Thermal waves in composite membrane with circular inclusions in hexagonal lattice structures

dc.contributor.authorAndrianov, I.V.
dc.contributor.authorAwrejcewicz, J.
dc.contributor.authorStarushenko, G.A.
dc.contributor.authorKvitka, S.A.
dc.date.accessioned2021-12-03T08:10:59Z
dc.date.available2021-12-03T08:10:59Z
dc.date.issued2021
dc.description.abstractNon-stationary heat conduction in the fibre composite materials is studied. 2D сomposite media consists of matrix with circular inclusions in hexagonal lattice structures. The perfect contact between different materials is assumed on the boundary of the fibres. The local temperature field in the unit cell is modeled by the heat equation. Time variable excludes from the original boundary value problem using of Laplace transform. Asymptotic homogenization method allows to reduce original problem for multiply-connected domain to the sequence of boundary value problems in simply-connected domains. Composite material is supposed densely-packed with a high-contrast. In this case, the local boundary value problem includes a small parameter equal to the ratio of the distance between the inclusions to the characteristic cell size. Using of additional small parameter and thin layer asymptotics allows to solve local problem analytically. Closed form expression for effective heat conductivity is obtained.en_EN
dc.identifier.citationAndrianov I.V., Awrejcewicz J., Starushenko G.A., Kvitka S.A., Thermal waves in composite membrane with circular inclusions in hexagonal lattice structures. W: DSTA-2021 Conference Books – Abstracts (16th International Conference : Dynamical Systems Theory and Applications DSTA 2021 ABSTRACTS), Awrejcewicz J. (red.), Kaźmierczak M. (red.), Olejnik P. (red.), Mrozowski J. (red.), Wydawnictwo Politechniki Łódzkiej ; Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki, Łódź 2021, s. 491-492, ISBN 978-83-66741-20-1.
dc.identifier.isbn978-83-66741-20-1
dc.identifier.urihttp://hdl.handle.net/11652/4130
dc.language.isoenen_EN
dc.page.numbers. 491-492
dc.publisherWydawnictwo Politechniki Łódzkiejpl_PL
dc.publisherPolitechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.pl_PL
dc.publisherLodz University of Technology Pressen_EN
dc.publisherLodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.en_EN
dc.relation.ispartofAwrejcewicz J. (Ed.), Kaźmierczak M. (Ed.), Olejnik P. (Ed.), Mrozowski J. (Ed.)., DSTA-2021 Conference Books – Abstracts (16th International Conference : Dynamical Systems Theory and Applications DSTA 2021 ABSTRACTS), Wydawnictwo Politechniki Łódzkiej ; Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki, Łódź 2021, ISBN 978-83-66741-20-1, DOI 10.34658/9788366741201.
dc.rightsAll rights reserveden_EN
dc.rightsFair use conditionen_EN
dc.rightsWszystkie prawa zastrzeżonepl_PL
dc.rightsDla wszystkich w zakresie dozwolonego użytkupl_PL
dc.rights.holderLodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.en_EN
dc.rights.holderPolitechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.pl_PL
dc.rights.licenseLUT Licenseen_EN
dc.rights.licenseLicencja PŁpl_PL
dc.subjectunsteady heat conductionen_EN
dc.subjectfibre compositeen_EN
dc.subjecteffective conductivityen_EN
dc.subjectLaplace transformen_EN
dc.subjecthomogenization approachen_EN
dc.subjectniestabilne przewodzenie ciepłapl_PL
dc.subjectkompozyt włóknistypl_PL
dc.subjectefektywne przewodnictwopl_PL
dc.subjecttransformata Laplace'apl_PL
dc.subjectpodejście do homogenizacjipl_PL
dc.titleThermal waves in composite membrane with circular inclusions in hexagonal lattice structuresen_EN
dc.typeAbstraktpl_PL
dc.typeAbstracten_EN

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