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physics.class-ph2025
Asymptotically exact theory of functionally graded elastic beams
Khanh Chau Le, Tuan Minh Tran
We construct a one-dimensional first-order theory for functionally graded elastic beams using the variational-asymptotic method. This approach ensures an asymptotically exact one-d…
physics.class-ph2020
Asymptotically exact theory of fiber-reinforced composite beams
Khanh Chau Le, Tuan Minh Tran
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 asympt…