4.7 Article

Asymptotically exact theory of fiber-reinforced composite beams

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COMPOSITE STRUCTURES
卷 244, 期 -, 页码 -

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ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2020.112279

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Fiber-reinforced; Composite; Beam; Periodic microstructure; Variational-asymptotic method

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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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