An asymptotically exact first-order shear deformation theory for functionally graded plates

Autor:	Le, Khanh Chau
Rok vydání:	2023
Předmět:	Condensed Matter - Soft Condensed Matter Physics - Classical Physics
Druh dokumentu:	Working Paper
Popis:	An asymptotically exact first-order shear deformation theory for functionally graded elastic plates is derived using the variational-asymptotic method. As an application, an analytical solution to the problem of wave propagation in a sandwich plate is found in accordance with this refined theory. Comparison between the dispersion curves obtained by 2-D plate theory and 3-D elasticity theory reveals that the former is accurate up to the order of h^2/l^2, where h is the plate thickness and l the wavelength. Comment: 27 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.08274 Zobrazit plný text záznamu View this record from Arxiv