Former member

Anton Tkachuk

Dr.-Ing.

Vita

  • 1986: Born in Kharkiv, Ukraine
  • 2002: Abitur at Phisics and Mathematics Liceum #27, Kharkiv, Ukraine
  • 20022006: Bachelor's degree in mechanical engineering, National Technical University "KhPI", Kharkiv, Ukraine
  • 20062007: Master's study in mechanical engineering, National Technical University "KhPI", Kharkiv, Ukraine
  • 20072009: Student of international master program COMMAS (Computational Mechanics of Materials and Structures) at the University of Stuttgart (MSc.)
  • 2008: Master's degree in mechanical engineering, National Technical University "KhPI", Kharkiv, Ukraine, thesis: "Thermoelastic contact problem of press-mould dies"
  • 20092014: Scientific staff at the Institute for Structural Mechanics, University of Stuttgart
  • 2013: Ph.D. (Dr.-Ing.), University of Stuttgart: "Variational methods for consistent singular and scaled mass matrices"
  • 20142015: Postdoctoral fellow at University of Colorado Boulder, USA
  • 20152020: Postdoc at the Institute for Structural Mechanics, University of Stuttgart

Prizes

  • 2015: Journal of Mechanical Design, Editors’ Choice Paper Award for the paper (extern): Maute, K., Tkachuk, A., Wu, J., Qi, H. J., Ding, Z., and Dunn, M. L. Level set topology optimization of printed active composites. Journal of Mechanical Design, 137(11):111402, 2015.
  • 20162017: DAAD research mobility program with IT AS Prague

Research

  • Dynamics and mass scaling
  • Computational contact mechanics
  • Crashsimulation
  • Shells, thermoelasticity, solidification, deformation of press-moulds

Publications

Articles in journals

  1. Mracko, M., Kober, J., Kolman, R., Prevorovský, Z., Tkachuk, A., & Plešek, J. (2020). Finite element method based computational time reversal in elastodynamics: Refocusing, reconstruction and its numerical sensitivity. Mathematics and Computers in Simulation. https://doi.org/10.1016/j.matcom.2020.11.004
  2. Tkachuk, A. (2020). Customization of reciprocal mass matrices via log-det heuristic. International Journal for Numerical Methods in Engineering, 121, 690–711. https://doi.org/10.1002/nme.6240
  3. Tkachuk, A. (2020). Reciprocal mass matrices and a feasible time step estimator for finite elements with Allman’s rotations. International Journal for Numerical Methods in Engineering, 122, 1401–1422. https://doi.org/10.1002/nme.6583
  4. Schäuble, A.-K., Tkachuk, A., & Bischoff, M. (2018). Time step estimates for explicit dynamics with reciprocal mass matrices. Computers & Structures, 202, 74–84. https://doi.org/10.1016/j.compstruc.2018.03.005
  5. Kopacka, J., Tkachuk, A., Gabriel, D., Kolman, R., Bischoff, M., & Plešek, J. (2017). 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, 1607–1629. https://doi.org/10.1002/nme.5712
  6. Schäuble, A.-K., Tkachuk, A., & Bischoff, M. (2017). Variationally consistent inertia templates for B-spline- and NURBS-based FEM: Inertia scaling and customization. Computer Methods in Applied Mechanics and Engineering, 326, 596–621. https://doi.org/10.1016/j.cma.2017.08.035
  7. Asmolovskiy, N., Tkachuk, A., & Bischoff, M. (2015). Numerical approaches to stability analysis of cylindrical composite shells based on load imperfections. Engineering Computations, 32. https://doi.org/10.1108/EC-10-2013-0246
  8. Maute, K., Tkachuk, A., Wu, J., Qi, H. J., Ding, Z., & Dunn, M. L. (2015). Level Set Topology Optimization of Printed Active Composites. Journal of Mechanical Design, 137. https://doi.org/10.1115/1.4030994
  9. Tkachuk, A., & Bischoff, M. (2015). 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, 435–469. https://doi.org/10.1002/nme.4805
  10. Tkachuk, A., & Bischoff, M. (2014). Local and global strategies for optimal selective mass scaling. Computational Mechanics, 53, 1197–1207. https://doi.org/10.1007/s00466-013-0961-5
  11. Tkachuk, A., Wohlmuth, B., & Bischoff, M. (2013). Hybrid-mixed discretization of elasto-dynamic contact problems using consistent singular mass matrices. International Journal for Numerical Methods in Engineering, 94, 473–493. https://doi.org/10.1002/nme.4457
  12. Tkachuk, A., & Bischoff, M. (2013). Variational methods for selective mass scaling. Computational Mechanics, 52, 563–570. https://doi.org/10.1007/s00466-013-0832-0

