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dc.contributor.authorBizzarri, Michal
dc.contributor.authorLávička, Miroslav
dc.date.accessioned2021-05-17T10:00:21Z-
dc.date.available2021-05-17T10:00:21Z-
dc.date.issued2021
dc.identifier.citationBIZZARRI, M. LÁVIČKA, M. Interpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curves. Journal of computational and applied mathematics, 2021, roč. 392, č. 15 August 2021. ISSN 0377-0427.cs
dc.identifier.issn0377-0427
dc.identifier.uri2-s2.0-85101636957
dc.identifier.urihttp://hdl.handle.net/11025/43217
dc.format17 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseriesJournal Of Computational And Applied Mathematicsen
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.cs
dc.rights© Elsevieren
dc.titleInterpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curvesen
dc.typepreprintcs
dc.typepreprinten
dc.rights.accessrestrictedAccessen
dc.type.versiondraften
dc.description.abstract-translatedAmorphous HfMSiBCN materials (M = Y, Ho, Ta, Mo or an enhanced Hf content instead of any other M) are investigated by ab initio calculations and magnetron sputtering. We focus on combining the high-temperature stability and oxidation resistance of these materials with optimised mechanical, optical and electrical properties. First, we predict the corresponding trends by calculating the effect of the M choice and fraction on formation energy (Eform) and mechanical properties of MN and HfxM1–xN crystals. We discuss the dependence of Eform(HfxM1–xN) on the crystal structure and the distribution of Hf and M in the metal sublattice. The mechanical properties calculated for MN correlate with those measured for HfMSiBCN. The driving force towards N incorporation, decreasing with the periodic-table group number of M according to the calculated Eform(MN), correlates with the measured increasing electrical conductivity and extinction coefficient of HfMSiBCN. Second, we model the amorphous HfMSiBCN materials themselves by ab initio molecular dynamics. The calculated band gap, localisation of electronic states and bonding preferences of M also correspond to the increasing metallicity with respect to the periodic-table group number of M and confirm the possibility of predicting the trends in characteristics of HfMSiBCN using those of MN. Third, we study the measured HfMSiBCN properties as functions of each other and identify sputter target compositions leading to hard films with high electrical conductivity at a relatively low extinction coefficient. The results are important for the design of hard, conductive and/or transparent high-temperature coatings.en
dc.subject.translatedHermite interpolationen
dc.subject.translatedMinkowski Pythagorean hodograph curvesen
dc.subject.translatedB-spline curvesen
dc.subject.translatedClifford algebraen
dc.subject.translatedMedial axis transformsen
dc.subject.translatedSkinningen
dc.identifier.doi10.1016/j.cam.2021.113469
dc.identifier.document-number634783600021
dc.identifier.obd43932319
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
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