Publications

• 2024

  NOVÁK, L.; SHARMA,H.; SHIELDS, M. Physics-informed polynomial chaos expansions. Journal of Computational Physics, 2024, vol. 506, no. 1, ISSN: 1090-2716.
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  SHARMA, H.; NOVÁK, L.; SHIELDS, M. Physics-constrained polynomial chaos expansion for scientific machine learning and uncertainty quantification. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2024, vol. 431, no. 1, ISSN: 0045-7825.
  Detail | WWW

• 2023

  NOVÁK, L.; SHIELDS, M.; SADÍLEK, V.; VOŘECHOVSKÝ, M. LOCALIZED APPROXIMATIONS BY POLYNOMIAL CHAOS EXPANSIONS FOR HIGHLY NON-LINEAR FUNCTIONS. In UNCECOMP 2023 Proceedings. Athens, Greece: National Technical University of Athens, 2023. p. 158-164. ISBN: 9786185827021.
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  NOVÁK, L.; SHARMA, H.; SHIELDS, M. ON PHYSICALLY CONSTRAINED NON-INTRUSIVE POLYNOMIAL CHAOS EXPANSION. In UNCECOMP 2023 Proceedings. Athens, Greece: National Technical University of Athens, 2023. p. 151-157. ISBN: 9786185827021.
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  SPYRIDIS, P.; NOVÁK, L.; NOVÁK, D.; BERGMEISTER, K. Advanced semi-probabilistic methods for the design and assessment of concrete tunnel linings. In Expanding Underground. Knowledge and Passion to Make a Positive Impact on the World. USA: CRC Press/Balkema, 2023. p. 976-984. ISBN: 9781003348030.
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  NOVÁK, L.; LEHKÝ, D.; NOVÁK, D. Sensitivity analysis of Engineering Structures Utilizing Artificial Neural Networks and Polynomial Chaos Expansion. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Germany: Springer Science and Business Media Deutschland GmbH, 2023. p. 1-15. ISBN: 9783031255984.
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  KŘÍŽEK, M.; NOVÁK, L. Uncertainty Quantification of Existing Bridge using Polynomial Chaos Expansion. Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series, 2023, vol. 23, no. 2, p. 13-19. ISSN: 1804-4824.
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  NOVÁK, L.; NOVÁK, D. Recent Advances in Polynomial Chaos Expansion: Theory, Applications and Software. Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series, 2023, vol. 23, no. 2, p. 47-53. ISSN: 1804-4824.
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  TSAPETIS, D.; SHIELDS, M.; GIOVANIS, D.; OLIVIER, A.; NOVÁK, L.; CHAKROBORTY, P.; SHARMA, H.; CHAUHAN, M.; KONTOLATI, K.; VANDANAPU, L.; LOUKREZIS, D.; GARDNER, M. UQpy v4.1: Uncertainty quantification with Python. SoftwareX, 2023, vol. 24, no. 1, p. 1-7. ISSN: 2352-7110.
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  NOVÁK, D.; STRAUSS, A.; NOVÁK, L.; LEHKÝ, D.; ŠOMODÍKOVÁ, M.; LIPOWCZAN, M.; SLOWIK, O.; DOLEŽEL, J.; PUKL, R.; SATTLER, F.; APOSTOLIDI, E. Nonlinear probabilistic structural assessment: Findings from Austrian and Czech bridges. In EUROSTRUCT 2023 - European Association on Quality Control of Bridges and Structures: Digital Transformation in Sustainability. ce/papers. Berlin, Germany: Ernst & Sohn GmbH & Co. KG., 2023. p. 1242-1251. ISSN: 2509-7075.
  Detail | WWW | Full text in the Digital Library

  LEHKÝ, D.; NOVÁK, L.; NOVÁK, D. Surrogate Modeling for Stochastic Assessment of Engineering Structures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Germany: Springer Science and Business Media Deutschland GmbH, 2023. p. 388-401. ISBN: 9783031258909.
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  NOVÁK, L.; SHIELDS, M.; SADÍLEK, V.; VOŘECHOVSKÝ, M. Active learning-based domain adaptive localized polynomial chaos expansion. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2023, vol. 204, no. 1, ISSN: 0888-3270.
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• 2022