Articles in proceedings

  1. Tkachuk, A., Kolman, R., Gonzalez, J. A., Bischoff, M., & Kopacka, J. (2019). Time step estimates for reciprocal mass matrices using Ostrowski’s bounds. Proc. 7th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, M. Papadrakakis and M. Fragiadakakis (eds.), Crete, Greece, June 24-26. 2019. https://doi.org/10.7712/120119.6956.18956
  2. Gabriel, D., Tkachuk, A., Kopačka, J., Kolman, R., Mračko, M., Bischoff, M., & Plešek, J. (2017). Estimation of stability limit based on Gershgorin’s theorem for explicit contact-impact analy-sis Signorini problem using bipenalty approach. 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. https://doi.org/10.7712/120117.5494.18027
  3. Kolman, R., Kopačka, J., Tkachuk, A., Gabriel, D., González, J., & Bischoff, M. (2017). A robust explicit finite element algorithm with bipenalty stabilization for contact-impact problems. 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. https://doi.org/10.18419/opus-9334
  4. Tkachuk, A., Matzen, M. E., Kolman, R., & Bischoff, M. (2017). Singular mass matrices for isogeometric finite element analysis of dynamic contact. 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. https://doi.org/10.18419/opus-9334
  5. Schäuble, A.-K., Tkachuk, A., & Bischoff, M. (2014). Variationelle Methoden zur Massenskalierung für eine effizientere explizite Zeitintegration in der Dynamik. K.-U. Bletzinger, N. Gebbeken, R. Fisch (eds.): Berichte der Fachtagung Baustatik - Baupraxis 12., 705–713.
  6. Tkachuk, A., & Bischoff, M. (2013). Applications of variationally consistent selective mass scaling in explicit dynamics. 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.
  7. Mangold, O., Prohl, R., Tkachuk, A., & Trickov, V. (2012). Reduction of Numerical Sensitivities in Crash Simulations on HPC-Computers (HPC-10). 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, 631–636. https://doi.org/10.1007/978-3-642-23869-7_46
  8. Tkachuk, A., & Bischoff, M. (2011). 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.
  9. Tkachuk, A. (2010). A contact-stabilized Newmark method for coupled dynamical thermo-elastic problem. 3rd International Conference on Nonlinear Dynamic, September 21-24, 2010, Kharkov, Ukraine.

Chapters in collections

  1. Eck, C., Mangold, O., Prohl, R., & Tkachuk, A. (2013). 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 (pp. 547–560). https://doi.org/10.1007/978-3-319-02165-2_48
  2. Eck, C., Kovalenko, Y., Mangold, O., Prohl, R., Tkachuk, A., & Trickov, V. (2013). 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 (pp. 679–697). https://doi.org/10.1007/978-3-642-33374-3_39

Doctoral Thesis

  1. Tkachuk, A. (2013). Variational methods for consistent singular and scaled mass matrices. Doktorarbeit, Bericht Nr. 60, Institut für Baustatik und Baudynamik, Universität Stuttgart. https://doi.org/10.18419/opus-517

Presentations

Anton Tkachuk. Higher order reciprocal mass matrices via heuristic customization. 8th GACM Colloquium on Computational Mechanics (GACM 2019), Kassel, Germany, August 28–30, 2019.

Anton Tkachuk. Direct methods for construction of reciprocal mass matrices in explicit dynamics. 10th International Conference on Mathematical Problems of Mechanics of Nonhomogeneous Structures, September 17–20, 2019 , L’viv, Ukraine.

Anton Tkachuk, Radek Kolman, Jose A. Gonzalez, Manfred Bischoff, Jan Kopacka. Time step estimates for reciprocal mass matrices using Ostrowski's bounds. 7th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, M. Papadrakakis and M. Fragiadakakis (eds.), Crete, Greece, June 24–26. 2019.

Anton Tkachuk, Anne Schäuble, Manfred Bischoff. Time step estimates for explicit dynamics with reciprocal mass matrices. 89th Annual Meeting of International Association of Applied Mathematics and Mechanics (GAMM 2018), Munich, 19.–23. March, 2018.

Anton Tkachuk, Anne Schäuble, Manfred Bischoff. Reciprocal Mass Matrices for Transient Elastodynamics. Conference on Mathematics of Wave Phenomena, Karlsruhe, 23.–27. July, 2018.

Anton Tkachuk, Jose A. Gonzales, Manfred Bischoff. Assessment of the reflection-transmission error for reciprocal mass matrices. The Thirteenth International Conference on Computational Structures Technology, Sitges, Spain, 4.–6. September, 2018.

