An asymptotically exact first-order shear deformation theory for functionally graded plates
Soft Condensed Matter
2023-05-09 v2 Classical Physics
Abstract
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.
Cite
@article{arxiv.2304.08274,
title = {An asymptotically exact first-order shear deformation theory for functionally graded plates},
author = {Khanh Chau Le},
journal= {arXiv preprint arXiv:2304.08274},
year = {2023}
}
Comments
27 pages, 4 figures