Ing. Ján Kopačka, Ph.D.

Scopus Author ID: 53866563700
Google scholar ID: gfV0GjYAAAAJ

Education
2010 − 2018: Doctoral study at Faculty of Mechanical Engineering, CTU in Prague, study programme Mechanics of solids, deformable bodies and continua
2004 − 2010: Graduate study at Faculty of Mechanical Engineering, CTU in Prague, study programme Engineering mechanics and mechatronics
2000 − 2004: Secondary School of Engineering, VOŠ, SPŠ a OV Čáslav, study programme Mechatronics

Stays abroad
October 2018 - March 2019: Aerospace Mechanics Research Center, University of Colorado Boulder, Colorado, USA (six months)
April 2016: Institute for Structural Mechanics, University of Stuttgart, Germany (one month)

Honors and Awards
2018: Babuška prize (1st place in category of doctoral theses)
2010: Babuška prize (1st place in category of master's theses)

Professional Experience
2021 − present: Head of Laboratory of Computational Solid Mechanics D4 IT CAS
2021 − present: Academic Staff Member at Department of Mechanics and Materials, Faculty of Transportation Sciences, Czech Technical University in Prague
2021 − present: Consultant at FEM Consulting, s. r. o.
2013 − 2021: Researcher in Research Center of Manufacturing Technology
2010 − 2012: Design engineer in VAMET s.r.o.
2009 − present: Researcher in Institute of Thermomechanics AS CR, v. v. i.

Scientific Societies Membership
Czech Society for Mechanics

Participation in projects

Selected publications

Impact Publications
J. Novotný, J. Kopačka, O. Ježek, and M. Čertíková, Topology optimization in engineering - the SIMP method and filtering techniques with industrial application, in Applications of mathematics, 2022 (submitted).

P. Šulc, J. Kopačka, L. Pešek, and V. Bula, Hyperelastic proportional damping for numerical non-conservative dynamic models of hard rubbers under large deformations, in International Journal of Non-Linear Mechanics, vol. 137, p. 103823, 2021, doi: 10.1016/j.ijnonlinmec.2021.103823

R. Kolman, J. Kopačka, J. A. González, S. S. Cho, and K. C. Park, Bi-penalty stabilized technique with predictor–corrector time scheme for contact-impact problems of elastic bars, in Mathematics and Computers in Simulation, vol. 189, pp. 305–324, 2021, doi: 10.1016/j.matcom.2021.03.023

J. A. González, J. Kopačka, R. Kolman, and K. Park, Partitioned formulation of contact‐impact problems with stabilized contact constraints and reciprocal mass matrices, in Int. J. Numer. Methods Eng, vol. 122, no. 17, pp. 4609–4636, 2021, doi: 10.1002/nme.6739

J. A. González, J. Kopačka, R. Kolman, S. S. Cho, and K. C. Park, Inverse mass matrix for isogeometric explicit transient analysis via the method of localized Lagrange multipliers: Inverse mass matrix for IGA via the method of LLMs, in Int. J. Numer. Methods Eng, vol. 117, no. 9, pp. 939–966, 2019, doi: 10.1002/nme.5986

J. Kopačka, A. Tkachuk, D. Gabriel, R. Kolman, M. Bischoff, J. Plešek, On stability and reflection-transmission analysis of the bipenalty method in contact-impact problems: a one-dimensional, homogeneous case study, in Int. J. Numer. Methods Eng., p, 1-25, 2017, doi: 10.1002/nme25712

R. Kolman, M. Okrouhlík, A. Berezovski, D. Gabriel, J. Kopačka, J. Plešek, B-spline based finite element method in one-dimensional discontinuous elastic wave propagation, in Applied Mathematical Modelling, vol. 46, p. 382-395, 2017, doi: 10.1016/j.apm.2017.01.077

J. Kopačka, D. Gabriel, J. Plešek, M. Ulbin, Assessment of methods for computing the closest point projection, penetration and gap functions in contact problems, in Int. J. Numer. Methods Eng., vol. 105, no. 11, p. 803-833, 2015, doi: 10.1002/nme.4994.

