mechanics
Room 1.121, 1. floor
Pfaffenwaldring 7
70550 Stuttgart
Germany

Phone: ++49 711 685-66574
Fax: ++49 711 685-66130

Research

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About Myself

  • 1986: Born in Kharkiv, Ukraine
  • 2002: Abitur at Phisics and Mathematics Liceum #27, Kharkiv, Ukraine
  • 2002 - 2006: Bachelor's degree in mechanical engineering, National Technical University "KhPI", Kharkiv, Ukraine
  • 2006 - 2007: Master's study in mechanical engineering, National Technical University "KhPI", Kharkiv, Ukraine
  • 2007 - 2009: Student of international master program COMMAS (Computational Mechanics of Materials and Structures) at Universität Stuttgart
  • 2008: Master's degree in mechanical engineering, National Technical University "KhPI", Kharkiv, Ukraine, thesis: Thermoelastic contact problem of press-mould dies
  • Since 2009: Research associate at the Institute for Structural Mechanics, Universität Stuttgart
  • 2013: Dr.-Ing. thesis Variational methods for consistent singular and scaled mass matrices
  • 2014: Postdoctoral fellow at Colorado Univercity at Boulder, USA
  • sinse 2015: Postdoctoral fellow at the Institute for Structural Mechanics, Universität Stuttgart

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Publications

  • Anne-Kathrin Schäuble, Anton Tkachuk, Manfred Bischoff
    Time step estimates for explicit dynamics with reciprocal mass matrices
    Computers & Structures, 202, 2018, pp. 74-84
    Abstract   |      |   DOI: 10.1016/j.compstruc.2018.03.005

  • A. Tkachuk, M. Matzen, R. Kolman and M. Bischoff
    Singular mass matrices for isogeometric finite element analysis of dynamic contact
    In: Proceedings of the 7th GACM Colloquium on Computational Mechanics for Young Sci-entists from Academia and Industry, M. von Scheven, M.-A. Keip and N. Karajan (eds.), Stuttgart, Germany, October 11-13, 2017
    DOI: 10.18419/opus-9334

  • Anne-Kathrin Schäuble, Anton Tkachuk, Manfred Bischoff
    Variationally consistent inertia templates for B-spline- and NURBS-based FEM: Inertia scaling and customization
    Computer Methods in Applied Mechanics and Engineering, 326, 2017, pp. 596-621
    Abstract   |      |   DOI: 10.1016/j.cma.2017.08.035

  • D. Gabriel, A. Tkachuk, J. Kopačka, R. Kolman, M. Mračko, M. Bischoff and J. Plešek
    Estimation of stability limit based on Gershgorin’s theorem for explicit contact-impact analy-sis Signorini problem using bipenalty approach
    In: Proc. 6th ECCOMAS Thematic Conference on Computational Methods in Structural Dy-namics and Earthquake Engineering, M. Papadrakakis and M. Fragiadakakis (eds.), Rhodes Island, Greece, June 15-17, 2017
    DOI: 10.7712/120117.5494.18027

  • Ján Kopacka, Anton Tkachuk, Dušan Gabriel, Radek Kolman, Manfred Bischoff, Jirí Plešek
    On stability and reflection-transmission analysis of the bipenalty method in contact-impact problems: A one-dimensional, homogeneous case study
    International Journal for Numerical Methods in Engineering, 113, 2017, pp. 1607-1629
    Abstract   |      |   DOI: 10.1002/nme.5712

  • R. Kolman, J. Kopačka, A. Tkachuk, D. Gabriel, J. González and M. Bischoff
    A robust explicit finite element algorithm with bipenalty stabilization for contact-impact problems
    In: Proceedings of the 7th GACM Colloquium on Computational Mechanics for Young Sci-entists from Academia and Industry, M. von Scheven, M.-A. Keip and N. Karajan (eds.), Stuttgart, Germany, October 11-13, 2017
    DOI: 10.18419/opus-9334

  • Anton Tkachuk, Manfred Bischoff
    Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling
    International Journal for Numerical Methods in Engineering, 101, 2015, pp. 435–469
    Abstract   |      |   DOI: 10.1002/nme.4805

