Asymptotically exact theory of fiber-reinforced composite beams
Classical Physics
2020-03-30 v2
Abstract
An asymptotic analysis of the energy functional of a fiber-reinforced composite beam with a periodic microstructure in its cross section is performed. From this analysis the asymptotically exact energy as well as the 1-D beam theory of first order is derived. The effective stiffnesses of the beam are calculated in the most general case from the numerical solution of the cell and homogenized cross-sectional problems.
Keywords
Cite
@article{arxiv.2001.05945,
title = {Asymptotically exact theory of fiber-reinforced composite beams},
author = {Khanh Chau Le and Tuan Minh Tran},
journal= {arXiv preprint arXiv:2001.05945},
year = {2020}
}
Comments
28 pages, 5 figures