An innovative and efficient solution for axisymmetric contact problem between structure and half-space. (September 2022)

• Record Type: Journal Article
• Authors: Chen, Cheng; Lin, Gao; Hu, Zhiqiang
• Is Part Of: Engineering analysis with boundary elements. Volume 142(2022)
• Page Start: 10
• Page End: 27
• Publication Date: 2022-09
• Subjects: SBFEM -- Contact -- Nonlinearity -- Axisymmetry -- Linear complement; 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.2022.05.012
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this paper, with displacement increment as variables, the scaled boundary finite element equations of the axisymmetric plate and half-space are respectively derived based on the principle of virtual work. The dual vector is introduced to solve the boundary stiffness matrix. Linear complementary contact conditions are formulated as B-differentiable equations. With discrete, static assumptions of small displacement, B-differentiable equations system was formed by combining the contact conditions and the stiffness matrix of the plate-foundation. The equations can be iteratively solved by B-differentiable Newton method. In numerical experiments, the contact stress, slip and contact status of each contact node pair are compared with the results of the augmented Lagrangian contact algorithm based on FEM. When adopting different load types, thickness-to-radius ratio, plate-foundation stiffness ratio and friction coefficient, the axisymmetric contact problems between plate and half-space are discretized by 120 one-dimensional first-order elements. The applicability, accuracy and effectiveness of B-SBFEM for axisymmetric contact problems are verified by numerical examples.