Mixed Finite Element Method for Contact Problems of Multibody

2010 ◽  
Author(s):  
Yusong Jiang ◽  
Chao Su
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Contact Problems ◽  
Element Method

scholarly journals Mixed Finite Element Method for Static and Dynamic Contact Problems with Friction and Initial Gaps

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Lanhao Zhao ◽  
Zhi Liu ◽  
Tongchun Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Finite Element ◽  
Iteration Process ◽  
Mixed Finite Element Method ◽  
Contact Problems ◽  
Dynamic Contact ◽  
Contact Forces ◽  
Stick Slip ◽  
Element Method

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.

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