5 papers
Asymptotically exact dimension reduction of functionally graded anisotropic rods
Khanh Chau Le
This study utilizes the variational-asymptotic method to establish a one-dimensional theory for functionally graded rods characterized by general anisotropy from the three-dimensio…
Asymptotically accurate and geometric locking-free finite element implementation of a refined shell theory
Khanh Chau Le, Hoang-Giang Bui
Accurate finite element analysis of refined shell theories is crucial but often hindered by membrane and shear locking effects. While various element-based locking-free techniques…
A lower bound for the energy decay rate in piezoelectricity
Khanh Chau Le
This paper establishes a lower bound for the energy decay rate in piezoelectric cylinders. The bound incorporates material properties and geometric factors, including the cross-sec…
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…
Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates
Khanh Chau Le, Hoang Giang Bui
A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered.…