Asymptotically exact theory of functionally graded elastic beams

Chúng tôi vui mừng thông báo rằng TS. Lê Thị Cẩm Tú và các đồng nghiệp gần đây đã xuất bản công trình của họ có tựa đề "Asymptotically exact theory of functionally graded elastic beams" trên tạp chí International Journal of Engineering Science

Tóm tắt:

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-dimensional equations, allowing for the precise determination of effective stiffnesses in extension, bending, and torsion via numerical solutions of the dual variational problems on the cross-section. Our theory distinguishes itself by offering a rigorous error estimation based on the Prager–Synge identity, which highlights the limits of accuracy and applicability of the derived one-dimensional model for beams with continuously varying elastic moduli across the cross section.