Affiliation:
1. School of Mathematical Sciences Guizhou Normal University Guiyang China
2. School of Biology & Engineering Guizhou Medical University Guiyang China
Abstract
The linear elasticity problem has important applications in structural analysis and engineering design. It is shown that the classical Crouzeix–Raviart finite element method is unstable to solve the linear elasticity eigenvalue problem with the pure traction boundary condition. In this paper, first we propose a new scheme with the stabilization terms. Then we prove the a priori error estimates for approximate eigenpairs. Finally, we carry out numerical experiments using the stabilized scheme. Theoretical analysis and numerical results show that this scheme is locking free and efficient.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics