Pregled bibliografske jedinice broj: 1279241
Spectral and Evolution Analysis of Composite Elastic Plates with High Contrast
Spectral and Evolution Analysis of Composite Elastic Plates with High Contrast // Journal of Elasticity, 152 (2022), 1-2; 79-177 doi:10.1007/s10659-022-09958-5 (međunarodna recenzija, članak, znanstveni)
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Naslov
Spectral and Evolution Analysis of Composite Elastic
Plates with High Contrast
Autori
Bužančić, Marin ; Cherednichenko, Kirill ; Velčić, Igor ; Žubrinić, Josip
Izvornik
Journal of Elasticity (0374-3535) 152
(2022), 1-2;
79-177
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Dimension reduction ; Homogenisation ; High-contrast composites ; Effective media ; Resolvent convergence ; Spectrum ; Time evolution
Sažetak
We analyse the behaviour of thin composite plates whose material properties vary periodically in- plane and possess a high degree of contrast between the individual components. Starting from the equations of three-dimensional linear elasticity that describe soft inclusions embedded in a relatively stiff thin-plate matrix, we derive the corresponding asymptotically equivalent two- dimensional plate equations. Our approach is based on recent results concerning decomposition of deformations with bounded scaled symmetrised gradients. Using an operator-theoretic approach, we calculate the limit resolvent and analyse the associated limit spectrum and effective evolution equations. We obtain our results under various asymptotic relations between the size of the soft inclusions (equivalently, the period) and the plate thickness as well as under various scaling combinations between the contrast, spectrum, and time. In particular, we demonstrate significant qualitative differences between the asymptotic models obtained in different regimes.
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)
Citiraj ovu publikaciju:
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