R. Kolman, S. V. Sorokin, B. Bastl, J. Kopačka, J. Plešek, Isogeometric analysis of free vibration of simple shaped elastic samples, in Journal of the Acoustical Society of America, vol. 137, no. 4, p. 2089-2100, 2015, doi: 10.1121/1.4916199.

Book characters
J.Kopačka, D. Gabriel, R. Kolman, J. Plešek, A large deformation frictionless contact treatment in NURBS-based isogeometric analysis, in series Computational and Experimental Methods in Structures - Advances in computational coupling and contact mechanics, publisher. World Scientific, p. 416, 2018, ISBN: 978-1-78634-479-3, doi: 10.1142/9781786344786_0003

Conference papers
J.Kopačka, D. Gabriel, R. Kolman, J. Plešek, A symmetry preserving contact treatment in isogeometric analysis, in Proceedings of the 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, Stuttgart, Germany, October 11-13, 2017. doi: 10.18419/opus-9334 pdf

J.Kopačka, D. Gabriel, R. Kolman, J. Plešek, On the contact pressure oscillations of an isogeometric contact-impact algorithm, in YIC GACM 2015, Aachen, Germany, July 20-22, 2015. pdf

J.Kopačka, D. Gabriel, R. Kolman, J. Plešek, Isogeometric contact analysis: A study of an explicit dynamic contact algorithm, in Proc. VKMKP 2014, Pilsen, Czech Republic, October 27, 2014. pdf

J. Kopačka, D. Gabriel, J. Plešek, R. Kolman, Influence of mass lumping techniques on contact pressure oscillations in explicit finite element contact-impact algorithm based on isogeometric analysis with NURBS, in Proc. SVCS International Symposium on Stability, Vibration, and Control of Machines and Structures, Belgrade, Serbia, July 3-5, 2014. link

J. Kopačka, D. Gabriel, R. Kolman, J. Plešek, M. Ulbin, Studies in numerical stability of explicit contact-impact algorithm to the finite element solution of wave propagation problems, in Proc. 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos Island, Greece, June 12-14, 2013. pdf

J. Kopačka, R. Kolman, D. Gabriel, J. Plešek, Frictionless contact of elastic bodies: Comparison of treatment in finite element analysis and isogeometric analysis, in Proc. Engineering Mechanics 2012, Svratka, Czech Republic, May 14-17, 2012. pdf

J. Kopačka, D. Gabriel, J. Plešek, M. Ulbin, Utilising optimization methods for computing of normal vector to contact surface, in Proc. Engineering Mechanics 2010, Svratka, Czech Republic, May 10-13, 2010. pdf

Posters
J.Kopačka, D. Gabriel, R. Kolman, J. Plešek, Performance and implementation aspects of an isogeometric mortar-based contact algorithm, in MKP 2015, Prague, Czech Republic, November 26, 2015. pdf

J.Kopačka, D. Gabriel, R. Kolman, J. Plešek, On the contact pressure oscillations of an isogeometric contact-impact algorithm, in AC.CES 2015, Aachen, Germany, July 23-24, 2015. pdf

J.Kopačka, D. Gabriel, J. Plešek, M. Ulbin, Computation of the distance between a point and a quadratic surface with application in contact mechanics, in EUROMECH Colloquium 540, Advanced Modelling of Wave Propagation in Solids, Prague, Czech Republic, October 1-3, 2012. pdf

PhD Thesis
J. Kopačka, Efficient and robust numerical solution of contact problems by the finite element method, PhD Thesis, 2018. pdf

Master's Thesis
J. Kopačka, Assessment of numerical procedures for determination of the penalty function in contact problems, Master's thesis, 2010. pdf

Grants