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 (COMPDYN 2017), Rhodes, Greece, 15.–17. June, 2017.

Anton Tkachuk, Martina Matzen, Radek Kolman, Manfred Bischoff. Singular mass matrices for isogeometric finite element analysis of dynamic contact. 7th GACM Colloquium on Computational Mechanics, Stuttgart, 11.–13. October, 2017.

Anton Tkachuk, Manfred Bischoff. Efficient tetrahedral finite elements for explicit dynamics. 12th World Congress on Computational Mechanics (WCCM XII), Seoul, South Korea, 24–29 July 2016.

Anton Tkachuk, Manfred Bischoff. Alternative mass matrices and inertia patch test. 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2015), Crete,Greece, 25.–27. May, 2015.

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 (WCCM XI - ECCM V - ECFD VI), Barcelona, Spain, 20–25 July 2014.

Anton Tkachuk, Manfred Bischoff. A global selective mass scaling technique using polynomial matrix representation. 5th GACM Colloquium on Computational Mechanics, Hamburg, 30. September – 2. October, 2013.

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 (COMPDYN 2013), Kos,Greece, 12.–14. June, 2013.

Anton Tkachuk, Wohlmuth, Manfred Bischoff. Discretization of dynamic contact using singular hybrid mass matrices. 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCM VI), Viena, Austria, 10.–14. September, 2012.

Anton Tkachuk, Manfred Bischoff. Buckling under contact constraints as a source of scatter in car crash simulations. International Conference on Computational Contact Mechanics, Hannover, 15.–17. June, 2011.

Anton Tkachuk, Manfred Bischoff. A contact-stabilized Newmark method for coupled dynamical thermo-elastic problem. 3rd International Conference on Nonlinear Dynamics (ND 2010), Kharkiv, Ukraine, 21.–24. September, 2010.

Anton Tkachuk, Manfred Bischoff. A frictional mortar contact formulation using dual Lagrange multipliers.. 3rd GACM Colloquium on Computational Mechanics, Hannover, 21.–23. September, 2009.

Further Activities in the Scientific Community

  • 2018: 2nd International Conference on Advanced Modelling of Wave Propagation in Solids, Prague (Scientific Committee)
  • 2017: 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry (GACM 2017), 11–13 October 2017, Stuttgart, Germany (Local Organizing Team)
  • 2017: Mini Symposium “Non-Linear Dynamics and Wave Propagation” at COMPDYN 2017, Rhodos.
  • 2016: Mini Symposium “Advanced Numerical Modelling and Methods in Impact Problems and Wave Propagation Phenomena in Solids” at WCCM 2016, Seoul.
  • 2015: Mini Symposium ”Advanced Numerical Modelling and Methods in Impact Problems and Wave Propagation Phenomena in Solids” at joint GACM 2015 and YIC ECCOMAS 2015 conference, Aachen
  • 2013: 3rd International Conference on Particle-based Methods (Particles 2013), 18–20 September 2013, Stuttgart, Germany (Local Organizing Team)
  • International Journal for Numerical Methods in Engineering (IJNME)
  • Applied Mathematics and Computation (AMC)
  • Applied Mathematical Modelling (APM)

Teaching

  • Computational Mechanics of Structures (M.Sc.), exercise, winter terms 2009/2010, 2010/2011, 2011/2012
  • Advanced Computational Structural Mechanics (M.Sc.), exercise, summer terms 2010, 2011, 2012
  • Practical Course on Computational Mechanics, lectures and exercises using ANSYS, LS-DYNA, LS-PrePost, summer 2015
  • Computational Mechanics of Structures (M.Sc.), lecture, winter term 2015/2016
  • ECCOMAS summer school on dynamics, lectures on FEA in dynamics, summer 2016
  • Computational Contact Mechanics (M.Sc.), newly developed lecture, winter terms 2016/2017, 2017/2018, 2018/2019, 2019/2020, 2020/2021
  • Advanced Computational Structural Mechanics, lecture and exercise, summer term 2017
  • Variational Methods in Structural Dynamics, newly developed lecture, summer terms 2018, 2019, 2020

