A polygonal-FEM technique in modeling large sliding contact on non-conformal meshes: A study on polygonal shape functions. Issue 5 (6th July 2015)

• Record Type: Journal Article
• Authors: Khoei, Amir R.; Yasbolaghi, R.; Biabanaki, S.O.R.
• Is Part Of: Engineering computations. Volume 32:Issue 5(2015)
• Page Start: 1391
• Page End: 1431
• Publication Date: 2015-07-06
• Subjects: Contact problem -- Non-conformal mesh -- Polygonal-FEM; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-04-2014-0070
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: – In this paper, the polygonal-FEM technique is presented in modeling large deformation – large sliding contact on non-conformal meshes. The purpose of this paper is to present a new technique in modeling arbitrary interfaces and discontinuities for non-linear contact problems by capturing discontinuous deformations in elements cut by the contact surface in uniform non-conformal meshes. Design/methodology/approach: – The geometry of contact surface is used to produce various polygonal elements at the intersection of the interface with the regular FE mesh, in which the extra degrees-of-freedom are defined along the interface. The contact constraints are imposed between polygonal elements produced along the contact surface through the node-to-surface contact algorithm. Findings: – Numerical convergence analysis is carried out to study the convergence rate for various polygonal interpolation functions, including the Wachspress interpolation functions, the metric shape functions, the natural neighbor-based shape functions, and the mean value shape functions. Finally, numerical examples are solved to demonstrate the efficiency of proposed technique in modeling contact problems in large deformations. Originality/value: – A new technique is presented based on the polygonal-FEM technique in modeling arbitrary interfaces and discontinuities for non-linear contact problems by capturing discontinuous deformations in elements cut by the contact surface in uniform non-conformal meshes.