Continuous–discontinuous hybrid boundary node method for frictional contact problems. (February 2018)

• Record Type: Journal Article
• Authors: Zhong, Bing-Di; Yan, Fei; Lv, Jia-He
• Is Part Of: Engineering analysis with boundary elements. Volume 87(2018)
• Page Start: 19
• Page End: 26
• Publication Date: 2018-02
• Subjects: Meshless method -- Hybrid boundary node method -- Frictional contact problem -- Continuous–discontinuous hybrid boundary node method -- Discontinuous interpolation; 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.2017.11.007
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper presents a continuous–discontinuous hybrid boundary node method for frictional contact problems. In this method, the outer and internal boundaries are divided into several individual segments, for a continuous segment on outer boundary, the radial point interpolation method (RPIM) is employed for shape function construction, for discontinuous segments, the enriched discontinuous basis functions combined with RPIM are developed, in order to reflect the local field property of displacement and stress around crack tip, different basis functions for displacement and traction are developed for shape function construction on discontinuous segments individually. And the near tip asymptotic field functions and Heaviside function are employed for simulating the high gradient of stress field and discontinuous displacement field on contact surfaces. Besides a frictional contact theory and complementation detail for the present method is proposed, and some additional equations are developed for frictional contact iteration. Based on above technique and theory, a continuous–discontinuous hybrid boundary node method is proposed for frictional contact problems. Some numerical examples are shown that the present method is effective and can be widely used for some frictional contact engineering.