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arXiv · 2001.05945

Asymptotically exact theory of fiber-reinforced composite beams

Khanh Chau Le·Tuan Minh Tran
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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.

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Khanh Chau Le, Tuan Minh Tran. 2020-01-15. Asymptotically exact theory of fiber-reinforced composite beams. https://arxiv.org/abs/2001.05945

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