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Project detail
Duration: 01.03.2022 — 28.02.2023
Funding resources
Brno University of Technology - Vnitřní projekty VUT
- whole funder (2022-01-01 - 2023-12-31)
On the project
Efektivní výpočtové modelování nárazů deformovatelých těles s respektováním různých forem disipace energie pro dost obecnou třídu materiálů i konstrukcí představuje dosud neuzavřený problém. Obvyklé penalizační přístupy se obtížně vypořádávají i) se subjektivní volbou umělé tuhosti kontaktu a ii) s problematickým nastavením časového kroku výpočtu. Navržená tzv. energetická metoda, jež do výpočtu záměrně vnáší požadavek dodržení zákona zachování energie, nedostatky i), ii) nemá.
Mark
FAST-S-22-7867
Default language
Czech
People responsible
Gálová Adéla, Ing. - fellow researcherJedlička Michal, Ing. - fellow researcherLang Rostislav, Ing., Ph.D. - fellow researcherNěmec Ivan, doc. Ing., CSc. - fellow researcherZajac Zbyněk, Ing. - fellow researcherVala Jiří, prof. Ing., CSc. - principal person responsible
Units
Institute of Mathematics and Descriptive Geometry- internal (2022-01-01 - 2022-12-31)Institute of Structural Mechanics- internal (2022-01-01 - 2022-12-31)Faculty of Civil Engineering- beneficiary (2022-01-01 - 2022-12-31)
Results
ŠAFAŘÍK, J.; BULANTOVÁ, J.; ZRŮSTOVÁ, L. GeoGebra kniha „Sbírka řešených příkladů z konstruktivní geometrie“. Sborník příspěvků 10. konference Užití počítačů ve výuce matematiky. České Budějovice: Jihočeská univerzita v Českých Budějovicích, 2021. s. 164-172. ISBN: 978-80-7394-906-8.Detail
DIBLÍK, J.; PITUK, M.; SZEDERKÉNYI, G. Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients. AUTOMATICA, 2024, vol. 161, no. 111473, p. 1-5. ISSN: 0005-1098.Detail
HOLEŠOVSKÝ, J.; FUSEK, M. Improved interexceedance-times-based estimator of the extremal index using truncated distribution. EXTREMES, 2022, vol. 25, no. 4, p. 695-720. ISSN: 1386-1999.Detail
ŠAFAŘÍK, J. Počátky kartografie, Od nejstarších památek po středověk. Proceedings of the Czech-Slovak Conference on Geometry and Graphics 2022. First. Bratislava: Slovak Technical University, Faculty of Chemical and Food Technology, 2022. s. 155-162. ISBN: 978-80-8208-092-9.Detail
TRCALA, M.; NĚMEC, I.; GÁLOVÁ, A. On the nonlinear transient analysis of structures. In Earthquakes - Recent Advances, New Perspectives and Applications. Karnal, Haryana (India): Intech Open, 2022. p. 163-182. ISBN: 978-1-83768-183-9.Detail
VALA, J. The Finite Element Method – 55 years of mathematical theory. Mathematics, Information Technologies and Applied Sciences 2022, post-conference proceedings of extended versions of selected papers. Brno: University of Defence, 2022. p. 89-105. ISBN: 978-80-7582-185.Detail
VALA, J. Numerical approaches to the modelling of quasi-brittle crack propagation. ARCHIVUM MATHEMATICUM, 2023, vol. 59, no. 3, p. 295-303. ISSN: 0044-8753.Detail
VALA, J.; REK, V. On a computational approach to multiple contacts/impacts of elastic bodies. In Programs and Algorithms of Numerical Mathenatics 21 (Jablonec nad Nisou, 2022). Praha: 2023. p. 269-280. ISBN: 978-80-85823-73-8.Detail
NĚMEC, I.; VALA, J.; ŠTEKBAUER, H.; JEDLIČKA, M.; BURKART, D. New methods in collision of bodies analysis. In Programs and Algorithms of Numerical Mathematics 22. Praha: Matematický ústav AV ČR, 2023. p. 133-148. ISBN: 978-80-85823-73-8.Detail
ŠTEKBAUER, H.; NĚMEC, I.; LANG, R.; BURKART, D.; VALA, J. On a new computational algorithm for impacts of elastic bodies. APPLICATIONS OF MATHEMATICS, 2022, vol. 67, no. 6, p. 775-804. ISSN: 0862-7940.Detail
VALA, J. On the computational heat transfer evaluation in buildings with controlled temperature. In Thermophysics 2022. AIP Conference Proceedings. Melville (USA): American Institute of Physics, 2023. p. 020024-1 (020024-6 p.)ISBN: 978-0-7354-4655-7. ISSN: 1551-7616.Detail
VALA, J.; KOZÁK, V. On a computational stress-based non-local damage model for quasi-brittle composites. In MSMF 10 Proceedings. Procedia Structural Integrity. Amsterdam: Elsevier, 2023. p. 59-64. ISBN: 978-1-7138-6907-8. ISSN: 2452-3216.Detail
KOZÁK, V.; VALA, J. Crack growth modelling in cementitious composites using XFEM. In MSMF 10 Proceedings. Procedia Structural Integrity. Amsterdam: Elsevier, 2023. p. 47-52. ISBN: 978-1-7138-6907-8. ISSN: 2452-3216.Detail
