Asymptotically exact theory of fiber-reinforced composite beams. (15th July 2020)

• Record Type: Journal Article
• Authors: Le, K.C.; Tran, T.M.
• Is Part Of: Composite structures. Volume 244(2020)
• Publication Date: 2020-07-15
• Subjects: Fiber-reinforced -- Composite -- Beam -- Periodic microstructure -- Variational-asymptotic method; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2020.112279
• Languages: English
• ISSNs: 0263-8223

Abstract

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.