Supervision of Theses

  1. Kaushik Abhyankar. Improving stability and robustness of algorithms for gradient-based topology optimization (20/05). Master Thesis. Supervisor: Anton Tkachuk (IBB) und Nikolai Gerzen, Peter Clausen (Dassault Systems Deutschland GmbH). Institute for Structural Mechanics, University of Stuttgart. 2020.
  2. Chen Liang. Substructuring and model order reduction (20/11). Master Thesis. Supervisor: Anika Strauß und Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2020.
  3. Xiaolong Yang. Analysis and design of multiple tuned mass dampers for flexible structures (20/19). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2020.
  4. Alexander Keiser. Thermally induced pull of curved pipes (19/09). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2019.
  5. Berk Hakbilen. Simulative and Experimental Analysis of the Influence of Posture on Dynamic Seat Transfer Function (19/10). Master Thesis. Supervisor: Anton Tkachuk und Christoph Rudhart (Daimler AG). Institute for Structural Mechanics, University of Stuttgart. 2019.
  6. Muhammad Ahmed. Microscale contact analysis of heterogeneous materials (18/02). Master Thesis. Supervisor: Anton Tkachuk (IBB) und Daniel Nadermann (Robert Bosch GmbH). Institute for Structural Mechanics, University of Stuttgart. 2018.
  7. Nur Raihana Sukri. Modal analysis with the trimmed NURBS finite elements using LS-DYNA (18/19). Master Thesis. Supervisor: Anton Tkachuk und Rebecca Thierer. Institute for Structural Mechanics, University of Stuttgart. 2018.
  8. Li Luo. Modalanalyse einer planaren Rohrleitung mit Vorspannung Effekte (18/23). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2018.
  9. Konstantinos Kaplanis. Explizite Finite-Elemente-Analyse von Balken- und Rahmenstrukturen (17/11). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2017.
  10. Albert Taulera Campos. Structural analysis of steel sectional water tanks (17/15). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2017.
  11. Marc Font Vinets. Effect of trapped air on the crashworthiness of aluminum honeycomb structures (17/19). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2017.
  12. Jochen Bauer. Nicht-lineare dynamische Analyse einer 3D-Rohrleitung unter Erdbebenerregung (17/32). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2017.
  13. Mustafa Anjrini. Dynamic and quasi-static simulation of an elastic dome (16/03). Master Thesis. Supervisor: Anton Tkachuk und Layla Koohi. Institute for Structural Mechanics, University of Stuttgart. 2016.
    • Mohamed Moussa. Explicit Dynamic Contact Analysis (15/15). Master Thesis. Supervisor: Anne Schäuble, Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2015.
    • Hiva Mesgari. Thermal Analysis of Heating Elements Made of Electrical Conductive Thermoplastics (14/03). Master Thesis. Supervisor: Anne Schäuble, Anton Tkachuk (IBB) und G. Finnah (Robert Bosch GmbH). Institute for Structural Mechanics, University of Stuttgart. 2014.
    • Ernesto Rivera Murillo. Development of a Virtual Tractor Model for Durability Simulation (13/02). Master Thesis. Supervisor: Anton Tkachuk (IBB) und Patino Mario (John Deere GmbH & Co. KG). Institute for Structural Mechanics, University of Stuttgart. 2013.
    • Anne-Kathrin Schäuble. Isogeometric Galerkin Finite Elements in Time and Space (13/06). Master Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2013.
    • Nikolay Asmolovskiy. Elastohydrodynamic Coupling for Statically Reduced Finite Element Models (12/03). Master Thesis. Supervisor: Anton Tkachuk (IBB) und Dr. S. Solovyev (Robert Bosch GmbH). Institute for Structural Mechanics, University of Stuttgart. 2012.
      • Ramesh Mohan C. Natarajan. Investigation of numerical sensitivities in car crash simulations (12/04). Master Thesis. Supervisor: A. Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2012.
      • Gustavo Rodolfo Ramirez Huaccho. Determination of an additional factor for ball bearings in super large hydraulic shovels (12/06). Master Thesis. Supervisor: Anton Tkachuk (IBB) und Peter Brück (Komatsu Mining Germany GmbH). Institute for Structural Mechanics, University of Stuttgart. 2012.
      • Pandian Kumaraguru. Adjustment of Crash Parameters for Component Testing (12/10). Master Thesis. Supervisor: Anton Tkachuk (IBB) und Philipp Straßburger (DLR). Institute for Structural Mechanics, University of Stuttgart. 2012.
      • Furkan Gültekin. Geometry Design Optimization in Transient FEA (11/01). Master Thesis. Supervisor: Anton Tkachuk (IBB) und Peter Bruggmüller (Hilti AG, Liechtenstein). Institute for Structural Mechanics, University of Stuttgart. 2011.
        1. Hannes Imhof. Vergleich verschiedener Methoden zur Schwingungstilgung im Hochhausbau (16/14). Bachelor Thesis. Supervisor: Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2016.
        1. Anika Strauß. Numerische Ableitungen - Untersuchung und Anwendung verschiedener Methoden (18/10). Seminar Thesis. Supervisor: Steffen Roth und Anton Tkachuk. Institute for Structural Mechanics, University of Stuttgart. 2018.
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