A cell-based smoothed finite element method for multi-body contact analysis within the bi-potential formulation. (March 2023)

• Record Type: Journal Article
• Authors: Li, Yan; Chen, Qianwei; Feng, Zhiqiang
• Is Part Of: Engineering analysis with boundary elements. Volume 148(2023)
• Page Start: 256
• Page End: 266
• Publication Date: 2023-03
• Subjects: Multi-body contact -- Cell-based smoothed finite element method -- Bi-potential method -- Hyperelastic materials; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2022.12.023
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper presents a cell-based smoothed finite element method (CS-FEM) for solving contact problems within the bi-potential formulation. The frictional contact and large deformation are modeled based on the CS-FEM. This method performs based on the generalized smoothed Galerkin weak-form which requires only value of shape functions. Because no isoparametric mapping is needed, the CS-FEM has an advantage when dealing with problems with large deformation which may cause mesh distortion. The contact forces and the relative velocity establish an implicit relationship within the bi-potential formulation in which no user-defined parameter is introduced. Numerical examples show the contact between elastic and hyperelastic bodies calculated by CS-FEM models with different smoothing domains. Compared with FEM, the CS-FEM produces robust and more accurate solutions.