Podstatou projektu je návrh výpočtového modelu porušení cementových kompozitů při dynamickém zatěžování. V podrobném šestistránkovém zdůvodnění projektu je vymezeno 6 dílčích cílů pro 2 aplikační oblasti.

FAST-S-20-6294

Czech

Vala Jiří, prof. Ing., CSc. - principal person responsible
Gálová Adéla, Ing. - fellow researcher
Holešovský Jan, Ing., Ph.D. - fellow researcher
Jedlička Michal, Ing. - fellow researcher
Němec Ivan, doc. Ing., CSc. - fellow researcher
Štekbauer Hynek, Ing., Ph.D. - fellow researcher

Institute of Mathematics and Descriptive Geometry
- responsible department (27.4.2020 - not assigned)
Institute of Mathematics and Descriptive Geometry
- internal (1.1.2020 - 31.12.2020)
Institute of Structural Mechanics
- internal (1.1.2020 - 31.12.2020)
Faculty of Civil Engineering
- beneficiary (1.1.2020 - 31.12.2020)

MORÁVKOVÁ, B.; DIBLÍK, J. Solutions of linear discrete systems with a single delay and impulses. In AIP Conference Proceedings, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021. AIP conference proceedings. Melville (USA): American Institute of Physics, 2023. p. 370003-1 (370003-4 p.)ISSN: 0094-243X.
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DIBLÍK, J.; ŠAFAŘÍK, J.; HALFAROVÁ, H. Conditional stability of planar weakly delayed linear discrete systems with constant coefficients and a single delay. In AIP Conference Proceedings, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021. AIP conference proceedings. Melville (USA): American Institute of Physics, 2023. p. 370002-1 (370002-4 p.)ISSN: 0094-243X.
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DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability. APPLIED MATHEMATICS AND COMPUTATION, 2023, vol. 459, no. 12, p. 1-14. ISSN: 0096-3003.
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DIBLÍK, J.; RŮŽIČKOVÁ, M.; SCHMEIDEL, E. Równania różniczkowe zwyczajne II. Białystok: Wydawnictwo Uniwersytetu w Białymstoku, 2023. 162 s. ISBN: 978-83-7431-755-9.
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CHRASTINOVÁ, V.; TRYHUK, V. On the Lagrange variational problem. Annales Polon.Math., 2023, vol. 130, no. 2, p. 149-180. ISSN: 0066-2216.
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ŠAFAŘÍK, J.; BULANTOVÁ, J.; MENCÁKOVÁ, K.; MORÁVKOVÁ, B.; RÝPAROVÁ, L.; ZRŮSTOVÁ, L. Sbírka řešených příkladů z konstruktivní geometrie. Brno: Fakulta stavební VUT v Brně, 2022.
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MIKEŠ, J.; GUSEVA, N.; PEŠKA, P.; RÝPAROVÁ, L. Almost geodesic mappings and projections of the sphere. MATHEMATICAL NOTES, 2022, vol. 111, no. 3-4, p. 498-502. ISSN: 1573-8876.
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BEREZOVSKI, V.; CHEREVKO, Y.; HINTERLEITNER, I.; MIKEŠ, J. Canonical almost geodesic mappings of the first type onto generalized Ricci symmetric spaces. FILOMAT, 2022, vol. 36, no. 4, p. 1089-1097. ISSN: 0354-5180.
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ŠAFAŘÍK, J.; DIBLÍK, J.; HALFAROVÁ, H. Solution of weakly delayed linear two-dimensional discrete systems with constant coefficients and multiple delays. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP conference proceedings. Melville (USA): American Institute of Physics, 2022. p. 270010-1 (270010-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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HALFAROVÁ, H.; DIBLÍK, J.; ŠAFAŘÍK, J. General solution to a weakly delayed planar linear discrete system, the case of real different eigenvalues of the matrix of nondelayed terms. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP conference proceedings. Melville (USA): American Institute of Physics, 2022. p. 270009-1 (270009-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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DIBLÍK, J.; GALEWSKI, M. Existence of solutions in cones to delayed higher-order differential equations. APPLIED MATHEMATICS LETTERS, 2022, vol. 130, no. 108014, p. 1-7. ISSN: 0893-9659.
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DIBLÍK, J.; RŮŽIČKOVÁ, M.; SCHMEIDEL, E. Równania różniczkowe zwyczajne I. Wydawnictwo Uniwersytetu w Białymstoku: 2021. 288 s. ISBN: 978-83-7431-725-2.
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MIKEŠ, J.; FORMELLA, S.; HINTERLEITNER, I.; GUSEVA, N. Some questions of geodesic mappings of Einstein spaces. Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. Rusko: Itogi nauki i techniki, 2021. s. 50-61. ISSN: 0233-6723.
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DIBLÍK, J.; VÁŽANOVÁ, G. Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations. Advances in Nonlinear Analysis, 2022, vol. 11, no. 1, p. 757-784. ISSN: 2191-950X.
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KOTRECHKO, S.; KOZÁK, V.; ZATSARNA, O.; ZIMINA, G.; STETSENKO, N.; DLOUHÝ, I. Incorporation of temperature and plastic strain effects into local approach to fracture. Materials, 2021, vol. 14, no. 20, p. 1-11. ISSN: 1996-1944.
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BAŠTINEC, J.; DIBLÍK, J.; PINELAS, S.; VALA, J. Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations. APPLIED MATHEMATICS AND COMPUTATION, 2022, vol. 425, no. 1, p. 126533-1 (126533-18 p.)ISSN: 0096-3003.
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VALA, J.; KOZÁK, V. Non-local damage modelling of quasi-brittle composites. APPLICATIONS OF MATHEMATICS, 2021, vol. 66, no. 6, p. 815-836. ISSN: 0862-7940.
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KŘÍŽEK, J.; MIKEŠ, J.; PEŠKA, P.; RÝPAROVÁ, L. EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE. In Proceedings of the International Conference on Geometry Integrability and Quantization. Geometry, Integrability and Quantization. SOFIA: INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES, 2021. p. 136-141. ISSN: 1314-3247.
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BEREZOVSKI, V.; CHEREVKO, Y.; MIKEŠ, J.; RÝPAROVÁ, L. Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces. Mathematics, 2021, vol. 9, no. 4, p. 1-12. ISSN: 2227-7390.
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MIKEŠ, J.; GUSEVA, N.; PEŠKA, P.; RÝPAROVÁ, L. Rotary Mappings and Projections of a Sphere. MATHEMATICAL NOTES, 2021, vol. 110, no. 1-2, p. 152-155. ISSN: 0001-4346.
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Responsibility: Vala Jiří, prof. Ing., CSc.