  NOVÁK, L.; KALA, Z.; NOVÁK, D. On the possibility of the utilizing polynomial chaos expansion for reliability-oriented sensitivity analysis. In AIP Conference Proceedings. AIP conference proceedings. New York, USA: American Institute of Physics Inc., 2022. p. 1-4. ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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  NOVÁK, L.; NOVÁK, D. SEMI-PROBABILISTIC ASSESSMENT OF EXISTING BRIDGE USING SIMPLIFIED METHODS FOR ESTIMATION OF VARIANCE. In Acta Polytechnica CTU Proceedings. Acta Polytechnica CTU Proceedings. Stellenbosch: Czech Technical University in Prague, 2022. p. 142-148. ISBN: 9788001070352. ISSN: 2336-5382.
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  SÝKORA, M.; NADOLSKI, V.; NOVÁK, L.; NOVÁK, D.; DIAMANTIDIS, D. PILOT COMPARISON OF SEMI-PROBABILISTIC METHODS APPLIED TO RC STRUCTURES WITH MULTIPLE FAILURE MODES. In Concrete Innovation for Sustainability Proceedings for the 6th fib International Congress 2022. Oslo, Norway: fib. The International Federation for Structural Concrete, 2022. ISBN: 978-2-940643-15-8.
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  NOVÁK, L. On distribution-based global sensitivity analysis by polynomial chaos expansion. COMPUTERS & STRUCTURES, 2022, vol. 267, no. 1, p. 1-14. ISSN: 0045-7949.
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  NOVÁK, L.; NOVÁK, D. Probabilistic Assessment And Sensitivity Analysis of Existing Concrete Bridge Via Surrogate Modeling. In Acta Polytechnica CTU Proceedings. Acta Polytechnica CTU Proceedings. Stellenbosch: Czech Technical University in Prague, 2022. p. 135-141. ISBN: 9788001070352. ISSN: 2336-5382.
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  NOVÁK, L.; ČERVENKA, J.; ČERVENKA, V.; NOVÁK, D.; SÝKORA, M. Comparison of advanced semi-probabilistic methods for design and assessment of concrete structures. Structural Concrete, 2022, vol. 1, no. 4, ISSN: 1751-7648.
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• 2021

