3 papers
math.NA2025
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…
physics.class-ph2025
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…
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…