  • Nikolay Asmolovskiy, Anton Tkachuk, Manfred Bischoff
    Numerical approaches to stability analysis of cylindrical composite shells based on load imperfections
    Engineering Computations, 32, 2015
    Abstract   |      |   DOI: 10.1108/EC-10-2013-0246

  • Anton Tkachuk, Manfred Bischoff
    Local and global strategies for optimal selective mass scaling
    Computational Mechanics, 53, 2014, pp. 1197-1207
    Abstract   |      |   DOI: 10.1007/s00466-013-0961-5

  • A.-K. Schäuble, A. Tkachuk, M. Bischoff
    Variationelle Methoden zur Massenskalierung für eine effizientere explizite Zeitintegration in der Dynamik
    In: K.-U. Bletzinger, N. Gebbeken, R. Fisch (eds.): Berichte der Fachtagung Baustatik - Baupraxis 12., 2014, pp. 705 - 713
    Abstract   |   Full text

  • Anton Tkachuk, Manfred Bischoff
    Variational methods for selective mass scaling
    Computational Mechanics, 52, 2013, pp. 563-570
    Abstract   |      |   DOI: 10.1007/s00466-013-0832-0

  • Christiana Eck, Oliver Mangold, Raphael Prohl, Anton Tkachuk
    Reduction of Numerical Sensitivities in Crash Simulations on HPC-Computers (HPC-10)
    In: Nagel, Wolfgang E.; Kröner, Dietmar H.; Resch, Michael M. (Eds.): High Performance Computing in Science and Engineering ‘12. Transactions of the High Performance Computing Center Stuttgart. Springer, 2013, pp. 547-560
    Abstract   |   DOI: 10.1007/978-3-319-02165-2_48

  • Christiana Eck, Yevgeniya Kovalenko, Oliver Mangold, Raphael Prohl, Anton Tkachuk, Vladimir Trickov
    Reduction of Numerical Sensitivities in Crash Simulations on HPC-Computers (HPC-10)
    In: Nagel, Wolfgang E.; Kröner, Dietmar H.; Resch, Michael M. (Eds.): High Performance Computing in Science and Engineering '13. Transactions of the High Performance Computing Center, Stuttgart. Springer, 2013, pp. 679-697
    Abstract   |   DOI: 10.1007/978-3-642-33374-3_39

  • A. Tkachuk and M. Bischoff
    Applications of variationally consistent selective mass scaling in explicit dynamics
    In: Proc. 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dy-namics and Earthquake Engineering, M. Papadrakakis, V. Papadopoulos and V. Plevris (eds.), Kos Island, Greece, 12–14 June, 2013

  • Anton Tkachuk, Barbara Wohlmuth and Manfred Bischoff
    Hybrid-mixed discretization of elasto-dynamic contact problems using consistent singular mass matrices
    International Journal for Numerical Methods in Engineering, 94, 2013, pp. 473–493
    Abstract   |      |   DOI: 10.1002/nme.4457

  • Oliver Mangold, Raphael Prohl, Anton Tkachuk, Vladimir Trickov
    Reduction of Numerical Sensitivities in Crash Simulations on HPC-Computers (HPC-10)
    In: Wolfgang E. Nagel, Dietmar B. Kröner, Michael M. Resch, (Eds.): High Performance Computing in Science and Engineering '11. Transactions of the High Performance Computing Center Stuttgart. Springer, 2012, pp. 631-636
    Abstract   |   DOI: 10.1007/978-3-642-23869-7_46

  • Anton Tkachuk, Manfred Bischoff
    Buckling under Contact Constraints as a Source of Scatter in Car Crash Simulations
    II International Conference on Computational Contact Mechanics 15-17 June 2011, Hannover, Germany, 2011
    Full text

  • Anton Tkachuk
    A contact-stabilized Newmark method for coupled dynamical thermo-elastic problem
    3rd International Conference on Nonlinear Dynamic, September 21-24, 2010, Kharkov, Ukraine, 2010
    Abstract   |   Full text

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Invited Talks and Summer Schools