  NOVÁK, L. Taylor Series Expansion for Functions of Correlated Random Variables. Proceedings of Juniorstav 2021. Brno, Česká republika: Vysoké učení technické v Brně, Fakulta stavební, 2021. p. 364-368. ISBN: 978-80-86433-75-2.
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  PAN, L.; NOVÁK, L.; NOVÁK, D.; LEHKÝ, D.; CAO, M. Neural network ensemble-based sensitivity analysis in structural engineering: Comparison of selected methods and the influence of statistical correlation. COMPUTERS & STRUCTURES, 2021, vol. 242, no. 1, p. 1-19. ISSN: 0045-7949.
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  NOVÁK, L.; NOVÁK, D. Semi-probabilistic assessment of prestressed concrete bridge. In 13th fib International PhD Symposium in Civil Engineering. 2021. p. 45-51. ISBN: 978-29-40-64311-0.
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  ŠOMODÍKOVÁ, M.; NOVÁK, L.; LIPOWCZAN, M.; VYHLÍDAL, M.; DOLEŽEL, J.; LEHKÝ, D.; NOVÁK, D.; PUKL, R. Probabilistic analysis and safety formats approaches applied for Czech bridge structures under the ATCZ190 SAFEBRIDGE project. In Bridge Maintenance, Safety, Management, Life-Cycle Sustainability and Innovations. 1. London: CRC Press/Balkema, 2021. p. 221-226. ISBN: 9780367232788.
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  DOLEŽEL, J.; ŠOMODÍKOVÁ, M.; NOVÁK, D.; NOVÁK, L. Spolehlivostní metody hodnocení mostních konstrukcí. 26. mezinárodní sympozium Mosty/Bridges 2021 – Sborník příspěvků. Brno, Česká republika: Sekurkon s.r.o., 2021. p. 211-215. ISBN: 978-80-86604-86-2.
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  MIKULÁŠEK, M.; MAŠEK, P.; ŠTŮSEK, M.; NOVÁK, L.; MOŽNÝ, R.; HOŠEK, J. Optimizing the Switching Speed of the Current Probe Utilizing the FPGA for Input Signal Processing. In 2021 13th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT). Online: 2021. p. 174-181. ISBN: 978-1-6654-0219-4.
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  SLOWIK, O.; NOVÁK, D.; NOVÁK, L.; STRAUSS, A. Stochastic modelling and assessment of long-span precast prestressed concrete elements failing in shear. ENGINEERING STRUCTURES, 2021, vol. 228, no. 111500, p. 1-16. ISSN: 0141-0296.
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  NOVÁK, L.; VOŘECHOVSKÝ, M.; SADÍLEK, V. Adaptive Sequential Sampling for Polynomial Chaos Expansion. In Proceedings of the 4th International Conference on Uncertainty Quantification in Computational Sciences and Engineering. Athens, Greece: National Technical University of Athens, 2021. p. 296-301. ISBN: 978-618-85072-6-5.
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  NOVÁK, L.; VOŘECHOVSKÝ, M.; SADÍLEK, V.; SHIELDS, M. Variance-based adaptive sequential sampling for Polynomial Chaos Expansion. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, vol. 386, no. 114105, p. 1-25. ISSN: 0045-7825.
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  NOVÁK, L.; NOVÁK, D. Taylor Series Expansion for Statistical Analysis of Existing Concrete Bridge. In Proceedings of the 1st Conference of the European Association on Quality Control of Bridges and Structures. Lecture Notes in Civil Engineering. Springer Science and Business Media Deutschland GmbH, 2021. p. 228-235. ISBN: 9783030918767. ISSN: 2366-2557.
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  NOVÁK, L.; NOVÁK, D. Estimation of coefficient of variation for structural analysis: The correlation interval approach. Structural Safety, 2021, vol. 92, no. 1, p. 1-11. ISSN: 0167-4730.
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• 2020

  NOVÁK, D.; NOVÁK, L.; SLOWIK, O. Probabilistic modelling of prestressed concrete roof girders. In MATEC Web of Conferences. MATEC Web of Conferences. Slovakia: 2020. p. 1-10. ISSN: 2261-236X.
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  DOLEŽEL, J.; NOVÁK, L.; ŠOMODÍKOVÁ, M.; LIPOWCZAN, M.; VYHLÍDAL, M.; SLOWIK, O.; LEHKÝ, D.; NOVÁK, D.; PUKL, R. Projekt ATCZ190 Safebridge: Využití pravděpodobnostních metod při analýze mostních konstrukcí. Brno, Česká republika: 2020. p. 206-211. ISBN: 978-80-86604-82-4.
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  PAN, L.; NOVÁK, D.; NOVÁK, L. Surrogate modelling of concrete girders using artificial neural network ensemble. In Life-Cycle Civil Engineering: Innovation, Theory and Practice. Proceedings of the 7th International Symposium on Life-Cycle Civil Engineering (IALCCE 2020), October 27-30, 2020, Shanghai, China. Shanghai, China: 2020. p. 1-5. ISBN: 9780429343292.
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  NOVÁK, L.; NOVÁK, D. On Taylor Series Expansion for Statistical Moments of Functions of Correlated Random Variables dagger. Symmetry, 2020, vol. 12, no. 8, p. 1-14. ISSN: 2073-8994.
  Detail | WWW | Full text in the Digital Library

