Title: Elastoplastic dynamic large-deformation analysis using automatic regulation node-based smoothed finite element method

Authors: Tangying Liu; Wenhao Hu; Hui Feng

Addresses: School of Electromechanical and Automotive Engineering, Yantai University, Yantai, 264005, China ' School of Electromechanical and Automotive Engineering, Yantai University, Yantai, 264005, China ' School of Electromechanical and Automotive Engineering, Yantai University, Yantai, 264005, China

Abstract: In this paper, a smoothed finite element method (S-FEM) for elastic-plastic dynamic large deformation analysis based on auto-regulating nodes is proposed to calculate the metal forming problems of linear triangular and tetrahedral elements. The proposed method can overcome the common problems of grid deformation and low computational efficiency in existing methods. It combines the advantages of the node-based smoothed finite element method (NS-FEM) and the stable node-based smoothed finite element method (SNS-FEM) The method only requires the selection of the numerical integration methods, and continuously updates the iterations during the time step by setting suitable indexes for realising the computational analysis process. The method eliminates the singular modes caused by NS-FEM in solving dynamic large deformation problems, and offers better computational stability and efficiency, which are demonstrated by several numerical examples.

Keywords: S-FEM; smoothed finite element method; dynamic large-deformation; auto-regulating nodes; numerical integration methods; NS-FEM; node-based smoothed finite element method; SNS-FEM; stable node-based smoothed finite element method.

DOI: 10.1504/IJVSMT.2024.144098

International Journal of Vehicle Systems Modelling and Testing, 2024 Vol.18 No.4, pp.331 - 354

Received: 18 Jun 2024
Accepted: 08 Nov 2024
Published online: 27 Jan 2025 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article