Finite element solutions of two-dimensional contact problems based on a consistent mixed formulation

1987 ◽  
Vol 27 (4) ◽  
pp. 455-466 ◽  
Author(s):  
T.Y. Chang ◽  
A.F. Saleeb ◽  
S.C. Shyu
Keyword(s):  
Finite Element ◽  
Contact Problems ◽  
Mixed Formulation ◽  
Two Dimensional

Load History Effects on Fretting Contacts of Isotropic Materials

2004 ◽  
Vol 126 (2) ◽  
pp. 385-390 ◽  
Author(s):  
P. T. Rajeev ◽  
H. Murthy ◽  
T. N. Farris
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Singular Integral Equations ◽  
Contact Problems ◽  
Two Dimensional ◽  
Load History ◽  
Jet Engine ◽  
Isotropic Materials ◽  
History Effects ◽  
Cauchy Singular Integral

The load history that blade/disk contacts in jet engine attachment hardware are subject to can be very complex. Using finite element method (FEM) to track changes in the contact tractions due to changing loads can be computationally very expensive. For two-dimensional plane-strain contact problems with friction involving similar/dissimilar isotropic materials, the contact tractions can be related to the initial gap function and the slip function using coupled Cauchy singular integral equations (SIEs). The effect of load history on the contact tractions is illustrated by presenting results for an example fretting “mission.” For the case of dissimilar isotropic materials the mission results show the effect of the coupling between the shear traction and the contact pressure.

Two-dimensional elastic contact analysis by coupling finite element and boundary element methods

1998 ◽  
Vol 33 (6) ◽  
pp. 459-468 ◽  
Author(s):  
C Oysu ◽  
R T Fenner
Keyword(s):  
Finite Element ◽  
Boundary Element ◽  
Flat Surface ◽  
Contact Region ◽  
Contact Problems ◽  
Boundary Element Methods ◽  
Elastic Contact ◽  
Two Dimensional ◽  
Cylindrical Punch ◽  
Good Agreement

A coupled finite element and boundary element method is introduced for the analysis of two-dimensional elastic contact problems without friction. The Lagrange multiplier method is used to apply the contact constraints. A computer program, which can analyse axisymmetric, plane strain and plane stress problems, has been developed and used to demonstrate the accuracy of the method. The program is applied to a sphere in contact with a flat surface, a rigid punch pressed on to an elastic foundation and an elastic cylindrical punch in contact with an elastic plate. In all cases good agreement is obtained with analytical solutions for stresses near the contact region.

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