  NOVÁK, L. CITLIVOSTNÍ ANALÝZA NEZÁVISLÁ NA STATISTICKÝCH MOMENTECH S VYUŽITÍM ROZVOJE POLYNOMIÁLNÍHO CHAOSU. Proceedings of Juniorstav 2020. Brno, Česká republika: Vysoké učení technické v Brně, Fakulta stavební, 2020. p. 427-433. ISBN: 978-80-86433-73-8.
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  NOVÁK, L.; NOVÁK, D. Distribution-Based Global Sensitivity Analysis By Polynomial Chaos Expansion. In ENGINEERING MECHANICS 2018 PROCEEDINGS, VOL 26. Praha: Institute of Theretical and Applied Mechanics of the Czech Academy of Sciences, 2020. p. 380-383. ISBN: 978-80-214-5896-3.
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  NOVÁK, L.; NOVÁK, D. On Taylor series expansion for statistical moments of functions of correlated random variables. In AIP Conference Proceedings. AIP conference proceedings. New York, USA: American Institute of Physics, 2020. p. 1-4. ISBN: 978-0-7354-4025-8. ISSN: 0094-243X.
  Detail | WWW

• 2019

  NOVÁK, L.; NOVÁK, D. Stochastic Spectral Methods in Uncertainty Quantification. Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series, 2019, vol. 19, no. 2, p. 48-53. ISSN: 1804-4824.
  Detail | WWW

  NOVÁK, L. STATISTICAL AND SENSITIVITY ANALYSIS USING POLYNOMIAL CHAOS EXPANSION. In Proceedings of Juniorstav 2018. Brno, Česká republika: Vysoké učení technické v Brně, Fakulta stavební, 2019. p. 234-239. ISBN: 978-80-86433-71-4.
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  NOVÁK, L.; NOVÁK, D. Safety format for non-linear analysis with correlated material characteristics. In AIP Conference Proceedings. AIP conference proceedings. New York, USA: American Institute of Physics, 2019. p. 1-4. ISBN: 978-0-7354-1854-7. ISSN: 0094-243X.
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  NOVÁK, L.; NOVÁK, D.; PUKL, R. Probabilistic and semi-probabilistic design of large concrete beams failing in shear. In Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications. 1st Edition. London: Taylor and Francis Group CRC Press, 2019. p. 1339-1344. ISBN: 978-1-138-38696-9.
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  NOVÁK, L.; NOVÁK, D. On the possibility of utilizing Wiener-Hermite polynomial chaos expansion for global sensitivity analysis based on Cramér-von Mises Distance. In Proceedings of 2019 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering, QR2MSE 2019. 2019. p. 1-9. ISBN: 978-172-811-427-9.
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  NOVÁK, L.; NOVÁK, D. Surrogate modelling in the stochastic analysis of concrete girders failing in shear. In Proceedings of the fib Symposium 2019: Concrete - Innovations in Materials, Design and Structures. International Federation for Structural Concrete, 2019. p. 1741-1747. ISBN: 9782940643004.
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  PUKL, R.; ČERVENKA, V.; NOVÁK, L.; NOVÁK, D. Shear failure of very large concrete beam: Nonlinear, probabilistic and semi-probabilistic modelling. In Proceedings of the 8th International Conference on COMPUTATIONAL STOCHASTIC MECHANICS (CSM8). 2019. p. 1-12. ISBN: 978-981-11-2723-6.
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  SÝKORA, M.; ČERVENKA, J.; ČERVENKA, V.; MLČOCH, J.; NOVÁK, D.; NOVÁK, L. Pilot comparison of safety formats for reliability assessment of RC structures. In Proceedings of the fib Symposium 2019: Concrete - Innovations in Materials, Design and Structures. International Federation for Structural Concrete, 2019. p. 2076-2083. ISBN: 9782940643004.
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• 2018

