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Mixed Finite Element Method for Static and Dynamic Contact Problems with Friction and Initial Gaps
Joint Authors
Zhao, Lanhao
Li, Tongchun
Liu, Zhi
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A novel mixed finite element method is proposed for static and dynamic contact problems with friction and initial gaps.
Based on the characteristic of local nonlinearity for the problem, the system of forces acting on the contactor is divided into two parts: external forces and contact forces.
The displacement of structure is chosen as the basic variable and the nodal contact force in contact region under local coordinate system is selected as the iteration variable to confine the nonlinear iteration process in the potential contact surface which is more numerically efficient.
In this way, the sophisticated contact nonlinearity is revealed by the variety of the contact forces which are determined by the external load and the contact state stick, slip, or separation.
Moreover, in the case of multibody contact problem, the flexibility matrix is symmetric and sparse; thus, the iterative procedure becomes easily carried out and much more economical.
In the paper, both the finite element formulations and the iteration process are given in detail for static and dynamic contact problems.
Four examples are included to demonstrate the accuracy and applicability of the presented method.
American Psychological Association (APA)
Zhao, Lanhao& Liu, Zhi& Li, Tongchun. 2014. Mixed Finite Element Method for Static and Dynamic Contact Problems with Friction and Initial Gaps. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044285
Modern Language Association (MLA)
Zhao, Lanhao…[et al.]. Mixed Finite Element Method for Static and Dynamic Contact Problems with Friction and Initial Gaps. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1044285
American Medical Association (AMA)
Zhao, Lanhao& Liu, Zhi& Li, Tongchun. Mixed Finite Element Method for Static and Dynamic Contact Problems with Friction and Initial Gaps. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044285
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044285