Affiliation:
1. University Tun Hussein Onn Malaysia
2. Saga University
Abstract
Studies of contact problem have been widely executed by researchers with variable scopes, methods and definitions. A common problem occurs while handling contact phenomena is sliding through element boundary [1], due to the discontinuity of the local coordinate between elements and a contact point [2] [3]. The common problem that occurs at an element boundary is a stable convergence result is hard to achieve [4], thus inspires authors to make a comparison of two beam methods which are Euler-Bernoulli beam theory and Timoshenko beam theory for frictionless contact problem. Authors have been investigated geometrically non-linear analysis with extremely large displacements by using Tangent Stiffness Method (TSM) [5], a robust non-linear analysis method to execute analysis and produce results with high accuracy. In this study, authors propose the modification of the beam elements with three nodes by considering the adaptation of shear deformation by Timoshenko beam theory. The modification enables the contact point to slide through the element edge smoothly and some numerical examples are provided in this study.
Publisher
Trans Tech Publications, Ltd.
Reference5 articles.
1. X. Chen, K. Nakamura, M. Mori, T. Hisada, Finite element analysis for large deformation frictional contact problems with finite sliding, JSME International Journal. 64 (1998) 50-57.
2. T. Tsutsui, H. Obiya, K. Ijima, An algorithm for contact problem with large deformation of plane frame structures, Advances in Computational Engineering & Science. (2009).
3. Z. M. Nizam, H. Obiya, A study on non-friction contact problem with large deformational analyses, Malaysian Technical Universities Conference on Engineering and Technology. (2008).
4. A. Konyukov, Geometrically exact covariant approach for contact between curves, Computer Methods in Applied Mechanics and Engineering. 199 (2010) 2510-2531.
5. H. Obiya, A study on accuracy and versatile of the tangent stiffness method by separation of element stiffness from geometrical stiffness (In Japanese), Saga University. (1998).