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Pregled bibliografske jedinice broj: 1279240

Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast


Cherednichenko, Kirill; Velčić, Igor; Žubrinić, Josip
Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast // Calculus of Variations and Partial Differential Equations, 62 (2023), 5; 147, 72 doi:10.1007/s00526-023-02478-7 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1279240 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast

Autori
Cherednichenko, Kirill ; Velčić, Igor ; Žubrinić, Josip

Izvornik
Calculus of Variations and Partial Differential Equations (0944-2669) 62 (2023), 5; 147, 72

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Homogenisation, Dimension reduction, Resolvent asymptotics, elastic rods, Composite media

Sažetak
We provide resolvent asymptotics as well as various operator-norm estimates for the system of linear partial differential equations describing thin infinite elastic rods with material coefficients that rapidly oscillate along the rod. The resolvent asymptotics is derived simultaneously with respect to the rod thickness and the period of material oscillations, which are taken to be of the same order. The analysis is carried out separately on two invariant subspaces pertaining to the out-of-line and in-line displacements, under the assumption on material symmetries as well as in the general case when these two types of displacements are intertwined.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-8904 - Homogenizacija, redukcija dimenzije i strukturalna optimizacija u mehanici kontinuuma (Homdirestroptcm) (Velčić, Igor, HRZZ ) ( CroRIS)

Profili:

Avatar Url Josip Žubrinić (autor)

Avatar Url Igor Velčić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Cherednichenko, Kirill; Velčić, Igor; Žubrinić, Josip
Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast // Calculus of Variations and Partial Differential Equations, 62 (2023), 5; 147, 72 doi:10.1007/s00526-023-02478-7 (međunarodna recenzija, članak, znanstveni)
Cherednichenko, K., Velčić, I. & Žubrinić, J. (2023) Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast. Calculus of Variations and Partial Differential Equations, 62 (5), 147, 72 doi:10.1007/s00526-023-02478-7.
@article{article, author = {Cherednichenko, Kirill and Vel\v{c}i\'{c}, Igor and \v{Z}ubrini\'{c}, Josip}, year = {2023}, pages = {72}, DOI = {10.1007/s00526-023-02478-7}, chapter = {147}, keywords = {Homogenisation, Dimension reduction, Resolvent asymptotics, elastic rods, Composite media}, journal = {Calculus of Variations and Partial Differential Equations}, doi = {10.1007/s00526-023-02478-7}, volume = {62}, number = {5}, issn = {0944-2669}, title = {Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast}, keyword = {Homogenisation, Dimension reduction, Resolvent asymptotics, elastic rods, Composite media}, chapternumber = {147} }
@article{article, author = {Cherednichenko, Kirill and Vel\v{c}i\'{c}, Igor and \v{Z}ubrini\'{c}, Josip}, year = {2023}, pages = {72}, DOI = {10.1007/s00526-023-02478-7}, chapter = {147}, keywords = {Homogenisation, Dimension reduction, Resolvent asymptotics, elastic rods, Composite media}, journal = {Calculus of Variations and Partial Differential Equations}, doi = {10.1007/s00526-023-02478-7}, volume = {62}, number = {5}, issn = {0944-2669}, title = {Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast}, keyword = {Homogenisation, Dimension reduction, Resolvent asymptotics, elastic rods, Composite media}, chapternumber = {147} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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