Numerical solution of the quasistatic contact problem with the Tresca friction in elastic-viscoplastic materials by the element-free Galerkin method. (1st November 2021)

• Record Type: Journal Article
• Authors: Shen, Quan; Ding, Rui; Huo, Yuebin
• Is Part Of: Engineering analysis with boundary elements. Volume 132(2021)
• Page Start: 202
• Page End: 220
• Publication Date: 2021-11-01
• Subjects: Element-free Galerkin method -- Moving least-squares approximation -- Penalty method -- Duality algorithm; 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.2021.06.019
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The element-free Galerkin method is presented for a quasistatic contact problem with the Tresca friction in elastic-viscoplastic materials. The elastic-viscoplastic constitutive model is considered in the problem and the clamped boundary conditions are imposed by the penalty method. The error estimates of the element-free Galerkin method are also obtained, which indicate that the convergence order depends on the nodal spacing, the time step, the largest degree of basis functions in the moving least-squares approximation and the penalty factor. Numerical examples demonstrate that the element-free Galerkin method provides an efficient numerical solution of the quasistatic contact problem with the Tresca friction in elastic-viscoplastic materials.