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.

FAST-S-22-7867

čeština

Vala Jiří, prof. Ing., CSc. - hlavní řešitel
Gálová Adéla, Ing. - spoluřešitel
Jedlička Michal, Ing. - spoluřešitel
Lang Rostislav, Ing., Ph.D. - spoluřešitel
Němec Ivan, doc. Ing., CSc. - spoluřešitel
Zajac Zbyněk, Ing. - spoluřešitel

Ústav matematiky a deskriptivní geometrie
- interní (1.1.2022 - 31.12.2022)
Ústav stavební mechaniky
- interní (1.1.2022 - 31.12.2022)
Fakulta stavební
- příjemce (1.1.2022 - 31.12.2022)

KOZÁK, V. Crack propagation modelling using XFEM, building materials applications. In Proceedings of the Conference Algoritmy 2024. Bratislava: JSMF (Jednota slovenských matematikov a fyzikov), 2024. p. 235-244. ISBN: 978-80-89829-33-0.
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VALA, J. Computational smeared damage in the macroscopic analysis of quasi-brittle materials and structures. In Proceedings of the Conference Algoritmy 2024. Bratislava: JSMF (Jednota slovenských matematikov a fyzikov), 2024. p. 46-55. ISBN: 978-80-89829-33-0.
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VALA, J. On an Explicit Computational Scheme for the Analysis of Dynamical Behaviour of Quasi-Brittle Composite Structures. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2022 (ICNAAM-2022). AIP Conference Proceedings. AIP Conference Proceedings. MELVILLE: AMER INST PHYSICS, 2024. p. 400006-1 (400006-4 p.)ISBN: 9780735449541. ISSN: 1551-7616.
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TRCALA, M.; SUCHOMELOVÁ, P.; BOŠANSKÝ, M.; NĚMEC, I. A constitutive model considering creep damage of wood. MECHANICS OF TIME-DEPENDENT MATERIALS, 2024, vol. 28, no. 1, p. 163-183. ISSN: 1573-2738.
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TRCALA, M.; SUCHOMELOVÁ, P.; BOŠANSKÝ, M.; HOKEŠ, F.; NĚMEC, I. The generalized Kelvin chain-based model for an orthotropic viscoelastic material. MECHANICS OF TIME-DEPENDENT MATERIALS, 2024, vol. 28, no. 3, p. 1639-1659. ISSN: 1573-2738.
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DIBLÍK, J.; PITUK, M.; SZEDERKÉNYI, G. Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients. AUTOMATICA, 2024, vol. 161, no. 3, p. 1-5. ISSN: 0005-1098.
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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.
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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.
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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.
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VÍTKOVÁ, L.; HINTERLEITNER, I.; MIKEŠ, J. Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics. Mathematics, 2024, vol. 12, no. 8, p. 1-13. ISSN: 2227-7390.
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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.
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KOZÁK, V.; VALA, J. Prediction of the high temperature crack propagation in the AISI 304L steel using the cohesive approach. In Thermophysics. AIP Conference Proceedings. Melville (USA): American Institute of Physics 978-0-7354-4873-5, 2024. p. 020011-1 (020011-6 p.)ISBN: 978-0-7354-4873-5. ISSN: 1551-7616.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Odpovědnost: Vala Jiří, prof. Ing., CSc.