MIKEŠ, J.; RÝPAROVÁ, L.; STEPANOV, S.; TSYGANOK, I. On the geometry in the large of Einstein-like manifolds. Mathematics, 2022, vol. 2208, no. 1, p. 2208-01 (2208-10 p.)ISSN: 2227-7390.Detail
ZAJAC, Z.; JEDLIČKA, M.; LANG, R.; NĚMEC, I. Algorithm for ponding effect detection considering amount of precipitation. In ICNAAM 2022 Proceedings. Melville (USA): American Institute of Physics, 2023. p. 8888-1 (8888-4 p.)ISBN: 978-0-7354-4182-8.Detail
JEDLIČKA, M.; ZAJAC, Z. Interaction of surface constructions (2D) with the subsoil. In ICNAAM 2022 Proceedings. Melville (USA): American Institute of Physics, 2023. p. 9999-1 (9999-4 p.)ISBN: 978-0-7354-4182-8.Detail
DIBLÍK, J.; KOROBKO, E. Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type. Advances in Nonlinear Analysis, 2023, vol. 12, no. 1, p. 1-23. ISSN: 2191-950X.Detail
VALA, J.; JAROŠOVÁ, P. On a derivative-free optimization approach to some problems of civil engineering. WSEAS Transactions on Mathematics, 2023, vol. 22, no. 1, p. 641-651. ISSN: 1109-2769.Detail
KOZÁK, V.; VALA, J. Modelling of crack formation and growth using FEM for selected structural materials at static loading. WSEAS Transactions on Applied and Theoretical Mechanics, 2023, vol. 18, no. 1, p. 243-254. ISSN: 2224-3429.Detail
KOZÁK, V. Some peculiarities in crack modelling under static and dynamic loading. In ICNAAM Proceedings. AIP conference proceedings. Melville (USA): American Institute of Physics, 2023. p. 370005-1 (370005-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.Detail
VÍTKOVÁ, L.; GUSEVA, N.; SHERKUZIYEV, M.; SHERKUZIYEVA, N. On the rigidity and analytical rigidity of two-connected regular surfaces of revolution for a given direction of displacement of edge points. FILOMAT, 2023, vol. 37, no. 25, p. 8561-8567. ISSN: 0354-5180.Detail
PEŠKA, P.; MIKEŠ, J.; VÍTKOVÁ, L.; CHEPURNA, O. On general solutions of equidistant vector fields on two-dimensional (pseudo-) Riemannian spaces. FILOMAT, 2023, vol. 37, no. 25, p. 8569-8574. ISSN: 0354-5180.Detail
BEREZOVSKI, V.; VÍTKOVÁ, L.; CHEREVKO, Y. Canonical F-Planar Mappings of Spaces with Affine Connection onto m-Symmetric Spaces. Mathematics, 2023, vol. 11, no. 5, p. 1246-1 (1246-9 p.)ISSN: 2227-7390.Detail
VÍTKOVÁ, L.; HINTERLEITNER, I.; STEPANOV, S.; TSYGANOK, I. Infinitesimal Transformations of Riemannian Manifolds - The Geometric Dynamics Point of View. Mathematics, 2023, vol. 11, no. 5, p. 1114-1 (1114-13 p.)ISSN: 2227-7390.Detail
FOREJT, M.; POKOROVÁ, K.; UHER, M.; NOVÁK, J.; ČERMÁKOVÁ, E. Changes in segmental impedances and selected body composition parameters assessed by multi-frequency bioimpedance analysis after fluid consumption in healthy young population. International Journal of Medical Sciences, 2023, vol. 20, no. 13, p. 1783-1790. ISSN: 1449-1907.Detail
ŠTEKBAUER, H.; NĚMEC, I.; BURKART, D.; JEDLIČKA, M. Energy method in multibody collision analysis. In 978-0-7354-4182-8. Melville (USA): American Institute of Physics, 2023. p. 370006-1 (370006-4 p.)ISBN: 978-0-7354-4182-8.Detail
DIBLÍK, J.; RŮŽIČKOVÁ, M. Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point. Advances in Nonlinear Analysis, 2024, vol. 13, no. 1, p. 1-44. ISSN: 2191-9496.Detail
HINTERLEITNER, I.; VÍTKOVÁ, L.; MIKEŠ, J. Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics. Mathematics, 2024, vol. 8, no. 12, p. 1-13. ISSN: 2227-7390.Detail
KOZÁK, V.; VALA, J. Use of cohesive approaches for modelling critical states in fibre-reinforced structural materials. Materials, 2024, vol. 17, no. 13, p. 3177-1 (3177-21 p.)ISSN: 1996-1944.Detail
DIBLÍK, J.; HARTMANOVÁ, M. Existence of a Bounded Solution of a Non-Homogeneous Linear Planar Discrete System. In AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022. USA: American Institute of Physics, 2024. p. 400003-1 (400003-4 p.)ISBN: 9780735449541.Detail
DIBLÍK, J.; ŠAFAŘÍK, J.; BOHÁČKOVÁ, H. General Solution of a Three-dimensional Linear Difference System with a Delay. In AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022. AIP conference proceedings. MELVILLE: AMER INST PHYSICS, 2024. p. 400004-1 (400004-4 p.)ISBN: 9780735449541. ISSN: 0094-243X.Detail
ČAMPULOVÁ, M.; ČAMPULA, R.; HOLEŠOVSKÝ, J. An R package for identification of outliers in environmental time series data. ENVIRONMENTAL MODELLING & SOFTWARE, 2022, vol. 155, no. 1, p. 1-18. ISSN: 1364-8152.Detail