  LEHKÝ, D.; NOVÁK, D.; NOVÁK, L.; ŠOMODÍKOVÁ, M. Prestressed concrete roof girders: Part II – Surrogate modeling and sensitivity analysis. In Life Cycle Analysis and Assessment in Civil Engineering: Towards an Integrated Vision: Proceedings of the Sixth International Symposium on Life-Cycle Civil Engineering (IALCCE 2018). 1. London: CRC press, Taylor and Francis group, 2018. p. 495-502. ISBN: 9781138626331.
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  NOVÁK, D.; NOVÁK, L.; SLOWIK, O.; STRAUSS, A. Prestressed concrete roof girders: Part III – Semi-probabilistic design. In Proceedings of the Sixth International Symposium on Life-Cycle Civil Engineering (IALCCE 2018). 1. London: CRC press, Taylor and Francis group, 2018. p. 510-517. ISBN: 9781138626331.
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  STRAUSS, A.; KRUG, B.; SLOWIK, O.; NOVÁK, D.; NOVÁK, L. Computational modeling and experimental testing of shear and flexure performance of prestressing concrete T-shaped beams-safety formats. In Proceedings of Computational modelling of concrete and concrete structures. London: CRC press, Taylor and Francis, 2018. p. 595-603. ISBN: 978-1-138-74117-1.
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  NOVÁK, L.; VOŘECHOVSKÝ, M. Generalization of coloring linear transformation. In Sborník příspěvků vědecké konference Spolehlivost konstrukcí & Modelování v mechanice 2018. Ostrava: 2018. p. 1-9. ISBN: 978-80-248-4175-5.
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  NOVÁK, L.; NOVÁK, D. Shear Strength Design by Stochastic Simulation and Semi-probabilistic Methods. In AIP Conference Proceedings. New York, USA: American Institute of Physics, 2018. p. 500-504. ISBN: 978-0-7354-1690-1.
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  NOVÁK, L.; VOŘECHOVSKÝ, M. GENERALIZATION OF COLORING LINEAR TRANSFORMATION. Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series, 2018, vol. 18, no. 2, p. 31-35. ISSN: 1804-4824.
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  NOVÁK, L. Metoda plochy odezvy ve formě polynomiálního chaosu. In Juniorstav 2018. Brno, Česká republika: Vysoké učení technické v Brně, Fakulta stavební, 2018. p. 608-612. ISBN: 9788086433691.
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  NOVÁK, L.; NOVÁK, D. Polynomial chaos expansion for surrogate modelling: Theory and software. Beton und Stahlbeton, 2018, vol. 2, no. 113, p. 27-32. ISSN: 0005-9900.
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  NOVÁK, L.; PAN, L.; SLOWIK, O.; NOVÁK, D. Advanced reliability and sensitivity analysis of prestressed concrete girders failing in shear. In Proc. of 12th fib International PhD Symposium in Civil Engineering. Prague: Czech Technical University in Prague, 2018. p. 617-624. ISBN: 978-80-01-06401-6.
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  NOVÁK, L.; NOVÁK, D.; SLOWIK, O. Application of polynomial chaos expansion to reliability analysis of prestressed concrete roof girders. In ENGINEERING MECHANICS 2018 PROCEEDINGS, VOL 24. First. Praha: Institute of Theretical and Applied Mechanics of the Czech Academy of Sciences, 2018. p. 609-612. ISBN: 978-80-86246-91-8.
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• 2017

  NOVÁK, D.; SLOWIK, O.; NOVÁK, L.; STRAUSS, A.; LEHKÝ, D. Statistical and sensitivity analyses of prestressed concrete girders failing in shear. In 12th International Conference on Structural Safety & Reliability (ICOSSAR 2017). 2017. p. 1793-1802. ISBN: 978-3-903024-28-1.
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• 2016

  SLOWIK, O.; NOVÁK, D.; NOVÁK, L. Shear resistance of prestressed girders: Probabilistic design. In 14th International Probabilistic Workshop. Ghent, Belgium: Springer, 2016. p. 365-375. ISBN: 978-3-319-47885-2.
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• 2015

  NOVÁK, L.; ŘOUTIL, L.; NOVÁK, D. IMPLEMETACE DATABÁZE LOMOVĚ- MECHANICKÝCH PARAMETRŮ VYBRANÝCH, BETONŮ DO SOFTWARU FREET. Sborník vědeckých prací Vysoké školy báňské – Technické univerzity Ostrava, 2015, vol. 2015, no. 2, p. 143-146. ISSN: 1213-1962.
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  NOVÁK, L.; ŘOUTIL, L.; NOVÁK, D. Implementace databáze lomově- mechanických parametrů vybraných betonů do softwaru Freet. In Modelování v mechanice 2015. Ostrava, Česká republika: 2015. p. 1-5. ISBN: 978-80-248-3756- 7.
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