  • A. Tkachuk, A.-K. Schaeuble, M. Bischoff
    Variational selective mass scaling methods for explicit dynamics
    DCAMM Seminar, DTU 16 September, 2015, Lyngby, Denmark
  • A. Tkachuk
    Finite element method III, Direct time integration in dynamics II, Dynamic contact problems
    An ECCOMAS Advanced Course on Computational Structural Dynamics, 13-17 June, 2016, Prague, Czech Republic
  • A. Tkachuk
    Template variational principles in dynamics
    “ViVaCE Computational Mechanics Workshop” of Graduate School MUSIC, 18-20 May, 2016, Filderstadt, Germany
  • A. Tkachuk, A.-K. Schaeuble, M. Bischoff
    Variational Inertia Scaling for Explicit Dynamics
    Model reduction Seminar of 3rd Project Network, SimTech, 6 July, 2017, Stuttgart, Germany
  • A. Tkachuk, A.-K. Schaeuble, M. Bischoff
    Recent advances in reciprocal mass matrices
    Seminar of Institute of Thermomechanics, The Czech Academy of Sciences, 17 August, 2017, Prague, Czech Republic

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Presentations on int. Conferences

  • A. Tkachuk, T. Cichosz, M. Bischoff:
    A Frictional Mortar Contact Formulation Using Dual Lagrange Multipliers
    3rd GACM Colloquium on Computational Mechanics, 21-23 September, 2009, Hannover , Germany
  • Anton Tkachuk:
    A contact-stabilized Newmark method for coupled dynamical thermo-elastic problem
    3rd International Conference on Nonlinear Dynamic, September 21‐24, 2010, Kharkov, Ukraine
  • Anton Tkachuk, Manfred Bischoff:
    Buckling under Contact Constraints as a Source of Scatter in Car Crash Simulations
    II International Conference on Computational Contact Mechanics 15-17 June 2011, Hannover, Germany
  • A. Tkachuk, B.I.Wohlmuth, M. Bischoff:
    Discretization of dynamic contact using singular hybrid mass matrices
    6th EUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING, September 10-14, 2012, Vienna, Austria
  • Manfred Bischoff, Anton Tkachuk:
    Variational Methods for Consistent Singular and Scaled Mass Matrices
    Advances in Computational Mechanics, February 24-27, 2013, San Diego, California, USA
  • Anton Tkachuk, Manfred Bischoff:
    Applications of variationally consistent selective mass scaling in explicit dynamics
    4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, June 12-14, 2013, Kos Island, Greece
  • Anton Tkachuk, Manfred Bischoff:
    A global selective mass scaling technique using polynomial matrix representation
    5th GACM Colloquium on Computational Mechanics, September 30 - October 2, 2013, Hamburg, Germany
  • Anton Tkachuk, Manfred Bischoff:
    Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling
    11th World Congress on Computational Mechanics, 20 - 25 July 2014, Barcelona, Spain
  • Anton Tkachuk, Manfred Bischoff:
    Alternative mass matrices and inertia patch tests
    5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, 25 - 27 May, 2015, Crete, Greece
  • Anton Tkachuk, Manfred Bischoff:
    Efficient tetrahedral finite elements for explicit dynamics
    12th World Congress on Computational Mechanics, 24 - 29 July, 2016, Seoul, South Korea
  • Anton Tkachuk, Manfred Bischoff:
    Simulation of Vibro-Impact Systems Using Reciprocal Mass Matrices
    5th International Conference on Nonlinear Dynamic, September 27 - 30, 2016, Kharkov, Ukraine
  • Anton Tkachuk, Manfred Bischoff:
    Assessment of the reflection-transmission error for reciprocal mass matrices
    6th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, 15 - 17 June, 2017, Rhodes, Greece

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Ph.D. Thesis

  • Anton Tkachuk
    Variational methods for consistent singular and scaled mass matrices
    Bericht Nr. 60, Institut für Baustatik und Baudynamik, Universität Stuttgart, 2013
    Abstract   |   Full text   |   DOI: 10.18419/opus-517

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Master Thesis

  • Anton Tkachuk
    A frictional mortar contact formulation using dual Lagrange multipliers (Nr. 09/4)
    Master Thesis. Institute of Structural Mechanics, University of Stuttgart
    Betreuer: Thomas Cichosz
    , 2009
    Abstract   |   

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