Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates
Numerical Analysis
2024-04-17 v2 Numerical Analysis
Classical Physics
Abstract
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. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.
Keywords
Cite
@article{arxiv.2310.19443,
title = {Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates},
author = {Khanh Chau Le and Hoang Giang Bui},
journal= {arXiv preprint arXiv:2310.19443},
year = {2024}
}
Comments
32 pages, 11 figures